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You searched for subject:(nonhomogeneous Poisson process). Showing records 1 – 3 of 3 total matches.

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NSYSU

1. Chen, Ching-wen. Fourth-Order Spatial Correlation-Coefficient Across the Uplink Receiverâs Spatial Aperture for Non-Collinear Antennas.

Degree: Master, Applied Mathematics, 2013, NSYSU

This paper derives the uplink received signalâs fourth-order spatial-correlation coefficient function across a receiving sensor-arrayâs aperture. This derivation is mathematically rigorous and is based on idealized geometric relationships among the mobile transmitter, the basestationâs receiving antennas, and the scatterers of the channel. The scatterersâ spatial locations are modeled as Poisson distributed, with a Gaussian intensity over a two-dimensional space. Sensors are assumed to locate on the four arbitrary locations. The final formula is in closed form, explicit in terms of the simple geometric modelâs few independent parameters. The results extend the collinear sensor case ofWang, Guo,Wong and Piterbarg (2012). Advisors/Committee Members: Shih-Feng Huang (chair), May-Ru Chen (chair), Fu-Chuen Chang (chair), Mei-Hui Guo (committee member), Mong-Na Lo Huang (chair).

Subjects/Keywords: Nonhomogeneous Poisson point process; Spatial correlation; Scatter channels; Multipath channels; Geometric model

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Chen, C. (2013). Fourth-Order Spatial Correlation-Coefficient Across the Uplink Receiverâs Spatial Aperture for Non-Collinear Antennas. (Thesis). NSYSU. Retrieved from http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0629113-172653

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):

Chen, Ching-wen. “Fourth-Order Spatial Correlation-Coefficient Across the Uplink Receiverâs Spatial Aperture for Non-Collinear Antennas.” 2013. Thesis, NSYSU. Accessed December 14, 2019. http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0629113-172653.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Chen, Ching-wen. “Fourth-Order Spatial Correlation-Coefficient Across the Uplink Receiverâs Spatial Aperture for Non-Collinear Antennas.” 2013. Web. 14 Dec 2019.

Vancouver:

Chen C. Fourth-Order Spatial Correlation-Coefficient Across the Uplink Receiverâs Spatial Aperture for Non-Collinear Antennas. [Internet] [Thesis]. NSYSU; 2013. [cited 2019 Dec 14]. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0629113-172653.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Chen C. Fourth-Order Spatial Correlation-Coefficient Across the Uplink Receiverâs Spatial Aperture for Non-Collinear Antennas. [Thesis]. NSYSU; 2013. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0629113-172653

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


NSYSU

2. Su, Nan-cheng. An Investigation of Distribution Functions.

Degree: PhD, Applied Mathematics, 2008, NSYSU

The study of properties of probability distributions has always been a persistent theme of statistics and of applied probability. This thesis deals with an investigation of distribution functions under the following two topics: (i) characterization of distributions based on record values and order statistics, (ii) properties of the skew-t distribution. Within the extensive characterization literature there are several results involving properties of record values and order statistics. Although there have been many well known results already developed, it is still of great interest to find new characterization of distributions based on record values and order statistics. In the first part, we provide the conditional distribution of any record value given the maximum order statistics and study characterizations of distributions based on record values and the maximum order statistics. We also give some characterizations of the mean value function within the class of order statistics point processes, by using certain relations between the conditional moments of the jump times or current lives. These results can be applied to characterize the uniform distribution using the sequence of order statistics, and the exponential distribution using the sequence of record values, respectively. Azzalini (1985, 1986) introduced the skew-normal distribution which includes the normal distribution and has some properties like the normal and yet is skew. This class of distributions is useful in studying robustness and for modeling skewness. Since then, skew-symmetric distributions have been proposed by many authors. In the second part, the so-called generalized skew-t distribution is defined and studied. Examples of distributions in this class, generated by the ratio of two independent skew-symmetric distributions, are given. We also investigate properties of the skew-symmetric distribution. Advisors/Committee Members: Jyh-Cherng Su (chair), Wen-Jang Huang (committee member), Mei-Hui Guo (chair), Ray-Bing Chen (chair), Fu-Chuen Chang (chair), Mong-Na Lo Huang (chair).

Subjects/Keywords: skew-normal distribution; nonhomogeneous Poisson process; conditional expectation; skew-Cauchy distribution; skew-t distribution.; skew-symmetric distribution; order statistics; characterization; conditional distribution; record values; order statistics property

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Su, N. (2008). An Investigation of Distribution Functions. (Doctoral Dissertation). NSYSU. Retrieved from http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0624108-184139

Chicago Manual of Style (16th Edition):

Su, Nan-cheng. “An Investigation of Distribution Functions.” 2008. Doctoral Dissertation, NSYSU. Accessed December 14, 2019. http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0624108-184139.

MLA Handbook (7th Edition):

Su, Nan-cheng. “An Investigation of Distribution Functions.” 2008. Web. 14 Dec 2019.

Vancouver:

Su N. An Investigation of Distribution Functions. [Internet] [Doctoral dissertation]. NSYSU; 2008. [cited 2019 Dec 14]. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0624108-184139.

Council of Science Editors:

Su N. An Investigation of Distribution Functions. [Doctoral Dissertation]. NSYSU; 2008. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0624108-184139


University of South Florida

3. Chen, Zhao. Bayesian and Empirical Bayes Approaches to Power Law Process and Microarray Analysis.

Degree: 2004, University of South Florida

In this dissertation, we apply Bayesian and Empirical Bayes methods for reliability growth models based on the power law process. We also apply Bayes methods for the study of microarrays, in particular, in the selection of differentially expressed genes. The power law process has been used extensively in reliability growth models. Chapter 1 reviews some basic concepts in reliability growth models. Chapter 2 shows classical inferences on the power law process. We also assess the goodness of fit of a power law process for a reliability growth model. In chapter 3 we develop Bayesian procedures for the power law process with failure truncated data, using non-informative priors for the scale and location parameters. In addition to obtaining the posterior density of parameters of the power law process, prediction inferences for the expected number of failures in some time interval and the probability of future failure times are also discussed. The prediction results for the software reliability model are illustrated. We compare our result with the result of Bar-Lev,S.K. et al. Also, posterior densities of several parametric functions are given. Chapter 4 provides Empirical Bayes for the power law process with natural conjugate priors and nonparametric priors. For the natural conjugate priors, two-hyperparameter prior and a more generalized three-hyperparameter prior are used. In chapter 5, we review some basic statistical procedures that are involved in microarray analysis. We will also present and compare several transformation and normalization methods for probe level data. The objective of chapter 6 is to select differentially expressed genes from tens of thousands of genes. Both classical methods (fold change, T-test, Wilcoxon Rank-sum Test, SAM and local Z-score and Empirical Bayes methods (EBarrays and LIMMA) are applied to obtain the results. Outputs of a typical classical method and a typical Empirical Bayes Method are discussed in detail.

Subjects/Keywords: Bayesian; Empirical Bayes; Power Law Process; Nonhomogeneous Poisson Process; Microarray; EBarrays; American Studies; Arts and Humanities

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Chen, Z. (2004). Bayesian and Empirical Bayes Approaches to Power Law Process and Microarray Analysis. (Thesis). University of South Florida. Retrieved from https://scholarcommons.usf.edu/etd/992

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):

Chen, Zhao. “Bayesian and Empirical Bayes Approaches to Power Law Process and Microarray Analysis.” 2004. Thesis, University of South Florida. Accessed December 14, 2019. https://scholarcommons.usf.edu/etd/992.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Chen, Zhao. “Bayesian and Empirical Bayes Approaches to Power Law Process and Microarray Analysis.” 2004. Web. 14 Dec 2019.

Vancouver:

Chen Z. Bayesian and Empirical Bayes Approaches to Power Law Process and Microarray Analysis. [Internet] [Thesis]. University of South Florida; 2004. [cited 2019 Dec 14]. Available from: https://scholarcommons.usf.edu/etd/992.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Chen Z. Bayesian and Empirical Bayes Approaches to Power Law Process and Microarray Analysis. [Thesis]. University of South Florida; 2004. Available from: https://scholarcommons.usf.edu/etd/992

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

.