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Bayesian and empirical Bayes approac...

Chen, Zhao.

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Bayesian and empirical Bayes approaches to power law process and microarray analysis.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Bayesian and empirical Bayes approaches to power law process and microarray analysis./
作者:	Chen, Zhao.
面頁冊數:	109 p.
附註:	Source: Dissertation Abstracts International, Volume: 65-07, Section: B, page: 3524.
Contained By:	Dissertation Abstracts International65-07B.
標題:	Statistics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3140218
ISBN:	0496873598

Bayesian and empirical Bayes approaches to power law process and microarray analysis.
Chen, Zhao.

Bayesian and empirical Bayes approaches to power law process and microarray analysis. - 109 p.

Source: Dissertation Abstracts International, Volume: 65-07, Section: B, page: 3524.

Thesis (Ph.D.)--University of South Florida, 2004.

In this thesis, we apply Bayes 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.

ISBN: 0496873598Subjects--Topical Terms:

517247
Statistics.

Bayesian and empirical Bayes approaches to power law process and microarray analysis.
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500 $a Source: Dissertation Abstracts International, Volume: 65-07, Section: B, page: 3524.
500 $a Major Professor: A. N. V. Rao.
502 $a Thesis (Ph.D.)--University of South Florida, 2004.
520 $a In this thesis, we apply Bayes 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.
520 $a 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.([7]). 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.
520 $a 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 (Chen, Z.[17])) and Empirical Bayes methods (EBarrays and LIMMA) are applied to obtain the results. Outputs of a typical classical method SAM and a typical Empirical Bayes Method EBarrays are discussed in detail.
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