subject:(regression analysis)

Rutgers University

1. Feng, Long, 1989-. Topics in high-dimensional regression and nonparametric maximum likelihood methods.

Degree: PhD, Statistics and Biostatistics, 2017, Rutgers University

URL: https://rucore.libraries.rutgers.edu/rutgers-lib/55463/

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This thesis contains two parts. The first part, in Chapter 2-4, addresses three connected issues in penalized least-square estimation for high-dimensional data. The second part,… (more)

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This thesis contains two parts. The first part, in Chapter 2-4, addresses three connected issues in penalized least-square estimation for high-dimensional data. The second part, in Chapter 5, concerns nonparametric maximum likelihood methods for mixture models. In the fi rst part, we prove the estimation, prediction and selection properties of concave penalized least-square estimation (PLSE) under fully observed and noisy/missing design, and validate an essential condition for PLSE: the restricted-eigenvalue condition. In Chapter 2, we prove that the concave PLSE matches the oracle inequalities for prediction and coefficients estimation of the Lasso, based only on the restricted eigenvalue condition, one of the mildest condition imposed on the design matrix. Furthermore, under a uniform signal strength assumption, the selection consistency does not require any additional conditions for proper concave penalties such as the SCAD penalty and MCP. A scaled version of the concave PLSE is also proposed to jointly estimate the regression coefficients and noise level. Chapter 3 concerns high-dimensional regression when the design matrix are subject to missingness or noise. We extend the PLSE for fully observed design to noisy or missing design and prove that the same scale of coefficients estimation error can be obtained, while requiring no additional condition. Moreover, we show that a linear combination of the `2 norm of regression coefficients and the noise level is large enough as penalty level when noise or missingness exists. This sharpens the commonly understood results where l-1 norm of coefficients is required. Chapter 4 validates the restricted eigenvalue (RE) type conditions required in Chapter 2 and Chapter 3 and considers a more general groupwise version. We prove that the population version of the groupwise RE condition implies its sample version under a low moment condition given usual sample size requirement. Our results include the ordinary RE condition as a special case. In the second part, we consider nonparametric maximum likelihood (NPML) methods for mixture models, a nonparametric empirical Bayes approach. We provide concrete guidance on implementing multivariate NPML methods for mixture models, with theoretical and empirical support; topics covered include identifying the support set of the mixing distribution, and comparing algorithms (across a variety of metrics) for solving the simple convex optimization problem at the core of the approximate NPML problem. In addition, three diverse real data applications are provided to illustrate the performance of nonparametric maximum likelihood methods.

Advisors/Committee Members: Zhang, Cun-Hui (chair), Dicker, Lee H (internal member), Bellec, Pierre C (internal member), Greenshtein, Eitan (outside member), School of Graduate Studies.

Subjects/Keywords: Regression analysis

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APA (6^th Edition):

Feng, Long, 1. (2017). Topics in high-dimensional regression and nonparametric maximum likelihood methods. (Doctoral Dissertation). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/55463/

Chicago Manual of Style (16^th Edition):

Feng, Long, 1989-. “Topics in high-dimensional regression and nonparametric maximum likelihood methods.” 2017. Doctoral Dissertation, Rutgers University. Accessed March 01, 2021. https://rucore.libraries.rutgers.edu/rutgers-lib/55463/.

MLA Handbook (7^th Edition):

Feng, Long, 1989-. “Topics in high-dimensional regression and nonparametric maximum likelihood methods.” 2017. Web. 01 Mar 2021.

Vancouver:

Feng, Long 1. Topics in high-dimensional regression and nonparametric maximum likelihood methods. [Internet] [Doctoral dissertation]. Rutgers University; 2017. [cited 2021 Mar 01]. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/55463/.

Council of Science Editors:

Feng, Long 1. Topics in high-dimensional regression and nonparametric maximum likelihood methods. [Doctoral Dissertation]. Rutgers University; 2017. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/55463/

Hong Kong University of Science and Technology

2. Wang, Qian. Essays on estimation of censored quantile regression for cross-sectional and panel data.

Degree: 2016, Hong Kong University of Science and Technology

URL: http://repository.ust.hk/ir/Record/1783.1-82349 ; https://doi.org/10.14711/thesis-b1610459 ; http://repository.ust.hk/ir/bitstream/1783.1-82349/1/th_redirect.html

► This dissertation focus on censored quantile regression with endogenous regressors and for panel data with fixed effects. The first chapter investigates a censored regression model… (more)

▼ This dissertation focus on censored quantile regression with endogenous regressors and for panel data with fixed effects. The first chapter investigates a censored regression model with endogenous regressors. For the purpose of identification and estimation, we use the general instrumental variable technique instead of the commonly used control function approach. Under the distributional exclusion assumption, a continuum of moment conditions shall be obtained. We integrate these moment conditions over a range of quantiles to improve estimation efficiency, which results in a set of finite dimensional parameters and an infinite dimensional quantile function to be estimated jointly. Our proposed estimator is straightforward to implement by combining a convex minimization problem, Kaplan-Meier estimator and a low-dimensional, sometimes a merely one-dimensional, minimization search. Consistency and asymptotic normality are established under regularity conditions, and small scale Monte Carlo experiments show good and stable performance of our estimator. We also provide an empirical application to illustrate the proposed estimation method. The second chapter investigates estimation of a censored quantile regression (QR) model for panel data with fixed effect. We proposed a sequential estimation procedure which applies standard panel QR method to observations in informative subsets selected sequentially. Our sequential procedure does not make any parametric assumption on the censoring probability so as to avoid possible model misspecification. The proposed estimator is computationally convenient and achieves the same asymptotic efficiency as Powell's estimator. In order to establish asymptotic normality, the number of time periods T is required to grow much faster than the number of individuals N. This requirement is more restrictive than that in nonlinear panel data literature where T increases at a rate up to N. Under this weaker condition, we consider a smoothed sequential estimator which is consistent and asymptotically normal with a bias in the mean. Based on the expression of the bias term, we also consider an analytic bias correction procedure. A small Monte Carlo simulation is conducted to assess the finite sample performance of our estimators and the results show that they have stable and good performance.

Subjects/Keywords: Quantile regression ; Regression analysis ; Panel analysis ; Econometrics

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APA (6^th Edition):

Wang, Q. (2016). Essays on estimation of censored quantile regression for cross-sectional and panel data. (Thesis). Hong Kong University of Science and Technology. Retrieved from http://repository.ust.hk/ir/Record/1783.1-82349 ; https://doi.org/10.14711/thesis-b1610459 ; http://repository.ust.hk/ir/bitstream/1783.1-82349/1/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 (16^th Edition):

Wang, Qian. “Essays on estimation of censored quantile regression for cross-sectional and panel data.” 2016. Thesis, Hong Kong University of Science and Technology. Accessed March 01, 2021. http://repository.ust.hk/ir/Record/1783.1-82349 ; https://doi.org/10.14711/thesis-b1610459 ; http://repository.ust.hk/ir/bitstream/1783.1-82349/1/th_redirect.html.

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

MLA Handbook (7^th Edition):

Wang, Qian. “Essays on estimation of censored quantile regression for cross-sectional and panel data.” 2016. Web. 01 Mar 2021.

Vancouver:

Wang Q. Essays on estimation of censored quantile regression for cross-sectional and panel data. [Internet] [Thesis]. Hong Kong University of Science and Technology; 2016. [cited 2021 Mar 01]. Available from: http://repository.ust.hk/ir/Record/1783.1-82349 ; https://doi.org/10.14711/thesis-b1610459 ; http://repository.ust.hk/ir/bitstream/1783.1-82349/1/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:

Wang Q. Essays on estimation of censored quantile regression for cross-sectional and panel data. [Thesis]. Hong Kong University of Science and Technology; 2016. Available from: http://repository.ust.hk/ir/Record/1783.1-82349 ; https://doi.org/10.14711/thesis-b1610459 ; http://repository.ust.hk/ir/bitstream/1783.1-82349/1/th_redirect.html

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

North Carolina State University

3. Carr, Jessica Leigh. An Analysis of Climatic and Economic Conditions Affecting Tourism in the Coastal Region of North Carolina.

Degree: M, Parks, Recreation and Tourism Management, 2009, North Carolina State University

URL: http://www.lib.ncsu.edu/resolver/1840.16/2283

► The purpose of this research is to investigate selected climatic and economic conditions affecting tourism in the Coastal Region of North Carolina by using multiple… (more)

Subjects/Keywords: Regression Analysis; Tourism

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APA (6^th Edition):

Carr, J. L. (2009). An Analysis of Climatic and Economic Conditions Affecting Tourism in the Coastal Region of North Carolina. (Thesis). North Carolina State University. Retrieved from http://www.lib.ncsu.edu/resolver/1840.16/2283

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

Chicago Manual of Style (16^th Edition):

Carr, Jessica Leigh. “An Analysis of Climatic and Economic Conditions Affecting Tourism in the Coastal Region of North Carolina.” 2009. Thesis, North Carolina State University. Accessed March 01, 2021. http://www.lib.ncsu.edu/resolver/1840.16/2283.

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

MLA Handbook (7^th Edition):

Carr, Jessica Leigh. “An Analysis of Climatic and Economic Conditions Affecting Tourism in the Coastal Region of North Carolina.” 2009. Web. 01 Mar 2021.

Vancouver:

Carr JL. An Analysis of Climatic and Economic Conditions Affecting Tourism in the Coastal Region of North Carolina. [Internet] [Thesis]. North Carolina State University; 2009. [cited 2021 Mar 01]. Available from: http://www.lib.ncsu.edu/resolver/1840.16/2283.

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

Council of Science Editors:

Carr JL. An Analysis of Climatic and Economic Conditions Affecting Tourism in the Coastal Region of North Carolina. [Thesis]. North Carolina State University; 2009. Available from: http://www.lib.ncsu.edu/resolver/1840.16/2283

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

University of Nairobi

4. Mbatha, Kivindu Zacheus. The effect of ownership structure on the financial performance of sugar companies in Kenya .

Degree: 2012, University of Nairobi

URL: http://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/12395

► The objective of this study was to analyze and evaluate whether the form of business ownership has any significant effect on the financial performance of… (more)

Subjects/Keywords: Regression analysis; Consumption

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APA (6^th Edition):

Mbatha, K. Z. (2012). The effect of ownership structure on the financial performance of sugar companies in Kenya . (Thesis). University of Nairobi. Retrieved from http://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/12395

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

Chicago Manual of Style (16^th Edition):

Mbatha, Kivindu Zacheus. “The effect of ownership structure on the financial performance of sugar companies in Kenya .” 2012. Thesis, University of Nairobi. Accessed March 01, 2021. http://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/12395.

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

MLA Handbook (7^th Edition):

Mbatha, Kivindu Zacheus. “The effect of ownership structure on the financial performance of sugar companies in Kenya .” 2012. Web. 01 Mar 2021.

Vancouver:

Mbatha KZ. The effect of ownership structure on the financial performance of sugar companies in Kenya . [Internet] [Thesis]. University of Nairobi; 2012. [cited 2021 Mar 01]. Available from: http://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/12395.

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

Council of Science Editors:

Mbatha KZ. The effect of ownership structure on the financial performance of sugar companies in Kenya . [Thesis]. University of Nairobi; 2012. Available from: http://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/12395

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

University of Victoria

5. Yin, Yue. Theory and algorithms for finding optimal regression designs.

Degree: Department of Mathematics and Statistics, 2017, University of Victoria

URL: https://dspace.library.uvic.ca//handle/1828/8369

► In this dissertation, we investigate various theoretical properties of optimal regression designs and develop several numerical algorithms for computing them. The results can be applied… (more)

▼ In this dissertation, we investigate various theoretical properties of optimal regression designs and develop several numerical algorithms for computing them. The results can be applied to linear, nonlinear and generalized linear models. Our work starts from how to solve the design problems for A-, As, c-, I- and L-optimality criteria on one-response model. Theoretical results are hard to derive for many regression models and criteria, and existing numerical algorithms can not compute the results efficiently when the number of support points is large. Therefore we consider to solve the design problems based on SeDuMi program in MATLAB. SeDuMi is developed to solve semidefinite programming (SDP) problems in optimization. To apply it, we derive a general transformation to connect the design problems with SDP problems, and propose a numerical algorithm based on SeDuMi to solve these SDP problems. The algorithm is quite general under the least squares estimator (LSE) and weighted least squares estimator (WLSE) and can be applied to both linear and nonlinear regression models. We continue to study the optimal designs based on one-response model when the error distribution is asymmetric. Since the second-order least squares estimator (SLSE) is more efficient than the LSE when the error distribution is not symmetric, we study optimal designs under the SLSE. We derive expressions to characterize A- and D-optimality criteria and develop a numerical algorithm for finding optimal designs under the SLSE based on SeDuMi and CVX programs in MATLAB. Several theoretical properties are also derived for optimal designs under SLSE. To check the optimality of the numerical results, we establish the Kiefer-Wolfowitz equivalence theorem and apply it to various applications. Finally, we discuss the optimal design problems for multi-response models. Our algorithm studied here is based on SeDuMi and CVX, and it can be used for linear, nonlinear and generalized linear models. The transformation invariance property and dependence on the covariance matrix of the correlated errors are derived. We also correct the errors in the literature caused by formulation issues. The results are very useful to construct optimal regression designs on discrete design space. They can be applied to any one-response and multi-response models, various optimality criteria, and several estimators including LSE, maximum likelihood estimator, best linear unbiased estimator, SLSE and WLSE. Advisors/Committee Members: Zhou, Julie (supervisor).

Subjects/Keywords: algorithms; regression analysis

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APA (6^th Edition):

Yin, Y. (2017). Theory and algorithms for finding optimal regression designs. (Thesis). University of Victoria. Retrieved from https://dspace.library.uvic.ca//handle/1828/8369

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

Chicago Manual of Style (16^th Edition):

Yin, Yue. “Theory and algorithms for finding optimal regression designs.” 2017. Thesis, University of Victoria. Accessed March 01, 2021. https://dspace.library.uvic.ca//handle/1828/8369.

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

MLA Handbook (7^th Edition):

Yin, Yue. “Theory and algorithms for finding optimal regression designs.” 2017. Web. 01 Mar 2021.

Vancouver:

Yin Y. Theory and algorithms for finding optimal regression designs. [Internet] [Thesis]. University of Victoria; 2017. [cited 2021 Mar 01]. Available from: https://dspace.library.uvic.ca//handle/1828/8369.

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

Council of Science Editors:

Yin Y. Theory and algorithms for finding optimal regression designs. [Thesis]. University of Victoria; 2017. Available from: https://dspace.library.uvic.ca//handle/1828/8369

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

University of Ballarat

6. Mirzayeva, Hijran. Nonsmooth optimization algorithms for clusterwise linear regression.

Degree: PhD, 2013, University of Ballarat

URL: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/41975

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Data mining is about solving problems by analyzing data that present in databases. Supervised and unsupervised data classification (clustering) are among the most important techniques… (more)

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Data mining is about solving problems by analyzing data that present in databases. Supervised and unsupervised data classification (clustering) are among the most important techniques in data mining. Regression analysis is the process of fitting a function (often linear) to the data to discover how one or more variables vary as a function of another. The aim of clusterwise regression is to combine both of these techniques, to discover trends within data, when more than one trend is likely to exist. Clusterwise regression has applications for instance in market segmentation, where it allows one to gather information on customer behaviors for several unknown groups of customers. There exist different methods for solving clusterwise linear regression problems. In spite of that, the development of efficient algorithms for solving clusterwise linear regression problems is still an important research topic. In this thesis our aim is to develop new algorithms for solving clusterwise linear regression problems in large data sets based on incremental and nonsmooth optimization approaches. Three new methods for solving clusterwise linear regression problems are developed and numerically tested on publicly available data sets for regression analysis. The first method is a new algorithm for solving the clusterwise linear regression problems based on their nonsmooth nonconvex formulation. This is an incremental algorithm. The second method is a nonsmooth optimization algorithm for solving clusterwise linear regression problems. Nonsmooth optimization techniques are proposed to use instead of the Sp¨ath algorithm to solve optimization problems at each iteration of the incremental algorithm. The discrete gradient method is used to solve nonsmooth optimization problems at each iteration of the incremental algorithm. This approach allows one to reduce the CPU time and the number of regression problems solved in comparison with the first incremental algorithm. The third algorithm is an algorithm based on an incremental approach and on the smoothing techniques for solving clusterwise linear regression problems. The use of smoothing techniques allows one to apply powerful methods of smooth nonlinear programming to solve clusterwise linear regression problems. Numerical results are presented for all three algorithms using small to large data sets. The new algorithms are also compared with multi-start Sp¨ath algorithm for clusterwise linear regression.

Doctor of Philosophy

Subjects/Keywords: Regression analysis; Clusterwise regression; Data mining

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APA (6^th Edition):

Mirzayeva, H. (2013). Nonsmooth optimization algorithms for clusterwise linear regression. (Doctoral Dissertation). University of Ballarat. Retrieved from http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/41975

Chicago Manual of Style (16^th Edition):

Mirzayeva, Hijran. “Nonsmooth optimization algorithms for clusterwise linear regression.” 2013. Doctoral Dissertation, University of Ballarat. Accessed March 01, 2021. http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/41975.

MLA Handbook (7^th Edition):

Mirzayeva, Hijran. “Nonsmooth optimization algorithms for clusterwise linear regression.” 2013. Web. 01 Mar 2021.

Vancouver:

Mirzayeva H. Nonsmooth optimization algorithms for clusterwise linear regression. [Internet] [Doctoral dissertation]. University of Ballarat; 2013. [cited 2021 Mar 01]. Available from: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/41975.

Council of Science Editors:

Mirzayeva H. Nonsmooth optimization algorithms for clusterwise linear regression. [Doctoral Dissertation]. University of Ballarat; 2013. Available from: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/41975

University of Notre Dame

7. Charles Laurin. Lasso Meta-Regression and Its Application to Psychiatric Genomics</h1>.

Degree: Psychology, 2014, University of Notre Dame

URL: https://curate.nd.edu/show/qj72p556n1d

► Meta-analysis is an essential technique in psychiatric genomics. Heterogeneity of the effect sizes included in a meta-analysis can reduce its statistical power. Meta-regression provides… (more)

Subjects/Keywords: meta-regression; meta-analysis; lasso; shrinkage regression

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APA (6^th Edition):

Laurin, C. (2014). Lasso Meta-Regression and Its Application to Psychiatric Genomics</h1>. (Thesis). University of Notre Dame. Retrieved from https://curate.nd.edu/show/qj72p556n1d

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

Chicago Manual of Style (16^th Edition):

Laurin, Charles. “Lasso Meta-Regression and Its Application to Psychiatric Genomics</h1>.” 2014. Thesis, University of Notre Dame. Accessed March 01, 2021. https://curate.nd.edu/show/qj72p556n1d.

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

MLA Handbook (7^th Edition):

Laurin, Charles. “Lasso Meta-Regression and Its Application to Psychiatric Genomics</h1>.” 2014. Web. 01 Mar 2021.

Vancouver:

Laurin C. Lasso Meta-Regression and Its Application to Psychiatric Genomics</h1>. [Internet] [Thesis]. University of Notre Dame; 2014. [cited 2021 Mar 01]. Available from: https://curate.nd.edu/show/qj72p556n1d.

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

Council of Science Editors:

Laurin C. Lasso Meta-Regression and Its Application to Psychiatric Genomics</h1>. [Thesis]. University of Notre Dame; 2014. Available from: https://curate.nd.edu/show/qj72p556n1d

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

Oregon State University

8. Deaton, Leonard William. A prior distribution for smooth regression.

Degree: PhD, Statistics, 1973, Oregon State University

URL: http://hdl.handle.net/1957/22258

Subjects/Keywords: Regression analysis

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

APA (6^th Edition):

Deaton, L. W. (1973). A prior distribution for smooth regression. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/22258

Chicago Manual of Style (16^th Edition):

Deaton, Leonard William. “A prior distribution for smooth regression.” 1973. Doctoral Dissertation, Oregon State University. Accessed March 01, 2021. http://hdl.handle.net/1957/22258.

MLA Handbook (7^th Edition):

Deaton, Leonard William. “A prior distribution for smooth regression.” 1973. Web. 01 Mar 2021.

Vancouver:

Deaton LW. A prior distribution for smooth regression. [Internet] [Doctoral dissertation]. Oregon State University; 1973. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1957/22258.

Council of Science Editors:

Deaton LW. A prior distribution for smooth regression. [Doctoral Dissertation]. Oregon State University; 1973. Available from: http://hdl.handle.net/1957/22258

Oregon State University

9. Rahuma, Ali Ahmed. Application and evaluation of ridge regression to selected empirical economic models.

Degree: MS, Agricultural and Resource Economics, 1977, Oregon State University

URL: http://hdl.handle.net/1957/22535

Subjects/Keywords: Regression analysis

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APA (6^th Edition):

Rahuma, A. A. (1977). Application and evaluation of ridge regression to selected empirical economic models. (Masters Thesis). Oregon State University. Retrieved from http://hdl.handle.net/1957/22535

Chicago Manual of Style (16^th Edition):

Rahuma, Ali Ahmed. “Application and evaluation of ridge regression to selected empirical economic models.” 1977. Masters Thesis, Oregon State University. Accessed March 01, 2021. http://hdl.handle.net/1957/22535.

MLA Handbook (7^th Edition):

Rahuma, Ali Ahmed. “Application and evaluation of ridge regression to selected empirical economic models.” 1977. Web. 01 Mar 2021.

Vancouver:

Rahuma AA. Application and evaluation of ridge regression to selected empirical economic models. [Internet] [Masters thesis]. Oregon State University; 1977. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1957/22535.

Council of Science Editors:

Rahuma AA. Application and evaluation of ridge regression to selected empirical economic models. [Masters Thesis]. Oregon State University; 1977. Available from: http://hdl.handle.net/1957/22535

University of Utah

10. Fishbaugh, James. Spatiotemporal modeling of anatomical shape complexes.

Degree: PhD, Computing (School of), 2015, University of Utah

URL: http://content.lib.utah.edu/cdm/singleitem/collection/etd3/id/3709/rec/2233

► Statistical analysis of time dependent imaging data is crucial for understanding normal anatomical development as well as disease progression. The most promising studies are of… (more)

▼ Statistical analysis of time dependent imaging data is crucial for understanding normal anatomical development as well as disease progression. The most promising studies are of longitudinal design, where repeated observations are obtained from the same subjects. Analysis in this case is challenging due to the difficulty in modeling longitudinal changes, such as growth, and comparing changes across different populations. In any case, the study of anatomical change over time has the potential to further our understanding of many dynamic processes. What is needed are accurate computational models to capture, describe, and quantify anatomical change over time. Anatomical shape is encoded in a variety of representations, such as medical imaging data and derived geometric information extracted as points, curves, and/or surfaces. By considering various shape representations embedded into the same ambient space as a shape complex, either in 2D or 3D, we obtain a more comprehensive description of the anatomy than provided by an single isolated shape. In this dissertation, we develop spatiotemporal models of anatomical change designed to leverage multiple shape representations simultaneously. Rather than study directly the geometric changes to a shape itself, we instead consider how the ambient space deforms, which allows all embedded shapes to be included simultaneously in model estimation. Around this idea, we develop two complementary spatiotemporal models: a flexible nonparametric model designed to capture complex anatomical trajectories, and a generative model designed as a compact statistical representation of anatomical change. We present several ways spatiotemporal models can support the statistical analysis of scalar measurements, such as volume, extracted from shape. Finally, we cover the statistical analysis of higher dimensional shape features to take better advantage of the rich morphometric information provided by shape, as well as the trajectory of change captured by spatiotemporal models.

Subjects/Keywords: Shape analysis; Shape regression; Spatiotemporal

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

APA (6^th Edition):

Fishbaugh, J. (2015). Spatiotemporal modeling of anatomical shape complexes. (Doctoral Dissertation). University of Utah. Retrieved from http://content.lib.utah.edu/cdm/singleitem/collection/etd3/id/3709/rec/2233

Chicago Manual of Style (16^th Edition):

Fishbaugh, James. “Spatiotemporal modeling of anatomical shape complexes.” 2015. Doctoral Dissertation, University of Utah. Accessed March 01, 2021. http://content.lib.utah.edu/cdm/singleitem/collection/etd3/id/3709/rec/2233.

MLA Handbook (7^th Edition):

Fishbaugh, James. “Spatiotemporal modeling of anatomical shape complexes.” 2015. Web. 01 Mar 2021.

Vancouver:

Fishbaugh J. Spatiotemporal modeling of anatomical shape complexes. [Internet] [Doctoral dissertation]. University of Utah; 2015. [cited 2021 Mar 01]. Available from: http://content.lib.utah.edu/cdm/singleitem/collection/etd3/id/3709/rec/2233.

Council of Science Editors:

Fishbaugh J. Spatiotemporal modeling of anatomical shape complexes. [Doctoral Dissertation]. University of Utah; 2015. Available from: http://content.lib.utah.edu/cdm/singleitem/collection/etd3/id/3709/rec/2233

Oregon State University

11. Fernandez, Jose Enrique. Treatment of autocorrelated disturbances in economic functions.

Degree: PhD, Agricultural Economics, 1972, Oregon State University

URL: http://hdl.handle.net/1957/26526

Subjects/Keywords: Regression analysis

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APA (6^th Edition):

Fernandez, J. E. (1972). Treatment of autocorrelated disturbances in economic functions. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/26526

Chicago Manual of Style (16^th Edition):

Fernandez, Jose Enrique. “Treatment of autocorrelated disturbances in economic functions.” 1972. Doctoral Dissertation, Oregon State University. Accessed March 01, 2021. http://hdl.handle.net/1957/26526.

MLA Handbook (7^th Edition):

Fernandez, Jose Enrique. “Treatment of autocorrelated disturbances in economic functions.” 1972. Web. 01 Mar 2021.

Vancouver:

Fernandez JE. Treatment of autocorrelated disturbances in economic functions. [Internet] [Doctoral dissertation]. Oregon State University; 1972. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1957/26526.

Council of Science Editors:

Fernandez JE. Treatment of autocorrelated disturbances in economic functions. [Doctoral Dissertation]. Oregon State University; 1972. Available from: http://hdl.handle.net/1957/26526

Oregon State University

12. Muzacz, Arien K. The Relationship Between Sexual Orientation Identity and Specific Health Behaviors.

Degree: PhD, Counseling, 2015, Oregon State University

URL: http://hdl.handle.net/1957/56262

► The American Counseling Association's Code of Ethics states that counselors and counselor trainees must be competent providers of multicultural counseling, able to practice effectively with… (more)

▼ The American Counseling Association's Code of Ethics states that counselors and counselor trainees must be competent providers of multicultural counseling, able to practice effectively with clients whose identities differ from their own. Counseling students and trainees receive very little training around sexual orientation and how to work with clients who identify as members of a sexual minority group (i.e., LGB; lesbian, gay or bisexual). Counselors, counselor educators and pre-service counselors are also asked to seek out current, relevant research to provide a basis for the interventions and treatment offered to clients. Recent literature in public health has identified health disparities among individuals who identify as, or are identified as, sexual minorities. Higher rates of psychiatric disorders, substance use, heart disease, tobacco use, and obesity have been found in LGB samples as compared to heterosexual samples. However, existing articles are limited by: (a) sampling issues, including small sample sizes, (b) an overall lack of racial and ethnic diversity, and (c) the conflation of sexual behavior with identity. Additionally, counselors and counselor educators have not researched these differences in health behaviors and conditions. In the current study, the prevalence of harmful or potentially hazardous alcohol use and drug use among patients who self-identified as gay, lesbian, bisexual and heterosexual was compared in a diverse sample of patients visiting New York City STD clinics. Levels of alcohol and drug use were compared by sexual orientation identity using nonparametric analyses. Results showed that patients who identified as LGB reported higher rates of potentially harmful drug and alcohol use than patients who identified as heterosexual. Next, data collected from patients visiting New York City STD clinics for a physician visit were examined using binary logistic regression analyses. The aim of this study was to determine whether a relationship exists between sexual orientation identity and likelihood of diagnosis with a sexually transmitted infection (STI). In addition, known demographic and behavioral predictor variables were included in this regression analysis as covariates (i.e., race, ethnicity, age, gender identity, alcohol use, drug use, same-sex sexual behavior). Results showed that a relationship does exist between sexual orientation identity and likelihood of STI diagnosis, such that identifying as LGB increases an individual's odds of receiving a STI diagnosis. This predictor variable was found to increase the likelihood of diagnosis along with covariates including Black/African American racial identity, Hispanic ethnicity, same-sex sexual behavior, and drug use. Covariates that decreased the odds of STI diagnosis included female gender identity, transgender identity, and older age. The primary implication that emerged from the aforementioned research was that individuals who identify as sexual minorities (i.e., as LGB) have different relationships… Advisors/Committee Members: Dykeman, Cass (advisor), Eakin, Gene (committee member).

Subjects/Keywords: regression analysis; Sexual orientation

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APA (6^th Edition):

Muzacz, A. K. (2015). The Relationship Between Sexual Orientation Identity and Specific Health Behaviors. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/56262

Chicago Manual of Style (16^th Edition):

Muzacz, Arien K. “The Relationship Between Sexual Orientation Identity and Specific Health Behaviors.” 2015. Doctoral Dissertation, Oregon State University. Accessed March 01, 2021. http://hdl.handle.net/1957/56262.

MLA Handbook (7^th Edition):

Muzacz, Arien K. “The Relationship Between Sexual Orientation Identity and Specific Health Behaviors.” 2015. Web. 01 Mar 2021.

Vancouver:

Muzacz AK. The Relationship Between Sexual Orientation Identity and Specific Health Behaviors. [Internet] [Doctoral dissertation]. Oregon State University; 2015. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1957/56262.

Council of Science Editors:

Muzacz AK. The Relationship Between Sexual Orientation Identity and Specific Health Behaviors. [Doctoral Dissertation]. Oregon State University; 2015. Available from: http://hdl.handle.net/1957/56262

University of Johannesburg

13. Loonat, Ziyaad. Quantile regression methods for censored survival data.

Degree: 2015, University of Johannesburg

URL: http://hdl.handle.net/10210/15094

►

M.Sc. (Mathematical Statistics)

While a typical regression model describes how the mean value of a response variable varies with a set of explanatory variables, quantile… (more)

Subjects/Keywords: Regression analysis; Mathematical statistics

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APA (6^th Edition):

Loonat, Z. (2015). Quantile regression methods for censored survival data. (Thesis). University of Johannesburg. Retrieved from http://hdl.handle.net/10210/15094

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

Chicago Manual of Style (16^th Edition):

Loonat, Ziyaad. “Quantile regression methods for censored survival data.” 2015. Thesis, University of Johannesburg. Accessed March 01, 2021. http://hdl.handle.net/10210/15094.

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

MLA Handbook (7^th Edition):

Loonat, Ziyaad. “Quantile regression methods for censored survival data.” 2015. Web. 01 Mar 2021.

Vancouver:

Loonat Z. Quantile regression methods for censored survival data. [Internet] [Thesis]. University of Johannesburg; 2015. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/10210/15094.

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

Council of Science Editors:

Loonat Z. Quantile regression methods for censored survival data. [Thesis]. University of Johannesburg; 2015. Available from: http://hdl.handle.net/10210/15094

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

Addis Ababa University

14. Edimealem, Mihretie. The Determinants of Banking System Stability in Ethiopia .

Degree: 2014, Addis Ababa University

URL: http://etd.aau.edu.et/dspace/handle/123456789/4991

► This study examines the various bank specific and macroeconomic variables that affect the banking system stability in Ethiopia during the study period ranging from 2000… (more)

Subjects/Keywords: Banking System; Regression Analysis

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APA (6^th Edition):

Edimealem, M. (2014). The Determinants of Banking System Stability in Ethiopia . (Thesis). Addis Ababa University. Retrieved from http://etd.aau.edu.et/dspace/handle/123456789/4991

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

Chicago Manual of Style (16^th Edition):

Edimealem, Mihretie. “The Determinants of Banking System Stability in Ethiopia .” 2014. Thesis, Addis Ababa University. Accessed March 01, 2021. http://etd.aau.edu.et/dspace/handle/123456789/4991.

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

MLA Handbook (7^th Edition):

Edimealem, Mihretie. “The Determinants of Banking System Stability in Ethiopia .” 2014. Web. 01 Mar 2021.

Vancouver:

Edimealem M. The Determinants of Banking System Stability in Ethiopia . [Internet] [Thesis]. Addis Ababa University; 2014. [cited 2021 Mar 01]. Available from: http://etd.aau.edu.et/dspace/handle/123456789/4991.

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

Council of Science Editors:

Edimealem M. The Determinants of Banking System Stability in Ethiopia . [Thesis]. Addis Ababa University; 2014. Available from: http://etd.aau.edu.et/dspace/handle/123456789/4991

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

University of Nairobi

15. Ndirangu, Christopher S N. Determinants of Contraceptive Discontinuation: A Weibull Regression Analysis .

Degree: 2012, University of Nairobi

URL: http://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/11895

► This is a study to examine the overall discontinuation rate and factors associated with contraceptive discontinuation among women of reproductive age group between 15 to… (more)

Subjects/Keywords: Determinants; Contraceptive; Weibull regression analysis

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APA (6^th Edition):

Ndirangu, C. S. N. (2012). Determinants of Contraceptive Discontinuation: A Weibull Regression Analysis . (Thesis). University of Nairobi. Retrieved from http://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/11895

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

Chicago Manual of Style (16^th Edition):

Ndirangu, Christopher S N. “Determinants of Contraceptive Discontinuation: A Weibull Regression Analysis .” 2012. Thesis, University of Nairobi. Accessed March 01, 2021. http://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/11895.

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

MLA Handbook (7^th Edition):

Ndirangu, Christopher S N. “Determinants of Contraceptive Discontinuation: A Weibull Regression Analysis .” 2012. Web. 01 Mar 2021.

Vancouver:

Ndirangu CSN. Determinants of Contraceptive Discontinuation: A Weibull Regression Analysis . [Internet] [Thesis]. University of Nairobi; 2012. [cited 2021 Mar 01]. Available from: http://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/11895.

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

Council of Science Editors:

Ndirangu CSN. Determinants of Contraceptive Discontinuation: A Weibull Regression Analysis . [Thesis]. University of Nairobi; 2012. Available from: http://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/11895

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

University of Nairobi

16. Vashta, Jlopleh- Warner. Green supply chain management and supply chain responsiveness among food and beverages manufacturing firms in Nairobi, Kenya .

Degree: 2012, University of Nairobi

URL: http://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/12289

► This research study had two objectives: first, to determine the benefits of and challenges facing green supply chain management implementation among food and beverage manufacturing… (more)

Subjects/Keywords: Regression analysis; GSCM.; Operational costs

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APA (6^th Edition):

Vashta, J. W. (2012). Green supply chain management and supply chain responsiveness among food and beverages manufacturing firms in Nairobi, Kenya . (Thesis). University of Nairobi. Retrieved from http://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/12289

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

Chicago Manual of Style (16^th Edition):

Vashta, Jlopleh- Warner. “Green supply chain management and supply chain responsiveness among food and beverages manufacturing firms in Nairobi, Kenya .” 2012. Thesis, University of Nairobi. Accessed March 01, 2021. http://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/12289.

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

MLA Handbook (7^th Edition):

Vashta, Jlopleh- Warner. “Green supply chain management and supply chain responsiveness among food and beverages manufacturing firms in Nairobi, Kenya .” 2012. Web. 01 Mar 2021.

Vancouver:

Vashta JW. Green supply chain management and supply chain responsiveness among food and beverages manufacturing firms in Nairobi, Kenya . [Internet] [Thesis]. University of Nairobi; 2012. [cited 2021 Mar 01]. Available from: http://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/12289.

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

Council of Science Editors:

Vashta JW. Green supply chain management and supply chain responsiveness among food and beverages manufacturing firms in Nairobi, Kenya . [Thesis]. University of Nairobi; 2012. Available from: http://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/12289

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

Oregon State University

17. Higdon, Roger. Application and computation of likelihood methods for regression with measurement error.

Degree: PhD, Statistics, 1998, Oregon State University

URL: http://hdl.handle.net/1957/33876

► This thesis advocates the use of maximum likelihood analysis for generalized regression models with measurement error in a single explanatory variable. This will be done… (more)

Subjects/Keywords: Regression analysis

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APA (6^th Edition):

Higdon, R. (1998). Application and computation of likelihood methods for regression with measurement error. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/33876

Chicago Manual of Style (16^th Edition):

Higdon, Roger. “Application and computation of likelihood methods for regression with measurement error.” 1998. Doctoral Dissertation, Oregon State University. Accessed March 01, 2021. http://hdl.handle.net/1957/33876.

MLA Handbook (7^th Edition):

Higdon, Roger. “Application and computation of likelihood methods for regression with measurement error.” 1998. Web. 01 Mar 2021.

Vancouver:

Higdon R. Application and computation of likelihood methods for regression with measurement error. [Internet] [Doctoral dissertation]. Oregon State University; 1998. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1957/33876.

Council of Science Editors:

Higdon R. Application and computation of likelihood methods for regression with measurement error. [Doctoral Dissertation]. Oregon State University; 1998. Available from: http://hdl.handle.net/1957/33876

Oregon State University

18. Haff, Leonard Ray. Bayesian regression with autoregressive priors.

Degree: PhD, Statistics, 1973, Oregon State University

URL: http://hdl.handle.net/1957/44522

Subjects/Keywords: Regression analysis

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APA (6^th Edition):

Haff, L. R. (1973). Bayesian regression with autoregressive priors. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/44522

Chicago Manual of Style (16^th Edition):

Haff, Leonard Ray. “Bayesian regression with autoregressive priors.” 1973. Doctoral Dissertation, Oregon State University. Accessed March 01, 2021. http://hdl.handle.net/1957/44522.

MLA Handbook (7^th Edition):

Haff, Leonard Ray. “Bayesian regression with autoregressive priors.” 1973. Web. 01 Mar 2021.

Vancouver:

Haff LR. Bayesian regression with autoregressive priors. [Internet] [Doctoral dissertation]. Oregon State University; 1973. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1957/44522.

Council of Science Editors:

Haff LR. Bayesian regression with autoregressive priors. [Doctoral Dissertation]. Oregon State University; 1973. Available from: http://hdl.handle.net/1957/44522

Oregon State University

19. Daly, James C. A Bayesian approach to two-phase regression.

Degree: PhD, Statistics, 1973, Oregon State University

URL: http://hdl.handle.net/1957/45038

► A Bayesian approach to the analysis of a two-phase linear regression model is given. It is assumed that the regression model is continuous at the… (more)

Subjects/Keywords: Regression analysis

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APA (6^th Edition):

Daly, J. C. (1973). A Bayesian approach to two-phase regression. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/45038

Chicago Manual of Style (16^th Edition):

Daly, James C. “A Bayesian approach to two-phase regression.” 1973. Doctoral Dissertation, Oregon State University. Accessed March 01, 2021. http://hdl.handle.net/1957/45038.

MLA Handbook (7^th Edition):

Daly, James C. “A Bayesian approach to two-phase regression.” 1973. Web. 01 Mar 2021.

Vancouver:

Daly JC. A Bayesian approach to two-phase regression. [Internet] [Doctoral dissertation]. Oregon State University; 1973. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1957/45038.

Council of Science Editors:

Daly JC. A Bayesian approach to two-phase regression. [Doctoral Dissertation]. Oregon State University; 1973. Available from: http://hdl.handle.net/1957/45038

Oregon State University

20. Lee, Chu-in Charles. Conditional expectation given a [sigma]-lattice.

Degree: PhD, Statistics, 1975, Oregon State University

URL: http://hdl.handle.net/1957/45553

Subjects/Keywords: Regression analysis

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APA (6^th Edition):

Lee, C. C. (1975). Conditional expectation given a [sigma]-lattice. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/45553

Chicago Manual of Style (16^th Edition):

Lee, Chu-in Charles. “Conditional expectation given a [sigma]-lattice.” 1975. Doctoral Dissertation, Oregon State University. Accessed March 01, 2021. http://hdl.handle.net/1957/45553.

MLA Handbook (7^th Edition):

Lee, Chu-in Charles. “Conditional expectation given a [sigma]-lattice.” 1975. Web. 01 Mar 2021.

Vancouver:

Lee CC. Conditional expectation given a [sigma]-lattice. [Internet] [Doctoral dissertation]. Oregon State University; 1975. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1957/45553.

Council of Science Editors:

Lee CC. Conditional expectation given a [sigma]-lattice. [Doctoral Dissertation]. Oregon State University; 1975. Available from: http://hdl.handle.net/1957/45553

Oregon State University

21. Reinmuth, James Elroy. Empirical studies on the estimation of variances in linear regression models.

Degree: PhD, Statistics, 1969, Oregon State University

URL: http://hdl.handle.net/1957/45717

► An iterative approach is suggested for the estimation of the error covariance matrix [sigma] to find approximate BLUE estimators in linear regression models. It is… (more)

Subjects/Keywords: Regression analysis

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APA (6^th Edition):

Reinmuth, J. E. (1969). Empirical studies on the estimation of variances in linear regression models. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/45717

Chicago Manual of Style (16^th Edition):

Reinmuth, James Elroy. “Empirical studies on the estimation of variances in linear regression models.” 1969. Doctoral Dissertation, Oregon State University. Accessed March 01, 2021. http://hdl.handle.net/1957/45717.

MLA Handbook (7^th Edition):

Reinmuth, James Elroy. “Empirical studies on the estimation of variances in linear regression models.” 1969. Web. 01 Mar 2021.

Vancouver:

Reinmuth JE. Empirical studies on the estimation of variances in linear regression models. [Internet] [Doctoral dissertation]. Oregon State University; 1969. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/1957/45717.

Council of Science Editors:

Reinmuth JE. Empirical studies on the estimation of variances in linear regression models. [Doctoral Dissertation]. Oregon State University; 1969. Available from: http://hdl.handle.net/1957/45717

Columbia University

22. Park, Hyung. Flexible Regression Models for Estimating Interactions between a Treatment and Scalar/Functional Predictors.

Degree: 2018, Columbia University

URL: https://doi.org/10.7916/D8GJ11HD

► In this dissertation, we develop regression models for estimating interactions between a treatment variable and a set of baseline predictors in their eect on the… (more)

▼ In this dissertation, we develop regression models for estimating interactions between a treatment variable and a set of baseline predictors in their eect on the outcome in a randomized trial, without restriction to a linear relationship. The proposed semiparametric/nonparametric regression approaches for representing interactions generalize the notion of an interaction between a categorical treatment variable and a set of predictors on the outcome, from a linear model context. In Chapter 2, we develop a model for determining a composite predictor from a set of baseline predictors that can have a nonlinear interaction with the treatment indicator, implying that the treatment efficacy can vary across values of such a predictor without a linearity restriction. We introduce a parsimonious generalization of the single-index models that targets the eect of the interaction between the treatment conditions and the vector of predictors on the outcome. A common approach to interrogate such treatment-by-predictor interaction is to t a regression curve as a function of the predictors separately for each treatment group. For parsimony and insight, we propose a single-index model with multiple-links that estimates a single linear combination of the predictors (i.e., a single-index), with treatment-specic nonparametrically-dened link functions. The approach emphasizes a focus on the treatment-by-predictors interaction eects on the treatment outcome that are relevant for making optimal treatment decisions. Asymptotic results for estimator are obtained under possible model misspecication. A treatment decision rule based on the derived single-index is dened, and it is compared to other methods for estimating optimal treatment decision rules. An application to a clinical trial for the treatment of depression is presented to illustrate the proposed approach for deriving treatment decision rules. In Chapter 3, we allow the proposed single-index model with multiple-links to have an unspecified main effect of the predictors on the outcome. This extension greatly increases the utility of the proposed regression approach for estimating the treatment-by-predictors interactions. By obviating the need to model the main eect, the proposed method extends the modied covariate approach of [Tian et al., 2014] into a semiparametric regression framework. Also, the approach extends [Tian et al., 2014] into general K treatment arms. In Chapter 4, we introduce a regularization method to deal with the potential high dimensionality of the predictor space and to simultaneously select relevant treatment effect modiers exhibiting possibly nonlinear associations with the outcome. We present a set of extensive simulations to illustrate the performance of the treatment decision rules estimated from the proposed method. An application to a clinical trial for the treatment of depression is presented to illustrate the proposed approach for deriving treatment decision rules. In Chapter 5, we develop a novel additive regression…

Subjects/Keywords: Biometry; Regression analysis; Therapeutics; Statistics

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APA (6^th Edition):

Park, H. (2018). Flexible Regression Models for Estimating Interactions between a Treatment and Scalar/Functional Predictors. (Doctoral Dissertation). Columbia University. Retrieved from https://doi.org/10.7916/D8GJ11HD

Chicago Manual of Style (16^th Edition):

Park, Hyung. “Flexible Regression Models for Estimating Interactions between a Treatment and Scalar/Functional Predictors.” 2018. Doctoral Dissertation, Columbia University. Accessed March 01, 2021. https://doi.org/10.7916/D8GJ11HD.

MLA Handbook (7^th Edition):

Park, Hyung. “Flexible Regression Models for Estimating Interactions between a Treatment and Scalar/Functional Predictors.” 2018. Web. 01 Mar 2021.

Vancouver:

Park H. Flexible Regression Models for Estimating Interactions between a Treatment and Scalar/Functional Predictors. [Internet] [Doctoral dissertation]. Columbia University; 2018. [cited 2021 Mar 01]. Available from: https://doi.org/10.7916/D8GJ11HD.

Council of Science Editors:

Park H. Flexible Regression Models for Estimating Interactions between a Treatment and Scalar/Functional Predictors. [Doctoral Dissertation]. Columbia University; 2018. Available from: https://doi.org/10.7916/D8GJ11HD

Columbia University

23. Weng, Haolei. A unified view of high-dimensional bridge regression.

Degree: 2017, Columbia University

URL: https://doi.org/10.7916/D82V2THP

► In many application areas ranging from bioinformatics to imaging, we are interested in recovering a sparse coefficient in the high-dimensional linear model, when the sample… (more)

▼ In many application areas ranging from bioinformatics to imaging, we are interested in recovering a sparse coefficient in the high-dimensional linear model, when the sample size n is comparable to or less than the dimension p. One of the most popular classes of estimators is the Lq-regularized least squares (LQLS), a.k.a. bridge regression. There have been extensive studies towards understanding the performance of the best subset selection (q=0), LASSO (q=1) and ridge (q=2), three widely known estimators from the LQLS family. This thesis aims at giving a unified view of LQLS for all the non-negative values of q. In contrast to most existing works which obtain order-wise error bounds with loose constants, we derive asymptotically exact error formulas characterized through a series of fixed point equations. A delicate analysis of the fixed point equations enables us to gain fruitful insights into the statistical properties of LQLS across the entire spectrum of Lq-regularization. Our work not only validates the scope of folklore understanding of Lq-minimization, but also provides new insights into high-dimensional statistics as a whole. We will elaborate on our theoretical findings mainly from parameter estimation point of view. At the end of the thesis, we briefly mention bridge regression for variable selection and prediction. We start by considering the parameter estimation problem and evaluate the performance of LQLS by characterizing the asymptotic mean square error (AMSE). The expression we derive for AMSE does not have explicit forms and hence is not useful in comparing LQLS for different values of q, or providing information in evaluating the effect of relative sample size n/p or the sparsity level of the coefficient. To simplify the expression, we first perform the phase transition (PT) analysis, a widely accepted analysis diagram, of LQLS. Our results reveal some of the limitations and misleading features of the PT framework. To overcome these limitations, we propose the small-error analysis of LQLS. Our new analysis framework not only sheds light on the results of the phase transition analysis, but also describes when phase transition analysis is reliable, and presents a more accurate comparison among different Lq-regularizations. We then extend our low noise sensitivity analysis to linear models without sparsity structure. Our analysis, as a generalization of phase transition analysis, reveals a clear picture of bridge regression for estimating generic coefficients. Moreover, by a simple transformation we connect our low-noise sensitivity framework to the classical asymptotic regime in which n/p goes to infinity, and give some insightful implications beyond what classical asymptotic analysis of bridge regression can offer. Furthermore, following the same idea of the new analysis framework, we are able to obtain an explicit characterization of AMSE in the form of second-order expansions under the large noise regime. The expansions provide us some intriguing messages. For example, ridge will…

Subjects/Keywords: Statistics; Regression analysis; Mathematics

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APA (6^th Edition):

Weng, H. (2017). A unified view of high-dimensional bridge regression. (Doctoral Dissertation). Columbia University. Retrieved from https://doi.org/10.7916/D82V2THP

Chicago Manual of Style (16^th Edition):

Weng, Haolei. “A unified view of high-dimensional bridge regression.” 2017. Doctoral Dissertation, Columbia University. Accessed March 01, 2021. https://doi.org/10.7916/D82V2THP.

MLA Handbook (7^th Edition):

Weng, Haolei. “A unified view of high-dimensional bridge regression.” 2017. Web. 01 Mar 2021.

Vancouver:

Weng H. A unified view of high-dimensional bridge regression. [Internet] [Doctoral dissertation]. Columbia University; 2017. [cited 2021 Mar 01]. Available from: https://doi.org/10.7916/D82V2THP.

Council of Science Editors:

Weng H. A unified view of high-dimensional bridge regression. [Doctoral Dissertation]. Columbia University; 2017. Available from: https://doi.org/10.7916/D82V2THP

Hong Kong University of Science and Technology

24. Hu, Jianchang. On some problems in high-dimensional regression.

Degree: 2013, Hong Kong University of Science and Technology

URL: http://repository.ust.hk/ir/Record/1783.1-62368 ; https://doi.org/10.14711/thesis-b1251993 ; http://repository.ust.hk/ir/bitstream/1783.1-62368/1/th_redirect.html

► In this thesis, we considered two high-dimensional regression problems. In the first part, we considered a linear regression problem in high-dimensional setting, where the covariates… (more)

Subjects/Keywords: Regression analysis ; Mathematical models

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APA (6^th Edition):

Hu, J. (2013). On some problems in high-dimensional regression. (Thesis). Hong Kong University of Science and Technology. Retrieved from http://repository.ust.hk/ir/Record/1783.1-62368 ; https://doi.org/10.14711/thesis-b1251993 ; http://repository.ust.hk/ir/bitstream/1783.1-62368/1/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 (16^th Edition):

Hu, Jianchang. “On some problems in high-dimensional regression.” 2013. Thesis, Hong Kong University of Science and Technology. Accessed March 01, 2021. http://repository.ust.hk/ir/Record/1783.1-62368 ; https://doi.org/10.14711/thesis-b1251993 ; http://repository.ust.hk/ir/bitstream/1783.1-62368/1/th_redirect.html.

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

MLA Handbook (7^th Edition):

Hu, Jianchang. “On some problems in high-dimensional regression.” 2013. Web. 01 Mar 2021.

Vancouver:

Hu J. On some problems in high-dimensional regression. [Internet] [Thesis]. Hong Kong University of Science and Technology; 2013. [cited 2021 Mar 01]. Available from: http://repository.ust.hk/ir/Record/1783.1-62368 ; https://doi.org/10.14711/thesis-b1251993 ; http://repository.ust.hk/ir/bitstream/1783.1-62368/1/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:

Hu J. On some problems in high-dimensional regression. [Thesis]. Hong Kong University of Science and Technology; 2013. Available from: http://repository.ust.hk/ir/Record/1783.1-62368 ; https://doi.org/10.14711/thesis-b1251993 ; http://repository.ust.hk/ir/bitstream/1783.1-62368/1/th_redirect.html

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

25. Tian, Yuan. Matthew effect in the market : a regression discontinuity approach.

Degree: 2014, Hong Kong University of Science and Technology

URL: http://repository.ust.hk/ir/Record/1783.1-81405 ; https://doi.org/10.14711/thesis-b1334176 ; http://repository.ust.hk/ir/bitstream/1783.1-81405/1/th_redirect.html

► Status is of great interest to economic and organizational sociologists to the extent that it is conceived to cause inequality to amplify as unearned benefits… (more)

Subjects/Keywords: Regression analysis ; Profit ; Mathematical models

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

APA (6^th Edition):

Tian, Y. (2014). Matthew effect in the market : a regression discontinuity approach. (Thesis). Hong Kong University of Science and Technology. Retrieved from http://repository.ust.hk/ir/Record/1783.1-81405 ; https://doi.org/10.14711/thesis-b1334176 ; http://repository.ust.hk/ir/bitstream/1783.1-81405/1/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 (16^th Edition):

Tian, Yuan. “Matthew effect in the market : a regression discontinuity approach.” 2014. Thesis, Hong Kong University of Science and Technology. Accessed March 01, 2021. http://repository.ust.hk/ir/Record/1783.1-81405 ; https://doi.org/10.14711/thesis-b1334176 ; http://repository.ust.hk/ir/bitstream/1783.1-81405/1/th_redirect.html.

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

MLA Handbook (7^th Edition):

Tian, Yuan. “Matthew effect in the market : a regression discontinuity approach.” 2014. Web. 01 Mar 2021.

Vancouver:

Tian Y. Matthew effect in the market : a regression discontinuity approach. [Internet] [Thesis]. Hong Kong University of Science and Technology; 2014. [cited 2021 Mar 01]. Available from: http://repository.ust.hk/ir/Record/1783.1-81405 ; https://doi.org/10.14711/thesis-b1334176 ; http://repository.ust.hk/ir/bitstream/1783.1-81405/1/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:

Tian Y. Matthew effect in the market : a regression discontinuity approach. [Thesis]. Hong Kong University of Science and Technology; 2014. Available from: http://repository.ust.hk/ir/Record/1783.1-81405 ; https://doi.org/10.14711/thesis-b1334176 ; http://repository.ust.hk/ir/bitstream/1783.1-81405/1/th_redirect.html

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

University of North Carolina – Greensboro

26. Zatezalo, Tanja. Generalized mixture estimators for the finite population mean.

Degree: 2016, University of North Carolina – Greensboro

URL: http://libres.uncg.edu/ir/listing.aspx?styp=ti&id=21396

► The first order approximation of the theoretical mean square error and assumption of bivariate normality are very often used for the ratio type estimators for… (more)

Subjects/Keywords: Estimation theory; Regression analysis

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

APA (6^th Edition):

Zatezalo, T. (2016). Generalized mixture estimators for the finite population mean. (Doctoral Dissertation). University of North Carolina – Greensboro. Retrieved from http://libres.uncg.edu/ir/listing.aspx?styp=ti&id=21396

Chicago Manual of Style (16^th Edition):

Zatezalo, Tanja. “Generalized mixture estimators for the finite population mean.” 2016. Doctoral Dissertation, University of North Carolina – Greensboro. Accessed March 01, 2021. http://libres.uncg.edu/ir/listing.aspx?styp=ti&id=21396.

MLA Handbook (7^th Edition):

Zatezalo, Tanja. “Generalized mixture estimators for the finite population mean.” 2016. Web. 01 Mar 2021.

Vancouver:

Zatezalo T. Generalized mixture estimators for the finite population mean. [Internet] [Doctoral dissertation]. University of North Carolina – Greensboro; 2016. [cited 2021 Mar 01]. Available from: http://libres.uncg.edu/ir/listing.aspx?styp=ti&id=21396.

Council of Science Editors:

Zatezalo T. Generalized mixture estimators for the finite population mean. [Doctoral Dissertation]. University of North Carolina – Greensboro; 2016. Available from: http://libres.uncg.edu/ir/listing.aspx?styp=ti&id=21396

Michigan State University

27. Yi, Tingting. Some inference problems for interval censored data.

Degree: PhD, Department of Statistics and Probability, 2005, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:33810

Subjects/Keywords: Regression analysis

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

APA (6^th Edition):

Yi, T. (2005). Some inference problems for interval censored data. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:33810

Chicago Manual of Style (16^th Edition):

Yi, Tingting. “Some inference problems for interval censored data.” 2005. Doctoral Dissertation, Michigan State University. Accessed March 01, 2021. http://etd.lib.msu.edu/islandora/object/etd:33810.

MLA Handbook (7^th Edition):

Yi, Tingting. “Some inference problems for interval censored data.” 2005. Web. 01 Mar 2021.

Vancouver:

Yi T. Some inference problems for interval censored data. [Internet] [Doctoral dissertation]. Michigan State University; 2005. [cited 2021 Mar 01]. Available from: http://etd.lib.msu.edu/islandora/object/etd:33810.

Council of Science Editors:

Yi T. Some inference problems for interval censored data. [Doctoral Dissertation]. Michigan State University; 2005. Available from: http://etd.lib.msu.edu/islandora/object/etd:33810

Michigan State University

28. Tracy, Ronald Loran, 1948-. Analysis of tests for two forms of specification error in linear regression analysis.

Degree: PhD, Department of Economics, 1975, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:35204

Subjects/Keywords: Regression analysis

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

APA (6^th Edition):

Tracy, Ronald Loran, 1. (1975). Analysis of tests for two forms of specification error in linear regression analysis. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:35204

Chicago Manual of Style (16^th Edition):

Tracy, Ronald Loran, 1948-. “Analysis of tests for two forms of specification error in linear regression analysis.” 1975. Doctoral Dissertation, Michigan State University. Accessed March 01, 2021. http://etd.lib.msu.edu/islandora/object/etd:35204.

MLA Handbook (7^th Edition):

Tracy, Ronald Loran, 1948-. “Analysis of tests for two forms of specification error in linear regression analysis.” 1975. Web. 01 Mar 2021.

Vancouver:

Tracy, Ronald Loran 1. Analysis of tests for two forms of specification error in linear regression analysis. [Internet] [Doctoral dissertation]. Michigan State University; 1975. [cited 2021 Mar 01]. Available from: http://etd.lib.msu.edu/islandora/object/etd:35204.

Council of Science Editors:

Tracy, Ronald Loran 1. Analysis of tests for two forms of specification error in linear regression analysis. [Doctoral Dissertation]. Michigan State University; 1975. Available from: http://etd.lib.msu.edu/islandora/object/etd:35204

Texas Tech University

29. Cook, James R. An adjustment procedure for multicollinearity in multiple regression analysis.

Degree: Business Administration, 1973, Texas Tech University

URL: http://hdl.handle.net/2346/21400

Subjects/Keywords: Regression analysis

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

APA (6^th Edition):

Cook, J. R. (1973). An adjustment procedure for multicollinearity in multiple regression analysis. (Thesis). Texas Tech University. Retrieved from http://hdl.handle.net/2346/21400

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

Chicago Manual of Style (16^th Edition):

Cook, James R. “An adjustment procedure for multicollinearity in multiple regression analysis.” 1973. Thesis, Texas Tech University. Accessed March 01, 2021. http://hdl.handle.net/2346/21400.

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

MLA Handbook (7^th Edition):

Cook, James R. “An adjustment procedure for multicollinearity in multiple regression analysis.” 1973. Web. 01 Mar 2021.

Vancouver:

Cook JR. An adjustment procedure for multicollinearity in multiple regression analysis. [Internet] [Thesis]. Texas Tech University; 1973. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/2346/21400.

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

Council of Science Editors:

Cook JR. An adjustment procedure for multicollinearity in multiple regression analysis. [Thesis]. Texas Tech University; 1973. Available from: http://hdl.handle.net/2346/21400

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

University of Hong Kong

30. Huang, Beixue. Selection of the number of components in mixture regression models by instability.

Degree: 2015, University of Hong Kong

URL: http://hdl.handle.net/10722/221109

► Mixture regression model has been proven to be a useful tool in the study of heterogeneous populations arising in many fields. An important question in… (more)

▼ Mixture regression model has been proven to be a useful tool in the study of heterogeneous populations arising in many fields. An important question in model building is the selection of the number of components, which is not only a unique problem for mixture model but also one with special challenge. Therefore, a lot of studies have been devoted to this topic and various approaches have been discussed. However, the majority emphasize the goodness of fit and do not differentiate this problem with diagnosis of other aspects of a mixture model. This thesis intends to propose a method originated from cluster analysis which offers a different perspective to the problem. The classification probability instability method based on the concept of instability is introduced to select the number of components in mixture regression models. Using crossvalidation, it estimates the instability in the posterior probabilities of the validation set under different candidate number of components and selects the one with the smallest instability. Consistency is established following the theorem in Wang (2010). To cater for the possible multilevels existing in components' structure, a stage selection scheme is devised that can detect major structures first and then minor structures. The output of such scheme can be represented by a tree diagram. Simulations are conducted to show the high accuracies of this method compared with several other information criteria methods in a number of settings. Smaller samples are also considered and two variations on the original method are examined. One is to consider only the top part of the tree diagram produced by the original method. The other is to do sampling with replacement so that the instability method is applicable in smaller samples. Simulations show that the two variations could effectively complement the original one and the different features of these methods are illustrated by examples. A real data set on the plasma beta-carotene concentration is analyzed using the proposed methods.

Subjects/Keywords: Regression analysis

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

APA (6^th Edition):

Huang, B. (2015). Selection of the number of components in mixture regression models by instability. (Thesis). University of Hong Kong. Retrieved from http://hdl.handle.net/10722/221109

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

Chicago Manual of Style (16^th Edition):

Huang, Beixue. “Selection of the number of components in mixture regression models by instability.” 2015. Thesis, University of Hong Kong. Accessed March 01, 2021. http://hdl.handle.net/10722/221109.

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

MLA Handbook (7^th Edition):

Huang, Beixue. “Selection of the number of components in mixture regression models by instability.” 2015. Web. 01 Mar 2021.

Vancouver:

Huang B. Selection of the number of components in mixture regression models by instability. [Internet] [Thesis]. University of Hong Kong; 2015. [cited 2021 Mar 01]. Available from: http://hdl.handle.net/10722/221109.

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

Council of Science Editors:

Huang B. Selection of the number of components in mixture regression models by instability. [Thesis]. University of Hong Kong; 2015. Available from: http://hdl.handle.net/10722/221109

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

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Open Access Theses and Dissertations