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

dc.contributor.advisorHu, Xiaomi
dc.contributor.authorWang, Yufei
dc.date.accessioned2020-02-25T17:48:14Z
dc.date.available2020-02-25T17:48:14Z
dc.date.issued2019-12
dc.descriptionThesis (Ph.D.)-- Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics and Physics
dc.description.abstractThis 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.
dc.format.extentviii, 43 pages
dc.identifier.otherd19034
dc.identifier.urihttp://hdl.handle.net/10057/17110
dc.language.isoen_US
dc.publisherWichita State University
dc.rightsCopyright 2019 by Yufei WANG All Rights Reserved
dc.subject.lcshElectronic dissertation
dc.titleStochastic monotonicity of a distribution family associated with matrix projections and its applications
dc.typeDissertation
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