{"id":{"repo_id":"wichita-thes","oai_identifier":"oai:soar.wichita.edu:10057/17110"},"canonical_url":"https://search.dev.ndltd.org/etd/wichita-thes/oai:soar.wichita.edu:10057/17110","repository":{"repo_id":"wichita-thes","name":"Wichita State University","base_url":"https://soar.wichita.edu/oai/request"},"display":{"title":"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.","abstract_html":"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.","abstract_has_math":false,"creators":["Wang, Yufei"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2019,"date_issued":"2019-12","date_published":"2019-12","updated_at":"2026-07-24T06:05:25Z","subjects":[],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["hdl:10057/17110"],"render_values":[{"text":"hdl:10057/17110","href":null,"code":true}]}]},"links":{"outbound_url":null,"outbound_label":null,"outbound_source":null},"metadata_groups":[{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.issued","label":"Date","values":["2019-12"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["hdl:10057/17110"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.other","label":"Dc Description Other","values":["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."]},{"key":"dc:title","label":"Title","values":["Stochastic monotonicity of a distribution family associated with matrix projections and its applications"]}]}],"canonical_facts":{"dc:date.issued":["2019-12"],"dc:description.other":["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."],"dc:identifier":["hdl:10057/17110"],"dc:title":["Stochastic monotonicity of a distribution family associated with matrix projections and its applications"],"dc:type":["Dissertation"]},"updated_at":"2026-07-24T06:05:25Z"}