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

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.

Grantor dc:publisher

Wichita State University

Year dc:date.issued

2019

Author dc:creator

• Wang, Yufei

Advisor dc:contributor.advisor

• Hu, Xiaomi

Statement dc:rights

• Copyright 2019 by Yufei WANG All Rights Reserved

Language dc:language.iso

en_US

Dc Identifier Other

d19034

OAI record oai:identifier

https://soar.wichita.edu/oai/request?verb=GetRecord&metadataPrefix=dim&identifier=oai%3Anull%3A10057%2F17110