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Oregon State University
1.
Talbot, Paul W.
Extending the discrete maximum principle for the IMC equations.
Degree: MS, Nuclear Engineering, 2012, Oregon State University
URL: http://hdl.handle.net/1957/36503
► The implicit Monte Carlo (IMC) method [16] for radiative transfer, developed in 1971, provides numerical solutions to the tightly-coupled, highly-nonlinear radiative heat transfer equations in…
(more)
▼ The implicit
Monte Carlo (IMC)
method [16] for radiative transfer, developed in 1971, provides numerical solutions to the tightly-coupled, highly-nonlinear radiative heat transfer equations in many physical situations. Despite its popularity, there are instances of overheating in the solution for particular choices of time steps and spatial grid sizes. To prevent overheating, conditions on teh time step size Δt have been sought to ensure that the implicit
Monte Carlo (IMC) equations satisfy a maximum principle. Most recently, a discrete maximum principle (DMP) for teh IMC equations has been developed [32] that predicts the necessary time step size for boundedness given the spatial grid size. Predictions given by this DMP assumed equilibrium thermal initial conditions, was developed using pseudo-analytic and symbolic algebra tools that are computationally expensive, has only been applied to one-dimensional Marshak wave problems, and has not considered the evolution of the DMP predictions over multiple time steps. These limitations restrict the utility of the DMP predictions.
We extend the DMP derivation to overcome these limitations and provide an algorithm that can be introduced into IMC codes with minimal impact on simulation CPU time. This extended DMP effectively treats non-equilibrium thermal initial conditions, decreases calculation time by using multigroup approximations in
frequency, considers multiple spatial dimensions with an arbitrary number of neighboring sources, and overcomes inherent difficulties for the DMP in time-dependent problems.
Disequilibrium in the initial conditions is introduced through a redefinition of existing terms from [32] to different radiation and material temperatures on the first time step. This results in a limiting DMP inequality similar in form to the original. Multifrequency approximations are then applied by assuming separation of variables. Energy deposition from multiple sources is assumed to follow linear superposition and the DMP from [32] is re-derived to incorporate multiple incident sources of energy in multiple dimensions. Lastly, an inherent flaw in the DMP resulting in poor predictions when temperature varies slowly over a region is overcome by developing a threshold temperature difference, above which the DMP operates. We have numerically implemented these improvements and validated the results against IMC solutions, showing the predictive capacity of the more general DMP algorithm. We find the disequlibrium conditions to be properly incorporated into the DMP, and multifrequency approximations to be accurate over a large range of time step and spatial grid sizes. The linear superposition assumption is generally very accurate, but infrequently leads to DMP predictions which are not conservative. We also demonstrate that the temperature difference threshold prevents inaccurate predictions by the DMP while preserving its functionality.
Advisors/Committee Members: Palmer, Todd S. (advisor), Wollaber, Allan B. (committee member).
Subjects/Keywords: Monte Carlo method
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APA ·
Chicago ·
MLA ·
Vancouver ·
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APA (6th Edition):
Talbot, P. W. (2012). Extending the discrete maximum principle for the IMC equations. (Masters Thesis). Oregon State University. Retrieved from http://hdl.handle.net/1957/36503
Chicago Manual of Style (16th Edition):
Talbot, Paul W. “Extending the discrete maximum principle for the IMC equations.” 2012. Masters Thesis, Oregon State University. Accessed December 13, 2019.
http://hdl.handle.net/1957/36503.
MLA Handbook (7th Edition):
Talbot, Paul W. “Extending the discrete maximum principle for the IMC equations.” 2012. Web. 13 Dec 2019.
Vancouver:
Talbot PW. Extending the discrete maximum principle for the IMC equations. [Internet] [Masters thesis]. Oregon State University; 2012. [cited 2019 Dec 13].
Available from: http://hdl.handle.net/1957/36503.
Council of Science Editors:
Talbot PW. Extending the discrete maximum principle for the IMC equations. [Masters Thesis]. Oregon State University; 2012. Available from: http://hdl.handle.net/1957/36503
2.
Bhatia, Saurav.
Non-Rayleigh scattering by a randomly oriented elongated scatterer.
Degree: 2012, MIT and Woods Hole Oceanographic Institution
URL: http://hdl.handle.net/1912/5415
► The echo statistics of a randomly rough, randomly oriented prolate spheroid that is randomly located in a beampattern are investigated from physics-based principles both analytically…
(more)
▼ The echo statistics of a randomly rough, randomly oriented prolate spheroid that
is randomly located in a beampattern are investigated from physics-based principles
both analytically and by Monte Carlo methods. This is a direct-path geometry in
which reflections from neighboring boundaries are not a factor. The center of the
prolate spheroid is assumed to be con fined to the plane containing the MRA (maximum
response axis). Additionally, the rotation of the prolate spheroid is assumed
to always be in this plane. The statistics and, in particular, the tails of the probability
density function (PDF) and probability of false alarm (PFA) are shown to
be strongly non-Rayleigh and a strong function of shape of scatterer. The tails are
shown to increase above that associated with a Rayleigh distribution with increasing
degree of elongation (aspect ratio) of the scatterer and when roughness effects are introduced. And, as also shown in previous studies, the effects associated with
the scatterer being randomly located in the beam contribute to the non-Rayleigh
nature of the echo. The analytically obtained results are compared to Monte Carlo
simulations for verification.
Subjects/Keywords: Monte Carlo method
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Chicago ·
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CSE |
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APA (6th Edition):
Bhatia, S. (2012). Non-Rayleigh scattering by a randomly oriented elongated scatterer. (Thesis). MIT and Woods Hole Oceanographic Institution. Retrieved from http://hdl.handle.net/1912/5415
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Bhatia, Saurav. “Non-Rayleigh scattering by a randomly oriented elongated scatterer.” 2012. Thesis, MIT and Woods Hole Oceanographic Institution. Accessed December 13, 2019.
http://hdl.handle.net/1912/5415.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Bhatia, Saurav. “Non-Rayleigh scattering by a randomly oriented elongated scatterer.” 2012. Web. 13 Dec 2019.
Vancouver:
Bhatia S. Non-Rayleigh scattering by a randomly oriented elongated scatterer. [Internet] [Thesis]. MIT and Woods Hole Oceanographic Institution; 2012. [cited 2019 Dec 13].
Available from: http://hdl.handle.net/1912/5415.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Bhatia S. Non-Rayleigh scattering by a randomly oriented elongated scatterer. [Thesis]. MIT and Woods Hole Oceanographic Institution; 2012. Available from: http://hdl.handle.net/1912/5415
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Hong Kong University of Science and Technology
3.
Sun, Lihua.
Essays on monte carlo simulation and financial engineering.
Degree: 2010, Hong Kong University of Science and Technology
URL: https://doi.org/10.14711/thesis-b1115868
;
http://repository.ust.hk/ir/bitstream/1783.1-7911/1/th_redirect.html
► This thesis deals with three problems in financial engineering and Monte Carlo simulation.We first price a financial derivative which is called stock loan under Kou’s…
(more)
▼ This thesis deals with three problems in financial engineering and Monte Carlo simulation.We first price a financial derivative which is called stock loan under Kou’s double-exponential jump diffusion process. To solve this problem, we first formulate the valuation of a stock loan as pricing of an American call option with a time-dependent strike. We then investigate pricing problems of both infinite- and finite-maturity stock loans. In the infinite-maturity case, we obtain a closed-form pricing formula by deriving the moment generating function of the first passage time for the double-exponential jump diffusion process and solving the related optimal stopping problem. In the finite-maturity case, we provide an analytical approximation to the stock loan price by solving an ordinary integro-differential equation explicitly. Numerical experiments demonstrate the accuracy of our pricing methods. The second part of the thesis deals with the importance sampling (IS) estimators of Value-at-Risk (VaR) and Conditional Value-at-Risk (CVaR). We first derive asymptotic representations of VaR and CVaR , and then prove the asymptotic properties of the IS estimators of VaR and CVaR, e.g., asymptotic convergence property and asymptotic normality property, under some weak condition of the likelihood ratio function based on the representations. At last, we provide simple conditions for IS procedures to be effective. The third part of the thesis provides a Gaussian process-based search (GPS) for finding out global optima of discrete black-box functions which can only be estimated via simulation. The most critical issue for this kind of optimization problems is the tradeoff between exploitation and exploration. We first give a general adaptive random search framework and discuss the desired properties of the sampling distribution to balance exploitation and exploration. A Gaussian process is then proposed to facilitate constructing the sampling distribution. This Gaussian process-based algorithm, is fast to construct, can balance exploitation and exploration automatically, and is provable convergent under some weak conditions. The numerical performance of the algorithm is quite good.
Subjects/Keywords: Monte Carlo method; Financial engineering
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Sun, L. (2010). Essays on monte carlo simulation and financial engineering. (Thesis). Hong Kong University of Science and Technology. Retrieved from https://doi.org/10.14711/thesis-b1115868 ; http://repository.ust.hk/ir/bitstream/1783.1-7911/1/th_redirect.html
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Sun, Lihua. “Essays on monte carlo simulation and financial engineering.” 2010. Thesis, Hong Kong University of Science and Technology. Accessed December 13, 2019.
https://doi.org/10.14711/thesis-b1115868 ; http://repository.ust.hk/ir/bitstream/1783.1-7911/1/th_redirect.html.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Sun, Lihua. “Essays on monte carlo simulation and financial engineering.” 2010. Web. 13 Dec 2019.
Vancouver:
Sun L. Essays on monte carlo simulation and financial engineering. [Internet] [Thesis]. Hong Kong University of Science and Technology; 2010. [cited 2019 Dec 13].
Available from: https://doi.org/10.14711/thesis-b1115868 ; http://repository.ust.hk/ir/bitstream/1783.1-7911/1/th_redirect.html.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Sun L. Essays on monte carlo simulation and financial engineering. [Thesis]. Hong Kong University of Science and Technology; 2010. Available from: https://doi.org/10.14711/thesis-b1115868 ; http://repository.ust.hk/ir/bitstream/1783.1-7911/1/th_redirect.html
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Hong Kong
4.
陳卓銘; Chan, Cheuk-ming.
Monte Carlo simulation in PET instrumentation.
Degree: Master of Medical Sciences, 2015, University of Hong Kong
URL: Chan,
C.
[陳卓銘].
(2015).
Monte
Carlo
simulation
in
PET
instrumentation.
(Thesis).
University
of
Hong
Kong,
Pokfulam,
Hong
Kong
SAR.
Retrieved
from
http://dx.doi.org/10.5353/th_b5611979
;
http://hdl.handle.net/10722/221462
► Proton therapy is one of the most precise modalities of external radiation therapy. Compared to the conventional photon therapy, due to the present of Bragg…
(more)
▼ Proton therapy is one of the most precise
modalities of external radiation therapy. Compared to the
conventional photon therapy, due to the present of Bragg Peak,
proton therapy has a much lower entrance dose and no dose beyond
the target volume. Meanwhile, due to this special feature, there is
a high accuracy requirement of the treatment delivery. There are
different methods for verifying the spatial distribution and the
range of the delivered dose. One of these measurement methods is
using Position Emission Tomography (PET), which requires a
simulation of the expected positron emitter distribution and
compare it with the PET measurements during (i.e. in-beam) or after
(i.e. in-room) the treatment.
In this study, based on GATE
(Version 6.2), running on vGATE (Version 2.1), a four-detector
“in-beam” PET scanning system is evaluated using Monte Carlo
Simulation methods. In addition, Oxygen-15, which is one of the
positron emitting isotopes generated from proton irradiation, is
also simulated. The installation of GATE is validated by comparing
the simulation results to the benchmarking results provided by the
code developers. After that, the technical performance
characteristics of the four-detector “in-beam” PET scanning system,
such as scatter fraction, random fraction, sensitivity and spatial
accuracy have been evaluated and compared to another eight-detector
“in-room” PET scanning system.
The simulations demonstrate some
determining factors, such as the diameters of the cylindrical
phantom, the locations and activities of the sources, and etc.,
which can affect the technical performance characteristics of both
the scanning systems.
published_or_final_version
Medicine
Master
Master of Medical Sciences
Subjects/Keywords: Monte Carlo method; Tomography, Emission
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
陳卓銘; Chan, C. (2015). Monte Carlo simulation in PET instrumentation. (Masters Thesis). University of Hong Kong. Retrieved from Chan, C. [陳卓銘]. (2015). Monte Carlo simulation in PET instrumentation. (Thesis). University of Hong Kong, Pokfulam, Hong Kong SAR. Retrieved from http://dx.doi.org/10.5353/th_b5611979 ; http://hdl.handle.net/10722/221462
Chicago Manual of Style (16th Edition):
陳卓銘; Chan, Cheuk-ming. “Monte Carlo simulation in PET instrumentation.” 2015. Masters Thesis, University of Hong Kong. Accessed December 13, 2019.
Chan, C. [陳卓銘]. (2015). Monte Carlo simulation in PET instrumentation. (Thesis). University of Hong Kong, Pokfulam, Hong Kong SAR. Retrieved from http://dx.doi.org/10.5353/th_b5611979 ; http://hdl.handle.net/10722/221462.
MLA Handbook (7th Edition):
陳卓銘; Chan, Cheuk-ming. “Monte Carlo simulation in PET instrumentation.” 2015. Web. 13 Dec 2019.
Vancouver:
陳卓銘; Chan C. Monte Carlo simulation in PET instrumentation. [Internet] [Masters thesis]. University of Hong Kong; 2015. [cited 2019 Dec 13].
Available from: Chan, C. [陳卓銘]. (2015). Monte Carlo simulation in PET instrumentation. (Thesis). University of Hong Kong, Pokfulam, Hong Kong SAR. Retrieved from http://dx.doi.org/10.5353/th_b5611979 ; http://hdl.handle.net/10722/221462.
Council of Science Editors:
陳卓銘; Chan C. Monte Carlo simulation in PET instrumentation. [Masters Thesis]. University of Hong Kong; 2015. Available from: Chan, C. [陳卓銘]. (2015). Monte Carlo simulation in PET instrumentation. (Thesis). University of Hong Kong, Pokfulam, Hong Kong SAR. Retrieved from http://dx.doi.org/10.5353/th_b5611979 ; http://hdl.handle.net/10722/221462

Oregon State University
5.
Lewis, Paul (Paul Arthur).
Ensemble Monte-Carlo planning : an empirical study.
Degree: MS, Computer Science, 2010, Oregon State University
URL: http://hdl.handle.net/1957/16472
► Monte-Carlo planning algorithms such as UCT make decisions at each step by intelligently expanding a single search tree given the available time and then selecting…
(more)
▼ Monte-
Carlo planning algorithms such as UCT make decisions at each step by
intelligently expanding a single search tree given the available time and then
selecting the best root action. Recent work has provided evidence that it can be
advantageous to instead construct an ensemble of search trees and make a
decision according to a weighted vote. However, these prior investigations have
only considered the application domains of Go and Solitaire and were limited in
the scope of ensemble configurations considered. In this paper, we conduct a
large scale empirical study of ensemble
Monte-
Carlo planning using the UCT
algorithm in a set of five additional diverse and challenging domains. In
particular, we evaluate the advantages of a broad set of ensemble configurations
in terms of space and time efficiency in both parallel and sequential time models.
Our results show that ensembles are an effective way to improve performance
given a parallel model, can significantly reduce space requirements and in some
cases may improve performance in a sequential model. Additionally, from our
work we produced an open-source planning library.
Advisors/Committee Members: Fern, Alan (advisor), Fern, Xiaoli (committee member).
Subjects/Keywords: planning; Monte Carlo method
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Lewis, P. (. A. (2010). Ensemble Monte-Carlo planning : an empirical study. (Masters Thesis). Oregon State University. Retrieved from http://hdl.handle.net/1957/16472
Chicago Manual of Style (16th Edition):
Lewis, Paul (Paul Arthur). “Ensemble Monte-Carlo planning : an empirical study.” 2010. Masters Thesis, Oregon State University. Accessed December 13, 2019.
http://hdl.handle.net/1957/16472.
MLA Handbook (7th Edition):
Lewis, Paul (Paul Arthur). “Ensemble Monte-Carlo planning : an empirical study.” 2010. Web. 13 Dec 2019.
Vancouver:
Lewis P(A. Ensemble Monte-Carlo planning : an empirical study. [Internet] [Masters thesis]. Oregon State University; 2010. [cited 2019 Dec 13].
Available from: http://hdl.handle.net/1957/16472.
Council of Science Editors:
Lewis P(A. Ensemble Monte-Carlo planning : an empirical study. [Masters Thesis]. Oregon State University; 2010. Available from: http://hdl.handle.net/1957/16472

Stellenbosch University
6.
Blanckenberg, J. P (Jacobus Petrus).
Monte Carlo simulation of direction sensitive antineutrino detection.
Degree: Physics, 2010, Stellenbosch University
URL: http://hdl.handle.net/10019.1/2885
► Thesis (MSc (Physics)) – University of Stellenbosch, 2010.
ENGLISH ABSTRACT: Neutrino and antineutrino detection is a fairly new eld of experimental physics, mostly due to the…
(more)
▼ Thesis (MSc (Physics)) – University of Stellenbosch, 2010.
ENGLISH ABSTRACT:
Neutrino and antineutrino detection is a fairly new eld of experimental physics,
mostly due to the small interaction cross section of these particles. Most of
the detectors in use today are huge detectors consisting of kilotons of scintilator
material and large arrays of photomultiplier tubes. Direction sensitive
antineutrino detection has however, not been done (at the time of writing of
this thesis). In order to establish the feasibility of direction sensitive antineutrino
detection, a Monte Carlo code, DSANDS, was written to simulate the
detection process. This code focuses on the neutron and positron (the reaction
products after capture on a proton) transport through scintilator media. The
results are then used to determine the original direction of the antineutrino,
in the same way that data from real detectors would be used, and to compare
it with the known direction. Further investigation is also carried out into the
required amount of statistics for accurate results in an experimental eld where
detection events are rare. Results show very good directional sensitivity of the
detection method.
AFRIKAANSE OPSOMMING:
Neutrino en antineutrino meting is 'n relatief nuwe veld in eksperimentele sika,
hoofsaaklik as gevolg van die klein interaksie deursnee van hierdie deeltjies. Die
meeste hedendaagse detektors is massiewe detektors met kilotonne sintilator
materiaal en groot aantalle fotovermenigvuldiger buise. Tans is rigting sensitiewe
antineutrino metings egter nog nie uit gevoer nie. 'n Monte Carlo kode,
DSANDS, is geskryf om die meet proses te simuleer en sodoende die uitvoerbaarheid
van rigting sensitiewe antineutrino metings vas te stel. Hierdie kode
fokus op die beweging van neutrone en positrone (die reaksie produkte) deur
die sintilator medium. Die resultate word dan gebruik om die oorspronklike
rigting van die antineutrino te bepaal, soos met data van regte detektors gedoen
sou word, en te vergelyk met die bekende oorspronklike rigting van die
antineutrino. Verder word daar ook gekyk na die hoeveelheid statistiek wat
nodig sal wees om akkurate resultate te kry in 'n veld waar metings baie skaars
is. Die resultate wys baie goeie rigting sensitiwiteit van die meet metode.
Advisors/Committee Members: Van der Ventel, B. I. S., Smit, F. D., University of Stellenbosch. Faculty of Science. Dept. of Physics. Nuclear Physics..
Subjects/Keywords: Physics; Monte Carlo method; Antineutrinos
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Blanckenberg, J. P. (. P. (2010). Monte Carlo simulation of direction sensitive antineutrino detection. (Thesis). Stellenbosch University. Retrieved from http://hdl.handle.net/10019.1/2885
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Blanckenberg, J P (Jacobus Petrus). “Monte Carlo simulation of direction sensitive antineutrino detection.” 2010. Thesis, Stellenbosch University. Accessed December 13, 2019.
http://hdl.handle.net/10019.1/2885.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Blanckenberg, J P (Jacobus Petrus). “Monte Carlo simulation of direction sensitive antineutrino detection.” 2010. Web. 13 Dec 2019.
Vancouver:
Blanckenberg JP(P. Monte Carlo simulation of direction sensitive antineutrino detection. [Internet] [Thesis]. Stellenbosch University; 2010. [cited 2019 Dec 13].
Available from: http://hdl.handle.net/10019.1/2885.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Blanckenberg JP(P. Monte Carlo simulation of direction sensitive antineutrino detection. [Thesis]. Stellenbosch University; 2010. Available from: http://hdl.handle.net/10019.1/2885
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Texas Southwestern Medical Center
7.
Pidikiti, Rajesh 1982-.
Development of Monte Carlo Treatment Planning and Dosimetry System for Small Animal Irradiator.
Degree: 2012, University of Texas Southwestern Medical Center
URL: http://hdl.handle.net/2152.5/ETD-UTSWMED-2012-12-53
► This work utilizes Monte Carlo simulation techniques to build a model of an x-ray tube in order to develop Monte Carlo treatment planning system for…
(more)
▼ This work utilizes
Monte Carlo simulation techniques to build a model of an x-ray tube in order to develop
Monte Carlo treatment planning system for a small animal irradiator.
To accomplish this, the absolute dose calibration of the irradiator performed in accordance with the recommendations of AAPM TG-61 protocol. Both in-air and in-water calibrations were performed at a 30.5 cm source-to-surface distance (SSD) for the reference applicator 40x40 mm2 square field size. The BEAM/EGS was used to model 225 kV photon beams from a small animal irradiator (Precision XRAD225). The
Monte Carlo model was extensively tuned to provide good agreement with achievable measurements of the beam characteristics (e.g. PDD and off-axis ratios). Subsequently, output factors for various square and circular applicators were measured using different dosimeters (ionization chamber, radiochromic film) and compared with MC simulations. The standard gamma index
method with AAPM TG 53 recommendations are used to benchmark the measurements (radio chromic film) against planar dose (
Monte Carlo simulation) along with isodose lines and profiles in both homogeneous and heterogeneous mediums. The statistical uncertainty on the MC-calculated results is between 0.5% and 2% for most points. The CBCT images obtained on the XRAD 225Cx irradiator were converted to a material /density matrix as an input to DOSXYZnrc a MC dose computation module. The measured and computed point doses and isodose distributions were compared using the gamma index
method. The absolute dose measured for reference collimator at 30.5 cm SSD in water and in air is 3.42 and 3.45 Gy/min. The agreement between simulated and measured dosimetric characteristics was excellent. For all fields, a good agreement is observed between measurements and calculations. Finally, a
Monte Carlo treatment planning system for heterogeneous media is developed and validated.
Monte Carlo simulation provides an indispensible tool for validating measurements of the smallest field sizes used in preclinical small animal irradiation.
Advisors/Committee Members: Stojadinovic, Strahinja, Solberg, Timothy, Anderson, Jon, Foster, Ryan, Medin, Paul.
Subjects/Keywords: Calibration; Monte Carlo Method; Radiometry
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Pidikiti, R. 1. (2012). Development of Monte Carlo Treatment Planning and Dosimetry System for Small Animal Irradiator. (Thesis). University of Texas Southwestern Medical Center. Retrieved from http://hdl.handle.net/2152.5/ETD-UTSWMED-2012-12-53
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Pidikiti, Rajesh 1982-. “Development of Monte Carlo Treatment Planning and Dosimetry System for Small Animal Irradiator.” 2012. Thesis, University of Texas Southwestern Medical Center. Accessed December 13, 2019.
http://hdl.handle.net/2152.5/ETD-UTSWMED-2012-12-53.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Pidikiti, Rajesh 1982-. “Development of Monte Carlo Treatment Planning and Dosimetry System for Small Animal Irradiator.” 2012. Web. 13 Dec 2019.
Vancouver:
Pidikiti R1. Development of Monte Carlo Treatment Planning and Dosimetry System for Small Animal Irradiator. [Internet] [Thesis]. University of Texas Southwestern Medical Center; 2012. [cited 2019 Dec 13].
Available from: http://hdl.handle.net/2152.5/ETD-UTSWMED-2012-12-53.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Pidikiti R1. Development of Monte Carlo Treatment Planning and Dosimetry System for Small Animal Irradiator. [Thesis]. University of Texas Southwestern Medical Center; 2012. Available from: http://hdl.handle.net/2152.5/ETD-UTSWMED-2012-12-53
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Rutgers University
8.
Smith, Beverly Veronica.
Product design and product portfolio modeled integration and optimization.
Degree: PhD, Chemical and Biochemical Engineering, 2010, Rutgers University
URL: http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000056778
► In this work we developed decision support frameworks that relied on the modeling of multidisciplinary integration to enable the selection of optimal product design alternative…
(more)
▼ In this work we developed decision support frameworks that relied on the modeling of multidisciplinary integration to enable the selection of optimal product design alternative and to facilitate efficient chemical product design planning and execution. In recent years, the design of chemical products has received renewed and growing interest, as the industry transitions from a dominant bulk chemical product portfolio to one of high value-add specialty products that focus on product end-use properties. This industry shift results from the onset of global competitive pressures accompanied by intense market and consumer demand for improved product quality, lower product cost, shortened development cycle and greater product differentiation. Concurrently, the chemical manufacturers of commodity products are faced with pricing pressures and limited cost reduction options. The existence of these challenging market situations demand the adoption of rapid and efficient product design approaches that leverage specialized capabilities across disciplines within the chemical enterprise. The findings from a recent industry benchmark study, conducted as a part of this research, supported the motivation for this work. An assessment of current industry practices involving 15 chemical manufacturers revealed varying levels of organizational maturity as it relates to multidisciplinary and cross-functional leveraging of knowledge in product design undertaking. The chemical manufacturers were evaluated on current practices of integrating consumer preferences, product-process integration and practices of linking business decisions into the product design process. The investigation revealed the absence of formalized frameworks to integrate the critical resources necessary to support optimal product performance and design process execution. In this study, the set of decision support procedures formalize the interaction between product design and product portfolio decision making by integrating critical elements of both domains. Hence the methodologies incorporates structural framework to forge strategic alignment while optimizing domain interaction with an aim to minimize cost, reduce cycle time and determine optimal product design alternative. Embedded industry case studies illustrate the application of the proposed methodologies which utilize a hybrid approach, involving the application of structural frameworks for domain integration, along with Monte Carlo Simulation and algorithmic processing to optimize the product design planning and execution process.
Advisors/Committee Members: Smith, Beverly Veronica (author), Ierapetritou, Marianthi G. (chair), Shapley, Nina (internal member), Androulakis, Ioannis (internal member), Lubiak, Stephen (outside member).
Subjects/Keywords: Product design; Monte Carlo method
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APA (6th Edition):
Smith, B. V. (2010). Product design and product portfolio modeled integration and optimization. (Doctoral Dissertation). Rutgers University. Retrieved from http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000056778
Chicago Manual of Style (16th Edition):
Smith, Beverly Veronica. “Product design and product portfolio modeled integration and optimization.” 2010. Doctoral Dissertation, Rutgers University. Accessed December 13, 2019.
http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000056778.
MLA Handbook (7th Edition):
Smith, Beverly Veronica. “Product design and product portfolio modeled integration and optimization.” 2010. Web. 13 Dec 2019.
Vancouver:
Smith BV. Product design and product portfolio modeled integration and optimization. [Internet] [Doctoral dissertation]. Rutgers University; 2010. [cited 2019 Dec 13].
Available from: http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000056778.
Council of Science Editors:
Smith BV. Product design and product portfolio modeled integration and optimization. [Doctoral Dissertation]. Rutgers University; 2010. Available from: http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000056778

Rutgers University
9.
Wang, Liang, 1991-.
On parameter estimation of state space models and its applications.
Degree: PhD, Statistics and Biostatistics, 2018, Rutgers University
URL: https://rucore.libraries.rutgers.edu/rutgers-lib/57751/
► State space model is a class of models where the observations are driven by underlying stochastic processes. It is widely used in computer vision, economics…
(more)
▼ State space model is a class of models where the observations are driven by underlying stochastic processes. It is widely used in computer vision, economics and financial data analysis, engineering, environmental sciences and etc. My thesis mainly addresses the parameter estimation problem of state space model and the applications of it. This thesis starts with a brief introduction and the motivation for studying the problems in the first chapter. The second chapter follows the first one by covering the main tools used to study the topics in the thesis. The general framework of state space models and its related filtering methods, Kalman Filtering for linear Gaussian models and sequential Monte Carlo for other cases, are introduced. The information criteria, as a tool for model selection, are also covered in this chapter. The parameter estimation problem is mainly discussed in the third chapter. Two algorithms under the general framework of Stochastic Approximation methods are proposed. These two algorithms attain much faster convergence rate and less computational cost by variance reduction techniques which utilize the property of sequential Monte Carlo methods. Two numerical examples are examined to compare the performance. Another contribution of Chapter 3 is the application of sequantial Monte Carlo methods in modeling and predicting the bond yield curve with regime-switching Dynamic Nelson-Siegel model. The fourth chapter, which is a joint work with Hao Chang, develops a state space model with regime switching to detect periodically collapsing rational bubbles in stock price. The present-value stock-price model is expressed in a state space form and the bubble process is modeled as a conditional dynamic linear system. The asset-bubble system is estimated by a novel sequential Monte Carlo based method, Mixture Kalman Filter (MKF). The efficacy of the proposed method is examined by simulated observations and real stock index of the US market. Another application of state space model with regime switching is discussed in the fifth chapter, in which real-time Blood Glucose Monitoring problem is addressed using a conditional dynamic linear system modeling. A study with a biostatistical dataset, Star 1 dataset, has shown the advantage of the proposed novel estimation framework. In the sixth chapter, a nonparametric regression model, l1 trend filtering method is discussed. Two trend filtering models out of state space representation, both of which have similar property as l1 trend filtering, are proposed. With the implementation of sequential Monte Carlo methods as well as a greedy Viterbi algorithm, both trend filtering models can operate on-line rather than just on batch data. To better emphasize the two models' improvement in on-line trend filtering, a real world econometrics topic is introduced. The econometric example shows the competence of trend filtering as well as the efficiency of the proposed models.
Advisors/Committee Members: Chen, Rong (chair), Tan, Zhiqiang (internal member), Xiao, Han (internal member), Wu, Yangru (outside member), School of Graduate Studies.
Subjects/Keywords: Stochastic models; Monte Carlo method
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Wang, Liang, 1. (2018). On parameter estimation of state space models and its applications. (Doctoral Dissertation). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/57751/
Chicago Manual of Style (16th Edition):
Wang, Liang, 1991-. “On parameter estimation of state space models and its applications.” 2018. Doctoral Dissertation, Rutgers University. Accessed December 13, 2019.
https://rucore.libraries.rutgers.edu/rutgers-lib/57751/.
MLA Handbook (7th Edition):
Wang, Liang, 1991-. “On parameter estimation of state space models and its applications.” 2018. Web. 13 Dec 2019.
Vancouver:
Wang, Liang 1. On parameter estimation of state space models and its applications. [Internet] [Doctoral dissertation]. Rutgers University; 2018. [cited 2019 Dec 13].
Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/57751/.
Council of Science Editors:
Wang, Liang 1. On parameter estimation of state space models and its applications. [Doctoral Dissertation]. Rutgers University; 2018. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/57751/

University of Missouri – Columbia
10.
Saldivar, Issac.
Direct Simulation Monte Carlo for modeling spatially homogeneous multi-component aerosols.
Degree: 2018, University of Missouri – Columbia
URL: http://hdl.handle.net/10355/68938
► Nuclear aerosols generated under normal operational and post-accident reactor environments are of particular importance in estimation of the nuclear source term. Several light water reactor…
(more)
▼ Nuclear aerosols generated under normal operational and post-accident reactor environments are of particular importance in estimation of the nuclear source term. Several light water reactor aerosol containment experiments provided an experimental database for verification and validation of thermal-hydraulic and aerosol transport codes. The Direct Simulation
Monte Carlo (DSMC) technique has been shown to model multicomponent aerosol dynamics accurately while maintaining greater fidelity to actual aerosol physics than its sectional, moments, and finite element predecessors. This research focuses on the development of a comprehensive n-component source term code for modeling the behavior of aerosolized fission products based on the DSMC technique. Effective DSMC benchmarks provided further confidence in the technique’s capabilities for modeling exceedingly complex systems. With the inclusion of the Knudsen, Kelvin, and solute effects in the Mason model, the role of condensation on aerosol evolution showed the differentiation of particles by physical size and chemical properties. High fidelity large-scale simulations posed evident but considerable challenges to computational runtime. Developments in the simulation scaling theory for coagulation, condensation, deposition, and generation processes showed to give comparable results while simultaneously reducing simulation time significantly. The evolution of aerosols coupled to environments was explored, and benchmark simulations provided further evidence that DSMC accurately models aerosol dynamics when coupled with containment thermal-hydraulics.
Advisors/Committee Members: Loyalka, Sudarshan K. (advisor).
Subjects/Keywords: Aerosols, Radioactive; Monte Carlo method
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Chicago ·
MLA ·
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Export
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APA (6th Edition):
Saldivar, I. (2018). Direct Simulation Monte Carlo for modeling spatially homogeneous multi-component aerosols. (Thesis). University of Missouri – Columbia. Retrieved from http://hdl.handle.net/10355/68938
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Saldivar, Issac. “Direct Simulation Monte Carlo for modeling spatially homogeneous multi-component aerosols.” 2018. Thesis, University of Missouri – Columbia. Accessed December 13, 2019.
http://hdl.handle.net/10355/68938.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Saldivar, Issac. “Direct Simulation Monte Carlo for modeling spatially homogeneous multi-component aerosols.” 2018. Web. 13 Dec 2019.
Vancouver:
Saldivar I. Direct Simulation Monte Carlo for modeling spatially homogeneous multi-component aerosols. [Internet] [Thesis]. University of Missouri – Columbia; 2018. [cited 2019 Dec 13].
Available from: http://hdl.handle.net/10355/68938.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Saldivar I. Direct Simulation Monte Carlo for modeling spatially homogeneous multi-component aerosols. [Thesis]. University of Missouri – Columbia; 2018. Available from: http://hdl.handle.net/10355/68938
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Edinburgh
11.
Zhang, Yichuan.
Scalable geometric Markov chain Monte Carlo.
Degree: PhD, 2016, University of Edinburgh
URL: http://hdl.handle.net/1842/20978
► Markov chain Monte Carlo (MCMC) is one of the most popular statistical inference methods in machine learning. Recent work shows that a significant improvement of…
(more)
▼ Markov chain Monte Carlo (MCMC) is one of the most popular statistical inference methods in machine learning. Recent work shows that a significant improvement of the statistical efficiency of MCMC on complex distributions can be achieved by exploiting geometric properties of the target distribution. This is known as geometric MCMC. However, many such methods, like Riemannian manifold Hamiltonian Monte Carlo (RMHMC), are computationally challenging to scale up to high dimensional distributions. The primary goal of this thesis is to develop novel geometric MCMC methods applicable to large-scale problems. To overcome the computational bottleneck of computing second order derivatives in geometric MCMC, I propose an adaptive MCMC algorithm using an efficient approximation based on Limited memory BFGS. I also propose a simplified variant of RMHMC that is able to work effectively on larger scale than the previous methods. Finally, I address an important limitation of geometric MCMC, namely that is only available for continuous distributions. I investigate a relaxation of discrete variables to continuous variables that allows us to apply the geometric methods. This is a new direction of MCMC research which is of potential interest to many applications. The effectiveness of the proposed methods is demonstrated on a wide range of popular models, including generalised linear models, conditional random fields (CRFs), hierarchical models and Boltzmann machines.
Subjects/Keywords: 519.2; Monte Carlo method
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APA ·
Chicago ·
MLA ·
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Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Zhang, Y. (2016). Scalable geometric Markov chain Monte Carlo. (Doctoral Dissertation). University of Edinburgh. Retrieved from http://hdl.handle.net/1842/20978
Chicago Manual of Style (16th Edition):
Zhang, Yichuan. “Scalable geometric Markov chain Monte Carlo.” 2016. Doctoral Dissertation, University of Edinburgh. Accessed December 13, 2019.
http://hdl.handle.net/1842/20978.
MLA Handbook (7th Edition):
Zhang, Yichuan. “Scalable geometric Markov chain Monte Carlo.” 2016. Web. 13 Dec 2019.
Vancouver:
Zhang Y. Scalable geometric Markov chain Monte Carlo. [Internet] [Doctoral dissertation]. University of Edinburgh; 2016. [cited 2019 Dec 13].
Available from: http://hdl.handle.net/1842/20978.
Council of Science Editors:
Zhang Y. Scalable geometric Markov chain Monte Carlo. [Doctoral Dissertation]. University of Edinburgh; 2016. Available from: http://hdl.handle.net/1842/20978

University of Utah
12.
Perry, Daniel James.
Solving geometric constraint problems through Monte Carlo optimization.
Degree: MS;, Computing (School of);, 2008, University of Utah
URL: http://content.lib.utah.edu/cdm/singleitem/collection/etd2/id/248/rec/1045
► Geometric constraint problems appear in many situations, including CAD systems, robotics, and computational biology. The complexity of these problems inspires the search for efficient solutions.…
(more)
▼ Geometric constraint problems appear in many situations, including CAD systems, robotics, and computational biology. The complexity of these problems inspires the search for efficient solutions. We have developed a method to solve geometric constraint problems in the areas of geometric computation and robot path planning using configuration space subdivision. In this approach the configuration space, or parameter space, is subdivided and conservatively tested to find collision-free regions, which are then numerically searched for specific path solutions. This thesis presents a new more general approach to this last solution search step, using Monte Carlo optimization. In this new search approach, within a single subdivided area of configuration space, space is randomly sampled and then iteratively resampled based on importance weighting, until convergence to a solution with an acceptable error. We show that by using Monte Carlo optimization to extend configuration space subdivision we can solve higher dimensional problems more efficiently than configuration space subdivision by itself.
Subjects/Keywords: Computer graphics; Geometric programming; Monte Carlo method
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Export
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APA (6th Edition):
Perry, D. J. (2008). Solving geometric constraint problems through Monte Carlo optimization. (Masters Thesis). University of Utah. Retrieved from http://content.lib.utah.edu/cdm/singleitem/collection/etd2/id/248/rec/1045
Chicago Manual of Style (16th Edition):
Perry, Daniel James. “Solving geometric constraint problems through Monte Carlo optimization.” 2008. Masters Thesis, University of Utah. Accessed December 13, 2019.
http://content.lib.utah.edu/cdm/singleitem/collection/etd2/id/248/rec/1045.
MLA Handbook (7th Edition):
Perry, Daniel James. “Solving geometric constraint problems through Monte Carlo optimization.” 2008. Web. 13 Dec 2019.
Vancouver:
Perry DJ. Solving geometric constraint problems through Monte Carlo optimization. [Internet] [Masters thesis]. University of Utah; 2008. [cited 2019 Dec 13].
Available from: http://content.lib.utah.edu/cdm/singleitem/collection/etd2/id/248/rec/1045.
Council of Science Editors:
Perry DJ. Solving geometric constraint problems through Monte Carlo optimization. [Masters Thesis]. University of Utah; 2008. Available from: http://content.lib.utah.edu/cdm/singleitem/collection/etd2/id/248/rec/1045

University of Alberta
13.
Chen, Weifeng.
Motion Planning with Monte Carlo Random Walks.
Degree: MS, Department of Computing Science, 2015, University of Alberta
URL: https://era.library.ualberta.ca/files/cws859f722
► This thesis applies the Monte Carlo Random Walk method (MRW) to motion planning. We explore different global and local restart strategies to improve the performance.…
(more)
▼ This thesis applies the Monte Carlo Random Walk method
(MRW) to motion planning. We explore different global and local
restart strategies to improve the performance. Several new
algorithms based on the MRW approach, such as bidirectional Arvand
and optimizing planner Arvand*, are introduced and compared with
existing motion planning approaches in the Open Motion Planning
Library (OMPL). The results of the experiments show that the Arvand
planners are competitive against other motion planners on the
planning problems provided by OMPL.
Subjects/Keywords: Motion Planning; Random Walk; Monte Carlo method
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APA ·
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MLA ·
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Export
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APA (6th Edition):
Chen, W. (2015). Motion Planning with Monte Carlo Random Walks. (Masters Thesis). University of Alberta. Retrieved from https://era.library.ualberta.ca/files/cws859f722
Chicago Manual of Style (16th Edition):
Chen, Weifeng. “Motion Planning with Monte Carlo Random Walks.” 2015. Masters Thesis, University of Alberta. Accessed December 13, 2019.
https://era.library.ualberta.ca/files/cws859f722.
MLA Handbook (7th Edition):
Chen, Weifeng. “Motion Planning with Monte Carlo Random Walks.” 2015. Web. 13 Dec 2019.
Vancouver:
Chen W. Motion Planning with Monte Carlo Random Walks. [Internet] [Masters thesis]. University of Alberta; 2015. [cited 2019 Dec 13].
Available from: https://era.library.ualberta.ca/files/cws859f722.
Council of Science Editors:
Chen W. Motion Planning with Monte Carlo Random Walks. [Masters Thesis]. University of Alberta; 2015. Available from: https://era.library.ualberta.ca/files/cws859f722

Brunel University
14.
Wei, Peng.
Web and knowledge-based decision support system for measurement uncertainty evaluation.
Degree: 2009, Brunel University
URL: http://bura.brunel.ac.uk/handle/2438/10114
;
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.508814
► In metrology, measurement uncertainty is understood as a range in which the true value of the measurement is likely to fall in. The recent years…
(more)
▼ In metrology, measurement uncertainty is understood as a range in which the true value of the measurement is likely to fall in. The recent years have seen a rapid development in evaluation of measurement uncertainty. ISO Guide to the Expression of Uncertainty in Measurement (GUM 1995) is the primary guiding document for measurement uncertainty. More recently, the Supplement 1 to the "Guide to the expression of uncertainty in measurement" – Propagation of distributions using a Monte Carlo method (GUM SP1) was published in November 2008. A number of software tools for measurement uncertainty have been developed and made available based on these two documents. The current software tools are mainly desktop applications utilising numeric computation with limited mathematical model handling capacity. A novel and generic web-based application, web-based Knowledge-Based Decision Support System (KB-DSS), has been proposed and developed in this research for measurement uncertainty evaluation. A Model-View-Controller architecture pattern is used for the proposed system. Under this general architecture, a web-based KB-DSS is developed based on an integration of the Expert System and Decision Support System approach. In the proposed uncertainty evaluation system, three knowledge bases as sub-systems are developed to implement the evaluation for measurement uncertainty. The first sub-system, the Measurement Modelling Knowledge Base (MMKB), assists the user in establishing the appropriate mathematical model for the measurand, a critical process for uncertainty evaluation. The second sub-system, GUM Framework Knowledge Base, carries out the uncertainty evaluation process based on the GUM Uncertainty Framework using symbolic computation, whilst the third sub-system, GUM SP1 MCM Framework Knowledge Base, conducts the uncertainty calculation according to the GUM SP1 Framework numerically based on Monte Carlo Method. The design and implementation of the proposed system and sub-systems are discussed in the thesis, supported by elaboration of the implementation steps and examples. Discussions and justifications on the technologies and approaches used for the sub-systems and their components are also presented. These include Drools, Oracle database, Java, JSP, Java Transfer Object, AJAX and Matlab. The proposed web-based KB-DSS has been evaluated through case studies and the performance of the system has been validated by the example results. As an established methodology and practical tool, the research will make valuable contributions to the field of measurement uncertainty evaluation.
Subjects/Keywords: 502.85; Monte Carlo method : Gum : Expert system
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APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
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APA (6th Edition):
Wei, P. (2009). Web and knowledge-based decision support system for measurement uncertainty evaluation. (Doctoral Dissertation). Brunel University. Retrieved from http://bura.brunel.ac.uk/handle/2438/10114 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.508814
Chicago Manual of Style (16th Edition):
Wei, Peng. “Web and knowledge-based decision support system for measurement uncertainty evaluation.” 2009. Doctoral Dissertation, Brunel University. Accessed December 13, 2019.
http://bura.brunel.ac.uk/handle/2438/10114 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.508814.
MLA Handbook (7th Edition):
Wei, Peng. “Web and knowledge-based decision support system for measurement uncertainty evaluation.” 2009. Web. 13 Dec 2019.
Vancouver:
Wei P. Web and knowledge-based decision support system for measurement uncertainty evaluation. [Internet] [Doctoral dissertation]. Brunel University; 2009. [cited 2019 Dec 13].
Available from: http://bura.brunel.ac.uk/handle/2438/10114 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.508814.
Council of Science Editors:
Wei P. Web and knowledge-based decision support system for measurement uncertainty evaluation. [Doctoral Dissertation]. Brunel University; 2009. Available from: http://bura.brunel.ac.uk/handle/2438/10114 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.508814

Oregon State University
15.
Ek, Alan R.
A comparison of some estimators in forest sampling.
Degree: PhD, Forest Management, 1969, Oregon State University
URL: http://hdl.handle.net/1957/11041
► The objectives of this study were to ascertain the relative precision and accuracy of certain estimators on several forest populations and to determine if relative…
(more)
▼ The objectives of this study were to ascertain the relative precision and accuracy of certain estimators on several forest populations and to determine if relative performance could be predicted from knowledge of population characteristics. Performance was tested on three populations of trees drawn from stands in northern Ontario. The first population consisted of 479 spruce and fir trees drawn from an uneven aged second growth spruce-fir stand. The second consisted of 309 maple and birch trees from a mature hardwood stand. The third population was composed of 500 red pine drawn from a forty year old plantation. Measurement data obtained for each tree included breast height diameter and total height. For the spruce-fir and hardwood stands, measurements o height and crown area were also obtained from large scale aerial photography. Estimators for total volume, height and crown area were compared for the test populations. Independent or supplementary variables employed were diameter, height and crown area plus several transformations and combinations of these variables. Four sample sizes, n = 4, 12, 24, and 40 were employed for each of 25 dependent-independent variable combinations considered. Simple expansion, ratio, unbiased ratio, regression and unequal probability estimators and stratified sampling with the simple expansion estimator were compared using
Monte Carlo techniques. Relative performance was evaluated using estimates of sampling variances, biases and mean square errors obtained from repeated sampling of the test populations. Results indicated linear and parabolic regression and the Horvitz- Thompson pps estimator were usually among the best three estimators for the two largest sample sizes studied. For the smaller sample sizes, linear egression, the Horvitz- Thompson pps and ratio of means estimators were best. For the estimation of volume using diameter- squared as the supplementary variable, linear regression was the best approach. Parabolic regression using diameter and diameter- squared was equal precise for the larger sample sizes. Major factors affecting the relative performance of estimators were: 1) the form of the dependent-independent variable relationship (linear or curvilinear), 2) the correlation between these variables, 3) the position of the intercept of the population regression line, 4) the variance of the dependent variable given the independent variable and 5) sample size.
Advisors/Committee Members: Dilworth, J. R. (advisor).
Subjects/Keywords: Monte Carlo method
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APA ·
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MLA ·
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CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Ek, A. R. (1969). A comparison of some estimators in forest sampling. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/11041
Chicago Manual of Style (16th Edition):
Ek, Alan R. “A comparison of some estimators in forest sampling.” 1969. Doctoral Dissertation, Oregon State University. Accessed December 13, 2019.
http://hdl.handle.net/1957/11041.
MLA Handbook (7th Edition):
Ek, Alan R. “A comparison of some estimators in forest sampling.” 1969. Web. 13 Dec 2019.
Vancouver:
Ek AR. A comparison of some estimators in forest sampling. [Internet] [Doctoral dissertation]. Oregon State University; 1969. [cited 2019 Dec 13].
Available from: http://hdl.handle.net/1957/11041.
Council of Science Editors:
Ek AR. A comparison of some estimators in forest sampling. [Doctoral Dissertation]. Oregon State University; 1969. Available from: http://hdl.handle.net/1957/11041

University of Aberdeen
16.
Stephen, Alexander.
Enhancement of thermionic cooling using Monte Carlo simulation.
Degree: PhD, 2014, University of Aberdeen
URL: http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=210113
;
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.606453
► Advances in the field of semiconductor physics have allowed for rapid development of new, more powerful devices. The new fabrication techniques allow for reductions in…
(more)
▼ Advances in the field of semiconductor physics have allowed for rapid development of new, more powerful devices. The new fabrication techniques allow for reductions in device geometry, increasing the possible wafer packing density. The increased output power comes with the price of excessive heat generation, the removal of which proves problematic at such scales for conventional cooling systems. Consequently, there is a rising demand for new cooling systems, preferably those that do not add large amount of additional bulk to the system. One promising system is the thermoelectric (TE) cooler which is small enough to be integrated onto the device wafer. Unlike more traditional gas and liquid coolers, TE coolers do not require moving parts or external liquid reservoirs, relying only on the flow of electrons to transport heat energy away from the device. Although TE cooling provides a neat solution for the extraction of heat from micron scale devices, it can normally only produce small amounts of cooling of 1-2 Kelvin, limiting its application to low power devices. This research aimed to find ways to enhance the performance of the TE cooler using detailed simulation analysis. For this, a self consistent, semi-classical, ensemble Monte Carlo model was designed to investigate the operation of the TE cooler at a higher level than would be possible with experimental measurements alone. As part of its development, the model was validated on a variety of devices including a Gunn diode and two micro-cooler designs from the literature, one which had been previously simulated and another which had been experimentally analysed. When applied to the TE cooler of focus, novel operational data was obtained and signification improvements in cooling power were found with only minor alterations to the device structure and without need for an increase in volume.
Subjects/Keywords: 620; Thermoelectric cooling; Monte Carlo method
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APA ·
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MLA ·
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Export
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APA (6th Edition):
Stephen, A. (2014). Enhancement of thermionic cooling using Monte Carlo simulation. (Doctoral Dissertation). University of Aberdeen. Retrieved from http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=210113 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.606453
Chicago Manual of Style (16th Edition):
Stephen, Alexander. “Enhancement of thermionic cooling using Monte Carlo simulation.” 2014. Doctoral Dissertation, University of Aberdeen. Accessed December 13, 2019.
http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=210113 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.606453.
MLA Handbook (7th Edition):
Stephen, Alexander. “Enhancement of thermionic cooling using Monte Carlo simulation.” 2014. Web. 13 Dec 2019.
Vancouver:
Stephen A. Enhancement of thermionic cooling using Monte Carlo simulation. [Internet] [Doctoral dissertation]. University of Aberdeen; 2014. [cited 2019 Dec 13].
Available from: http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=210113 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.606453.
Council of Science Editors:
Stephen A. Enhancement of thermionic cooling using Monte Carlo simulation. [Doctoral Dissertation]. University of Aberdeen; 2014. Available from: http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=210113 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.606453

Oregon State University
17.
Thompson, Steven Kirk.
Adaptive sampling of spatial point processes.
Degree: PhD, Statistics, 1982, Oregon State University
URL: http://hdl.handle.net/1957/41721
► Adaptive sampling designs are those in which observations made during a survey may be taken into account when selecting the sites for further observations. Increases…
(more)
▼ Adaptive sampling designs are those in which
observations made during a survey may be taken into
account when selecting the sites for further observations.
Increases in survey precision may be achieved through
adaptive procedures. The most efficient designs
incorporate flexible sample size along with sequential
selection of sites. In surveys of animal or plant
populations, adaptive sampling techniques may take
advantage of spatial tendencies associated with flocking,
schooling, or patchiness.
The framework of "sampling processes" is introduced
to deal conveniently with sampling theory and methods for
spatial point processes. A sampling process is a
stochastic process that depends on the detectability
functions associated with the survey methods as well as
on the structure of the spatial point process under study.
A realization of a sampling process consists of the
number of points of the point process that an observer
actually detects from different locations in the space.
Sampling theory and methods for spatial point processes
thus become largely a matter of studying the structure
of sampling processes. Many survey techniques for
the assessmemt of plant and animal abundance may be
analyzed within this framework.
Practical adaptive sampling strategies pursued
in this thesis include both design-unbiased and modelunbiased
adaptive sampling strategies The design-unbiased
strategy has the advantage that, even if assumptions
about the population being surveyed are incorrect,
the estimate is still unbiased and we still have an
unbiased estimate of mean square error. The modelunbiased
strategy relies for its unbiasedness on
certain assumptions made about the population model.
The key assumptions required may in fact be realistic
in many spatial survey situations with properly located
sampling sites. The two classes of adaptive strategies
are applied in modified form to bird survey and shrimp
survey methods.
The design-unbiased adaptive strategies used on Alaska shrimp surveys are estimated to give increases
in precision of 24% and 30% over the comparable
nonadaptive procedures of the same expected sampling
effort. Higher gains of 37% and 98% are computed
to be theoretically attainable by refining the adaptive
procedures.
Advisors/Committee Members: Ramsey, Fred L. (advisor), Pierce, Don (committee member).
Subjects/Keywords: Monte Carlo method
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Thompson, S. K. (1982). Adaptive sampling of spatial point processes. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/41721
Chicago Manual of Style (16th Edition):
Thompson, Steven Kirk. “Adaptive sampling of spatial point processes.” 1982. Doctoral Dissertation, Oregon State University. Accessed December 13, 2019.
http://hdl.handle.net/1957/41721.
MLA Handbook (7th Edition):
Thompson, Steven Kirk. “Adaptive sampling of spatial point processes.” 1982. Web. 13 Dec 2019.
Vancouver:
Thompson SK. Adaptive sampling of spatial point processes. [Internet] [Doctoral dissertation]. Oregon State University; 1982. [cited 2019 Dec 13].
Available from: http://hdl.handle.net/1957/41721.
Council of Science Editors:
Thompson SK. Adaptive sampling of spatial point processes. [Doctoral Dissertation]. Oregon State University; 1982. Available from: http://hdl.handle.net/1957/41721

Oregon State University
18.
Wang, Haiou.
Logic sampling, likelihood weighting and AIS-BN : an exploration of importance sampling.
Degree: MS, Computer Science, 2001, Oregon State University
URL: http://hdl.handle.net/1957/28769
► Logic Sampling, Likelihood Weighting and AIS-BN are three variants of stochastic sampling, one class of approximate inference for Bayesian networks. We summarize the ideas underlying…
(more)
▼ Logic Sampling, Likelihood Weighting and AIS-BN are three variants of
stochastic sampling, one class of approximate inference for Bayesian networks.
We summarize the ideas underlying each algorithm and the relationship among
them. The results from a set of empirical experiments comparing Logic Sampling,
Likelihood Weighting and AIS-BN are presented. We also test the impact
of each of the proposed heuristics and learning
method separately and in combination
in order to give a deeper look into AIS-BN, and see how the heuristics
and learning
method contribute to the power of the algorithm.
Key words: belief network, probability inference, Logic Sampling, Likelihood
Weighting, Importance Sampling, Adaptive Importance Sampling Algorithm for
Evidential Reasoning in Large Bayesian Networks(AIS-BN), Mean Percentage
Error (MPE), Mean Square Error (MSE), Convergence Rate, heuristic, learning
method.
Advisors/Committee Members: D'Ambrosio, Bruce D. (advisor).
Subjects/Keywords: Monte Carlo method
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Wang, H. (2001). Logic sampling, likelihood weighting and AIS-BN : an exploration of importance sampling. (Masters Thesis). Oregon State University. Retrieved from http://hdl.handle.net/1957/28769
Chicago Manual of Style (16th Edition):
Wang, Haiou. “Logic sampling, likelihood weighting and AIS-BN : an exploration of importance sampling.” 2001. Masters Thesis, Oregon State University. Accessed December 13, 2019.
http://hdl.handle.net/1957/28769.
MLA Handbook (7th Edition):
Wang, Haiou. “Logic sampling, likelihood weighting and AIS-BN : an exploration of importance sampling.” 2001. Web. 13 Dec 2019.
Vancouver:
Wang H. Logic sampling, likelihood weighting and AIS-BN : an exploration of importance sampling. [Internet] [Masters thesis]. Oregon State University; 2001. [cited 2019 Dec 13].
Available from: http://hdl.handle.net/1957/28769.
Council of Science Editors:
Wang H. Logic sampling, likelihood weighting and AIS-BN : an exploration of importance sampling. [Masters Thesis]. Oregon State University; 2001. Available from: http://hdl.handle.net/1957/28769

Oregon State University
19.
Miles, Todd L.
Monte Carlo uncertainty reliability and isotope production calculations for a fast reactor.
Degree: MS, Nuclear Engineering, 1991, Oregon State University
URL: http://hdl.handle.net/1957/36711
► With the advent of more powerful, less expensive computing resources, more and more attention is being given to Monte Carlo techniques in design application. In…
(more)
▼ With the advent of more powerful, less expensive computing
resources, more and more attention is being given to
Monte Carlo
techniques in design application. In many circles, stochastic
solutions are considered the next best thing to experimental data.
Statistical uncertainties in
Monte Carlo calculations are typically
determined by the first and second moments of the tally. For certain
types of calculations, there is concern that the uncertainty estimate
is significantly non-conservative. This is typically seen in reactor
eigenvalue problems where the uncertainty estimate is aggravated by
the generation-to-generation fission source. It has been speculated
that optimization of the random walk, through biasing techniques, may
increase the non-conservative nature of the uncertainty estimate. A
series of calculations are documented here which quantify the
reliability of the
Monte Carlo Neutron and Photon (MCNP) mean and
uncertainty estimates by comparing these estimates to the true mean.
These calculations were made with a liquid metal fast reactor model,
but every effort was made to isolate the statistical nature of the
uncertainty estimates so that the analysis of the reliability of the
MCNP estimates should be relevant for small thermal reactors as well.
Also, preliminary reactor physics calculations for two different
special isotope production test assemblies for irradiation in the Fast
Flux Test Facility (FFTF) were performed using MCNP and are documented
here. The effect of an yttrium-hydride moderator to tailor the
neutron flux incident on the targets to maximize isotope production
for different designs in different locations within the reactor is
discussed. These calculations also demonstrate the useful application
of MCNP in design iterations by utilizing many of the codes features.
Advisors/Committee Members: Binney, Stephen E. (advisor).
Subjects/Keywords: Monte Carlo method
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Miles, T. L. (1991). Monte Carlo uncertainty reliability and isotope production calculations for a fast reactor. (Masters Thesis). Oregon State University. Retrieved from http://hdl.handle.net/1957/36711
Chicago Manual of Style (16th Edition):
Miles, Todd L. “Monte Carlo uncertainty reliability and isotope production calculations for a fast reactor.” 1991. Masters Thesis, Oregon State University. Accessed December 13, 2019.
http://hdl.handle.net/1957/36711.
MLA Handbook (7th Edition):
Miles, Todd L. “Monte Carlo uncertainty reliability and isotope production calculations for a fast reactor.” 1991. Web. 13 Dec 2019.
Vancouver:
Miles TL. Monte Carlo uncertainty reliability and isotope production calculations for a fast reactor. [Internet] [Masters thesis]. Oregon State University; 1991. [cited 2019 Dec 13].
Available from: http://hdl.handle.net/1957/36711.
Council of Science Editors:
Miles TL. Monte Carlo uncertainty reliability and isotope production calculations for a fast reactor. [Masters Thesis]. Oregon State University; 1991. Available from: http://hdl.handle.net/1957/36711

Laurentian University
20.
Almowanes, Abdullah.
Generating random shapes for Monte Carlo accuracy testing of pairwise comparisons
.
Degree: 2013, Laurentian University
URL: https://zone.biblio.laurentian.ca/dspace/handle/10219/2097
► This thesis shows highly encouraging results as the gain of accuracy reached 18.4% when the pairwise comparisons method was used instead of the direct method…
(more)
▼ This thesis shows highly encouraging results as the gain of accuracy reached 18.4%
when the pairwise comparisons method was used instead of the direct method for comparing
random shapes. The thesis describes a heuristic for generating random but nice
shapes, called placated shapes. Random, but visually nice shapes, are often needed
for cognitive experiments and processes. These shapes are produced by applying the
Gaussian blur to randomly generated polygons. Afterwards, the threshold is set to
transform pixels to black and white from di erent shades of gray. This transformation
produces placated shapes for easier estimation of areas. Randomly generated
placated shapes are used to perform the Monte Carlo method to test the accuracy of
cognitive processes by using pairwise comparisons. An on-line questionnaire has been
implemented and participants were asked to estimate the areas of ve shapes using a
provided unit of measure. They were also asked to compare the shapes in pairs. Such
Monte Carlo experiment has never been conducted for 2D case. The received results
are of considerable importance.
Subjects/Keywords: placated shapes;
Monte Carlo method;
pairwise comparisons
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Almowanes, A. (2013). Generating random shapes for Monte Carlo accuracy testing of pairwise comparisons
. (Thesis). Laurentian University. Retrieved from https://zone.biblio.laurentian.ca/dspace/handle/10219/2097
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Almowanes, Abdullah. “Generating random shapes for Monte Carlo accuracy testing of pairwise comparisons
.” 2013. Thesis, Laurentian University. Accessed December 13, 2019.
https://zone.biblio.laurentian.ca/dspace/handle/10219/2097.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Almowanes, Abdullah. “Generating random shapes for Monte Carlo accuracy testing of pairwise comparisons
.” 2013. Web. 13 Dec 2019.
Vancouver:
Almowanes A. Generating random shapes for Monte Carlo accuracy testing of pairwise comparisons
. [Internet] [Thesis]. Laurentian University; 2013. [cited 2019 Dec 13].
Available from: https://zone.biblio.laurentian.ca/dspace/handle/10219/2097.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Almowanes A. Generating random shapes for Monte Carlo accuracy testing of pairwise comparisons
. [Thesis]. Laurentian University; 2013. Available from: https://zone.biblio.laurentian.ca/dspace/handle/10219/2097
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Baylor University
21.
Joseph, Samuel J.
Monte Carlo simulations using infrared improved DGLAP-CS theory.
Degree: Physics., 2009, Baylor University
URL: http://hdl.handle.net/2104/5382
► A large number of Z and W bosons will be produced at the LHC. A careful study of their properties in the presence of QCD…
(more)
▼ A large number of Z and W bosons will be produced at the LHC. A careful study of their properties in the presence of QCD background processes, will be important in studying the Standard Model more rigorously and to uncover new physics which may appear through radiative corrections or through new tree level processes with suppressed couplings. In order to reach the 1% attendant theoretical precision tag on processes such as single Z and W production, more precise
Monte Carlos need to be developed. As a step towards this goal a new set of infrared (ir) improved DGLAP-CS kernels was developed by Ward. For this work we implemented these infrared improved kernels in HERWIG6.5 to create a new program HERWIRI1.0. We discuss the phenomological implications of our new
Monte Carlo HERWIRI1.0. Specifically we compared pp → 2-jets + X and pp → Z/γ* + X → ℓ⁺ℓ⁻ + X´, with ℓ=e,μ, results obtained by HERWIG6.5 and HERWIRI1.0. The three main quantities that we compared were the pt, energy fraction and rapidity distributions. We made these comparisons at √s=14 TeV, the highest LHC energies. Comparisons were also made for π⁺ production in pp → 2-jets + X at this energy. As expected, the IR-improved spectra were generally softer. As a test of HERWIRI1.0 a comparison of the pt and rapidity distribution data from FNAL at √s=1 96 TeV for the process pp̅ → Z/γ* → e⁺e⁻ + X
was made. We found that the softer part of these observed spectra were better described by HERWIRI1.0. This represents a new chapter in precision
Monte Carlo simulations for hadron-hadron high energy collisions because
the IR-improved kernels do not require an explicit cut-off.
Advisors/Committee Members: Ward, Bennie Franklin Leon (advisor).
Subjects/Keywords: Monte Carlo method.;
Hadron interactions.;
Infrared spectra.
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Joseph, S. J. (2009). Monte Carlo simulations using infrared improved DGLAP-CS theory.
(Thesis). Baylor University. Retrieved from http://hdl.handle.net/2104/5382
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Joseph, Samuel J. “Monte Carlo simulations using infrared improved DGLAP-CS theory.
” 2009. Thesis, Baylor University. Accessed December 13, 2019.
http://hdl.handle.net/2104/5382.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Joseph, Samuel J. “Monte Carlo simulations using infrared improved DGLAP-CS theory.
” 2009. Web. 13 Dec 2019.
Vancouver:
Joseph SJ. Monte Carlo simulations using infrared improved DGLAP-CS theory.
[Internet] [Thesis]. Baylor University; 2009. [cited 2019 Dec 13].
Available from: http://hdl.handle.net/2104/5382.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Joseph SJ. Monte Carlo simulations using infrared improved DGLAP-CS theory.
[Thesis]. Baylor University; 2009. Available from: http://hdl.handle.net/2104/5382
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Cornell University
22.
Petruzielo, Frank.
Quantum Monte Carlo Developments For Discrete And Continuous Spaces
.
Degree: 2012, Cornell University
URL: http://hdl.handle.net/1813/31420
► This thesis details four research projects related to zero temperature quantum Monte Carlo. Chapters 2-4 focus on continuum quantum Monte Carlo, and specifically its application…
(more)
▼ This thesis details four research projects related to zero temperature quantum
Monte Carlo. Chapters 2-4 focus on continuum quantum
Monte Carlo, and specifically its application to molecular systems; whereas Chapter 5 focuses on quantum
Monte Carlo in a discrete space. Chapter 2 focuses on improving upon the single-particle basis functions employed in quantum
Monte Carlo calculations for molecular systems. For calculations requiring non-diverging pseudopotentials, a class of functions is introduced that is capable of producing the short- and long-range asymptotic behavior of the exact wavefunction. It is demonstrated that this form of basis function produces superior accuracy and efficiency when compared to the basis sets typically employed in quantum
Monte Carlo. Although the basis functions introduced in Chapter 2 are capable of producing superior results, it is necessary that the parameters of the functional form are near-optimal for the full potential of the functions to be realized. Chapter 3 introduces a simple yet general
method for constructing basis sets of a desired functional form appropriate for molecular electronic structure calculations. A standard basis set is created for each of the elements from hydrogen to argon. Chapter 4 explores the effect of different aspects of the trial wavefunction on the accuracy of quantum
Monte Carlo. By systematically testing the effect of the basis size, orbital quality, and determinant expansion quality, this work offers guidance to quantum
Monte Carlo practitioners for achieving results to within chemical accuracy of experiment. In Chapter 5, semistochastic projection, a hybrid of deterministic and stochastic projection, is introduced for finding the dominant eigenvalue and eigenvector of a matrix. This
method, like stochastic projection, is applicable to matrices well beyond the size that can be handled by deterministic methods. Semistochastic projection improves over stochastic projection by significantly reducing the computational time required to obtain the eigenvalue within a specified statistical uncertainty. After the semistochastic projection
method is introduced, it is applied to determine the ground state energy of the Hamiltonian in a discrete basis. This special case of semistochastic projection, dubbed semistochastic quantum
Monte Carlo, is shown to be orders of magnitude more efficient than stochastic quantum
Monte Carlo.
Advisors/Committee Members: Arias, Tomas A. (committeeMember), McEuen, Paul L. (committeeMember), Chan, Garnet (committeeMember).
Subjects/Keywords: Quantum Monte Carlo;
qmc;
Power Method
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Petruzielo, F. (2012). Quantum Monte Carlo Developments For Discrete And Continuous Spaces
. (Thesis). Cornell University. Retrieved from http://hdl.handle.net/1813/31420
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Petruzielo, Frank. “Quantum Monte Carlo Developments For Discrete And Continuous Spaces
.” 2012. Thesis, Cornell University. Accessed December 13, 2019.
http://hdl.handle.net/1813/31420.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Petruzielo, Frank. “Quantum Monte Carlo Developments For Discrete And Continuous Spaces
.” 2012. Web. 13 Dec 2019.
Vancouver:
Petruzielo F. Quantum Monte Carlo Developments For Discrete And Continuous Spaces
. [Internet] [Thesis]. Cornell University; 2012. [cited 2019 Dec 13].
Available from: http://hdl.handle.net/1813/31420.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Petruzielo F. Quantum Monte Carlo Developments For Discrete And Continuous Spaces
. [Thesis]. Cornell University; 2012. Available from: http://hdl.handle.net/1813/31420
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Montana State University
23.
Lerch, Michael David.
Statistics in the presence of cost : cost-considerate variable selection and MCMC convergence diagnostics.
Degree: College of Letters & Science, 2016, Montana State University
URL: https://scholarworks.montana.edu/xmlui/handle/1/12371
► The overarching objective of this research is to address and recognize the cost-benefit trade-off inherent in much of statistics. We identify two places where such…
(more)
▼ The overarching objective of this research is to address and recognize the cost-benefit trade-off inherent in much of statistics. We identify two places where such a balance is present for researchers: variable selection and Markov chain
Monte Carlo (MCMC) sampling. An easily identifiable source of cost in science occurs when taking measurements. Researchers measure variables to estimate another quantity based on a model. When model building, researchers may have access to a large number of variables to include in the model and may consider using a subset of the variables so that future uses of the model need only measure this subset rather than all variables. The researchers are incentivized to proceed in this manner if some variables are prohibitively expensive to measure for future uses of the model. In this research, we present a new algorithm for cost-considerate variable selection in linear modeling when confronted with this problem. Since overfitting may be a danger when many variables at the disposal of the researcher, we build on the LARS and Lasso algorithms to perform cost-based variable selection in concert with model regularization. In MCMC sampling for Bayesian statistics, the cost-benefit trade-off is unavoidable. Researchers sampling from a posterior distribution must run a sampler for some number of iterations before finally stopping the sampler to make inference on the finite number of samples drawn. In this situation, the cost to be reduced is time to run the sampler while realizing the longer the sampler is run, the better the convergence. Time may not be as tangible a cost as a dollar figure, but increased wait time to perform analyses incurs the cost of running a computer and any negative effects associated with a delay as the researcher waits until the sampler has finished running. In this research, we introduce new convergence assessment tools in a diagnostic and plot. Unlike commonly used convergence diagnostics, these new tools focus explicitly on posterior quantiles and probabilities which are common inferential objectives in Bayesian statistics. Additionally, we introduce equivalence testing to the convergence assessment domain by using it as the framework of the diagnostic.
Advisors/Committee Members: Chairperson, Graduate Committee: Steve Cherry (advisor).
Subjects/Keywords: Statistics.; Cost.; Monte Carlo method.; Mathematical models.
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Lerch, M. D. (2016). Statistics in the presence of cost : cost-considerate variable selection and MCMC convergence diagnostics. (Thesis). Montana State University. Retrieved from https://scholarworks.montana.edu/xmlui/handle/1/12371
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Lerch, Michael David. “Statistics in the presence of cost : cost-considerate variable selection and MCMC convergence diagnostics.” 2016. Thesis, Montana State University. Accessed December 13, 2019.
https://scholarworks.montana.edu/xmlui/handle/1/12371.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Lerch, Michael David. “Statistics in the presence of cost : cost-considerate variable selection and MCMC convergence diagnostics.” 2016. Web. 13 Dec 2019.
Vancouver:
Lerch MD. Statistics in the presence of cost : cost-considerate variable selection and MCMC convergence diagnostics. [Internet] [Thesis]. Montana State University; 2016. [cited 2019 Dec 13].
Available from: https://scholarworks.montana.edu/xmlui/handle/1/12371.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Lerch MD. Statistics in the presence of cost : cost-considerate variable selection and MCMC convergence diagnostics. [Thesis]. Montana State University; 2016. Available from: https://scholarworks.montana.edu/xmlui/handle/1/12371
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Oregon State University
24.
Eccleston, Bradley R.
An inherently parallel Monte Carlo linear systems solver applied to neutron diffusion equations.
Degree: MS, Nuclear Engineering, 2000, Oregon State University
URL: http://hdl.handle.net/1957/33068
► Linear solvers are often used to solve neutron diffusion problems. These tools have two significant shortcomings. First, parallel implementations provide only a modest speedup. The…
(more)
▼ Linear solvers are often used to solve neutron diffusion problems. These tools have
two significant shortcomings. First, parallel implementations provide only a modest
speedup. The operations cannot be divided cleanly between processors. Second, for
large matrices they can be very slow. Our primary goal is to find a new
method for
solving linear systems which reduces the impact of these two problems.
In this study, we consider a different kind of approach. We employ a
Monte Carlo
algorithm in two dimensions to solve our linear systems probabilistic ally. We develop
our probabilistic model and describe the formulation of our linear system. We also
discuss our random sampling technique in some detail. We tally our solutions for
both the forward and adjoint problems using path length and last event estimators.
Computational results are compared to analytic and numerical benchmark solutions
for three metrics: accuracy, convergence, and efficiency. The results detailed
herein indicate that the
method we have developed can be competitive with common
linear solvers.
We develop an on-the-fly algorithm as well, which is intended to make more efficient
use of our computing resources. While this algorithm exhibits longer run-times,
it is far less taxing on the system memory.
Advisors/Committee Members: Palmer, Todd S. (advisor), Reyes, Jose (committee member).
Subjects/Keywords: Monte Carlo method
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Eccleston, B. R. (2000). An inherently parallel Monte Carlo linear systems solver applied to neutron diffusion equations. (Masters Thesis). Oregon State University. Retrieved from http://hdl.handle.net/1957/33068
Chicago Manual of Style (16th Edition):
Eccleston, Bradley R. “An inherently parallel Monte Carlo linear systems solver applied to neutron diffusion equations.” 2000. Masters Thesis, Oregon State University. Accessed December 13, 2019.
http://hdl.handle.net/1957/33068.
MLA Handbook (7th Edition):
Eccleston, Bradley R. “An inherently parallel Monte Carlo linear systems solver applied to neutron diffusion equations.” 2000. Web. 13 Dec 2019.
Vancouver:
Eccleston BR. An inherently parallel Monte Carlo linear systems solver applied to neutron diffusion equations. [Internet] [Masters thesis]. Oregon State University; 2000. [cited 2019 Dec 13].
Available from: http://hdl.handle.net/1957/33068.
Council of Science Editors:
Eccleston BR. An inherently parallel Monte Carlo linear systems solver applied to neutron diffusion equations. [Masters Thesis]. Oregon State University; 2000. Available from: http://hdl.handle.net/1957/33068

Oregon State University
25.
Pennathur, Shankar S.
Monte Carlo device modeling applications on parallel computers.
Degree: PhD, Electrical and Computer Engineering, 1995, Oregon State University
URL: http://hdl.handle.net/1957/34627
► One of the ways of countering the ever increasing computational requirements in the simulation and modeling of electrical and electromagnetic devices and phenomena, is the…
(more)
▼ One of the ways of countering the ever increasing computational requirements
in the simulation and modeling of electrical and electromagnetic devices and phenomena,
is the development of simulation and modeling tools on parallel computing
platforms. In this thesis, a previously developed
Monte Carlo parallel device simulator
is utilized, enhanced, and evolved, to render it applicable to the modeling and
simulation of certain key applications. A three-dimensional
Monte Carlo simulation
of GaAs MESFETs is first presented to study small-geometry effects. Then, a finite-difference
time-domain numerical solution of Maxwell's equations is developed and
coupled to
Monte Carlo particle simulation, to illustrate a photoconductive switching
experiment.
As the third and major application of the
Monte Carlo code, high-field electron
transport simulations of the ZnS phosphor of AC thin film electroluminescent
devices are presented. A full band structure (of ZnS) computed using a nonlocal
empirical pseudopotential technique is included in the
Monte Carlo simulation. The
band structure is computed using a set of form factors, that were tuned to fit experimentally
measured critical point transitions in ZnS. The
Monte Carlo algorithms
pertaining to the full band model are developed. Most of the scattering mechanisms,
pertinent to ZnS are included to model the electron kinetics. The hot electron distributions
are computed as a function of the electric field in the ZnS phosphor layer,
to estimate the percentage of hot electrons that could potentially contribute to excitation
of luminescent impurity centers in the ZnS phosphor layer. Impact excitation,
a key process in electroluminescence, is included in the
Monte Carlo simulation to estimate the quantum yield of the devices. Preliminary results based on the full band k-space model exhibit experimentally observed trends.
Advisors/Committee Members: Goodnick, Stephen M. (advisor), Koc, Cetin (committee member).
Subjects/Keywords: Monte Carlo method
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Pennathur, S. S. (1995). Monte Carlo device modeling applications on parallel computers. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/34627
Chicago Manual of Style (16th Edition):
Pennathur, Shankar S. “Monte Carlo device modeling applications on parallel computers.” 1995. Doctoral Dissertation, Oregon State University. Accessed December 13, 2019.
http://hdl.handle.net/1957/34627.
MLA Handbook (7th Edition):
Pennathur, Shankar S. “Monte Carlo device modeling applications on parallel computers.” 1995. Web. 13 Dec 2019.
Vancouver:
Pennathur SS. Monte Carlo device modeling applications on parallel computers. [Internet] [Doctoral dissertation]. Oregon State University; 1995. [cited 2019 Dec 13].
Available from: http://hdl.handle.net/1957/34627.
Council of Science Editors:
Pennathur SS. Monte Carlo device modeling applications on parallel computers. [Doctoral Dissertation]. Oregon State University; 1995. Available from: http://hdl.handle.net/1957/34627

Oregon State University
26.
Huster, Carl R.
A parallel/vector Monte Carlo MESFET model for shared memory machines.
Degree: MS, Electrical and Computer Engineering, 1992, Oregon State University
URL: http://hdl.handle.net/1957/37306
► The parallelization and vectorization of Monte Carlo algorithms for modelling charge transport in semiconductor devices are considered. The standard ensemble Monte Carlo simulation of a…
(more)
▼ The parallelization and vectorization of
Monte Carlo algorithms for modelling
charge transport in semiconductor devices are considered. The standard ensemble
Monte Carlo simulation of a three parabolic band model for GaAs is first
presented as partial verification of the simulation. The model includes scattering
due to acoustic, polar-optical and intervalley phonons. This ensemble simulation
is extended to a full device simulation by the addition of real-space positions, and
solution for the electrostatic potential from the charge density distribution using
Poisson's equation. Poisson's equation was solved using the cloud-in-cell scheme
for charge assignment, finite differences for spatial discretization, and simultaneous
over-relaxation for solution. The particle movement (acceleration and scattering)
and the solution of Poisson's are both separately parallelized. The parallelization
techniques used in both parts are based on the use of semaphores for the protection
of shared resources and processor synchronization. The speed increase results for
parallelization with and without vectorization on the Ardent Titan II are presented.
The results show saturation due to memory access limitations at a speed increase of
approximately 3.3 times the serial case when four processors are used. Vectorization
alone provides a speed increase of approximately 1.6 times when compared with the
nonvectorized serial case. It is concluded that the speed increase achieved with
the Titan II is limited by memory access considerations and that this limitation is
likely to plague shared memory machines for the forseeable future. For the program
presented here, vectorization is concluded to provide a better speed increase
per day of development time than parallelization. However, when vectorization is
used in conjunction with parallelization, the speed increase due to vectorization is
negligible.
Advisors/Committee Members: Goodnick, Stephen M. (advisor).
Subjects/Keywords: Monte Carlo method
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Huster, C. R. (1992). A parallel/vector Monte Carlo MESFET model for shared memory machines. (Masters Thesis). Oregon State University. Retrieved from http://hdl.handle.net/1957/37306
Chicago Manual of Style (16th Edition):
Huster, Carl R. “A parallel/vector Monte Carlo MESFET model for shared memory machines.” 1992. Masters Thesis, Oregon State University. Accessed December 13, 2019.
http://hdl.handle.net/1957/37306.
MLA Handbook (7th Edition):
Huster, Carl R. “A parallel/vector Monte Carlo MESFET model for shared memory machines.” 1992. Web. 13 Dec 2019.
Vancouver:
Huster CR. A parallel/vector Monte Carlo MESFET model for shared memory machines. [Internet] [Masters thesis]. Oregon State University; 1992. [cited 2019 Dec 13].
Available from: http://hdl.handle.net/1957/37306.
Council of Science Editors:
Huster CR. A parallel/vector Monte Carlo MESFET model for shared memory machines. [Masters Thesis]. Oregon State University; 1992. Available from: http://hdl.handle.net/1957/37306

Oregon State University
27.
Shepard, Lonnie B.
Monte Carlo evaluation of empirical approximation of mixing distributions.
Degree: PhD, Statistics, 1973, Oregon State University
URL: http://hdl.handle.net/1957/44572
Subjects/Keywords: Monte Carlo method
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Shepard, L. B. (1973). Monte Carlo evaluation of empirical approximation of mixing distributions. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/44572
Chicago Manual of Style (16th Edition):
Shepard, Lonnie B. “Monte Carlo evaluation of empirical approximation of mixing distributions.” 1973. Doctoral Dissertation, Oregon State University. Accessed December 13, 2019.
http://hdl.handle.net/1957/44572.
MLA Handbook (7th Edition):
Shepard, Lonnie B. “Monte Carlo evaluation of empirical approximation of mixing distributions.” 1973. Web. 13 Dec 2019.
Vancouver:
Shepard LB. Monte Carlo evaluation of empirical approximation of mixing distributions. [Internet] [Doctoral dissertation]. Oregon State University; 1973. [cited 2019 Dec 13].
Available from: http://hdl.handle.net/1957/44572.
Council of Science Editors:
Shepard LB. Monte Carlo evaluation of empirical approximation of mixing distributions. [Doctoral Dissertation]. Oregon State University; 1973. Available from: http://hdl.handle.net/1957/44572

University of Oxford
28.
Bester, Dirk W.
Joint survival models : a Bayesian investigation of longitudinal volatility.
Degree: PhD, 2014, University of Oxford
URL: http://ora.ox.ac.uk/objects/uuid:35db576b-10a7-4e49-a04d-dee99544227d
;
https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.711721
► In this thesis, we investigate joint models of longitudinal and time-to-event data. We extend the current literature by developing a model that assigns subject-specific variance…
(more)
▼ In this thesis, we investigate joint models of longitudinal and time-to-event data. We extend the current literature by developing a model that assigns subject-specific variance to the longitudinal process and links this variance to the survival outcome. During development we provide the theoretical definition of the model and its properties, and explore the practical implications for estimating the parameters. We use Markov Chain Monte Carlo (MCMC) methods, and compare the different samplers used in similar models in the literature with our custom MCMC algorithm, written in C++. We use the Deviance Information Criterion to perform model comparisons, and we formalise suggestions from the literature to use posterior predictive model checking to construct a goodness-of-fit test for our model. We use the model on two real-world datasets to investigate claims relating to the importance of blood pressure volatility on stroke risk, and examine the consequences of ignoring measurement error. We amend our model to accommodate competing risk, time-dependent baseline hazard rates, and bivariate longitudinal processes - at which point we update our MCMC samplers and identify the issues. Finally, we use our code in a separate, but related, collaboration with other researchers to analyse repeated counts data.
Subjects/Keywords: 519.2; Survival – Longitudinal studies; Monte Carlo method
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Bester, D. W. (2014). Joint survival models : a Bayesian investigation of longitudinal volatility. (Doctoral Dissertation). University of Oxford. Retrieved from http://ora.ox.ac.uk/objects/uuid:35db576b-10a7-4e49-a04d-dee99544227d ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.711721
Chicago Manual of Style (16th Edition):
Bester, Dirk W. “Joint survival models : a Bayesian investigation of longitudinal volatility.” 2014. Doctoral Dissertation, University of Oxford. Accessed December 13, 2019.
http://ora.ox.ac.uk/objects/uuid:35db576b-10a7-4e49-a04d-dee99544227d ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.711721.
MLA Handbook (7th Edition):
Bester, Dirk W. “Joint survival models : a Bayesian investigation of longitudinal volatility.” 2014. Web. 13 Dec 2019.
Vancouver:
Bester DW. Joint survival models : a Bayesian investigation of longitudinal volatility. [Internet] [Doctoral dissertation]. University of Oxford; 2014. [cited 2019 Dec 13].
Available from: http://ora.ox.ac.uk/objects/uuid:35db576b-10a7-4e49-a04d-dee99544227d ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.711721.
Council of Science Editors:
Bester DW. Joint survival models : a Bayesian investigation of longitudinal volatility. [Doctoral Dissertation]. University of Oxford; 2014. Available from: http://ora.ox.ac.uk/objects/uuid:35db576b-10a7-4e49-a04d-dee99544227d ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.711721

Uppsala University
29.
Eriksson, Andreas.
Efficient Modelling and Performance Analysis of Wideband Communication Receivers.
Degree: Signals and Systems Group, 2011, Uppsala University
URL: http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-148400
► This thesis deals with Symbol Error Rate (SER)-simulation of wireless communications and its application into throughput analysis of UltraWideband (UWB) systems. The SERs will…
(more)
▼ This thesis deals with Symbol Error Rate (SER)-simulation of wireless communications and its application into throughput analysis of UltraWideband (UWB) systems. The SERs will be simulated in C++ using the Monte Carlo method and when some are calculated, the rest will be estimated using a novel extrapolation method. These SER values will be very accurate and in this thesis go as low as 1.0e-14. Reaching that low values would otherwise be impossible using the traditional Monte Carlo method, because of very large computation time. However, the novel extrapolation method, can simulate a SER-curve in less than 30 seconds. It is assumed that the noise belongs to the Generalized Gaussian distribution family and among them noise from the Normal distribution (Gaussian noise) gives the best result. It is to be noted that Gaussian noise is the most commonly used in digital communication simulations. Although the program is used for throughput analysis of UWB, the program could easily be adapted to various signals. In this thesis, throughput analysis means a plot with symbol rate vs distance. From any given symbols, the user can, with a desired minimum SER, generate an extrapolated SER-curve and see what symbol rate can be achieved by the system, while obeying power constraints of signals imposed by international laws. The developed program is, by comparing with published theoretical results, tested for QAM and PSK cases, but can easily be extended to UWB systems.
Subjects/Keywords: performance analysis; ultra wideband; monte carlo method
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Eriksson, A. (2011). Efficient Modelling and Performance Analysis of Wideband Communication Receivers. (Thesis). Uppsala University. Retrieved from http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-148400
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Eriksson, Andreas. “Efficient Modelling and Performance Analysis of Wideband Communication Receivers.” 2011. Thesis, Uppsala University. Accessed December 13, 2019.
http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-148400.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Eriksson, Andreas. “Efficient Modelling and Performance Analysis of Wideband Communication Receivers.” 2011. Web. 13 Dec 2019.
Vancouver:
Eriksson A. Efficient Modelling and Performance Analysis of Wideband Communication Receivers. [Internet] [Thesis]. Uppsala University; 2011. [cited 2019 Dec 13].
Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-148400.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Eriksson A. Efficient Modelling and Performance Analysis of Wideband Communication Receivers. [Thesis]. Uppsala University; 2011. Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-148400
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

McGill University
30.
Lefebvre, Geneviève, 1978-.
Practical issues in modern Monte Carlo integration.
Degree: PhD, Department of Mathematics and Statistics., 2007, McGill University
URL: http://digitool.library.mcgill.ca/thesisfile103209.pdf
► Computing marginal likelihoods to perform Bayesian model selection is a challenging task, particularly when the models considered involve a large number of parameters. In this…
(more)
▼ Computing marginal likelihoods to perform Bayesian model selection is a challenging task, particularly when the models considered involve a large number of parameters. In this thesis, we propose the use of an adaptive quadrature algorithm to automate the selection of the grid in path sampling, an integration technique recognized as one of the most powerful Monte Carlo integration statistical methods for marginal likelihood estimation. We begin by examining the impact of two tuning parameters of path sampling, the choice of the importance density and the specification of the grid, which are both shown to be potentially very influential. We then present, in detail, the Grid Selection by Adaptive Quadrature (GSAQ) algorithm for selecting the grid. We perform a comparison between the GSAQ and standard grid implementation of path sampling using two well-studied data sets; the GSAQ approach is found to yield superior results. GSAQ is then successfully applied to a longitudinal hierarchical regression model selection problem in Multiple Sclerosis research.
Using an identity arising in path sampling, we then derive general expressions for the Kullback-Leibler (KL) and Jeffrey (J) divergences between two distributions with common support but from possibly different parametric families. These expressions naturally stem from path sampling when the popular geometric path is used to link the extreme densities. Expressions for the KL and J-divergences are also given for any two intermediate densities lying on the path. Estimates for the KL divergence (up to a constant) and for the J-divergence, between a posterior distribution and a selected importance density, can be obtained directly, prior to path sampling implementation. The J-divergence is shown to be helpful for choosing importance densities that minimize the error of the path sampling estimates.
Finally we present the results of a simulation study devised to investigate whether improvement in performance can be achieved by using the KL and J-divergences to select sequences of distributions in parallel (population-based) simulations, such as in the Sequential Monte Carlo Sampling and the Annealed Importance Sampling algorithms. We compare these choices of sequences to more conventional choices in the context of a mixture example. Unexpected results are obtained, and those for the KL and J-divergences are mixed. More fundamentally, we uncover the need to select the sequence of tempered distributions in accordance with the resampling scheme.
Subjects/Keywords: Monte Carlo method.
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