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Wichita State University

Stochastic monotonicity of a distribution family associated with matrix projections and its applications

Abstract

This dissertation defines a distribution family based on the distribution of a random variable associated with the projections of a normally distributed random matrix with un- known mean onto a linear space and onto a closed convex cone. The stachastic monotonicity property of the distributions in the family is established. This property nds the application in the proving the unbiasedness of a likelihood ratio test in a multivariate order restricted model.

Author and committee

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Author
  • Wang, Yufei

Identifiers

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Identifier
hdl:10057/17110
OAI identifier oai:identifier
oai:soar.wichita.edu:10057/17110

Chain of custody

source
Harvested from
Wichita State University
Base URL
soar.wichita.edu/oai/request
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
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citation

Wang, Yufei. Stochastic monotonicity of a distribution family associated with matrix projections and its applications. 2019.