A mixture model approach to empirical Bayes testing and estimation

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Abstract/Contents

Abstract
Many modern statistical problems require making similar decisions or estimates for many different entities. For example, we may ask whether each of 10,000 genes is associated with some disease, or try to measure the degree to which each is associated with the disease. As in this example, the entities can often be divided into a vast majority of "null" objects and a small minority of interesting ones. Empirical Bayes is a useful technique for such situations, but finding the right empirical Bayes method for each problem can be difficult. Mixture models, however, provide an easy and effective way to apply empirical Bayes. This thesis motivates mixture models by analyzing a simple high-dimensional problem, and shows their practical use by applying them to detecting single nucleotide polymorphisms.

Description

Type of resource text
Form electronic; electronic resource; remote
Extent 1 online resource.
Publication date 2011
Issuance monographic
Language English

Creators/Contributors

Associated with Muralidharan, Omkar
Associated with Stanford University, Department of Statistics
Primary advisor Efron, Bradley
Thesis advisor Efron, Bradley
Thesis advisor Tibshirani, Robert
Thesis advisor Zhang, Nancy R. (Nancy Ruonan)
Advisor Tibshirani, Robert
Advisor Zhang, Nancy R. (Nancy Ruonan)

Subjects

Genre Theses

Bibliographic information

Statement of responsibility Omkar Muralidharan.
Note Submitted to the Department of Statistics.
Thesis Thesis (Ph.D.)--Stanford University, 2011.
Location electronic resource

Access conditions

Copyright
© 2011 by Omkar Muralidharan
License
This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).

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