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Stochastic monotonicity of a distribution family associated with matrix projections and its applications
Wang, Yufei
Wang, Yufei
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dissertation
Adobe PDF, 311.92 KB
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2019-12
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Dissertation
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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.
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Thesis (Ph.D.)-- Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics and Physics
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Wichita State University
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Copyright 2019 by Yufei WANG
All Rights Reserved
