Some admissible nonparametric tests and a minimal complete class theorem

dc.contributor.advisor Glen D. Meeden Li, Seung-Chun
dc.contributor.department Statistics 2018-08-16T16:09:39.000 2020-07-02T06:16:06Z 2020-07-02T06:16:06Z Mon Jan 01 00:00:00 UTC 1990 1990
dc.description.abstract <p>The purpose of this dissertation is to demonstrate the admissibility of some well-known nonparametric tests. It is found that many standard nonparametric tests, such as Mann-Whitney-Wilcoxon test, Fisher-Yates test, Savage test, and median test, which are linear rank tests, are admissible for the two-sample nonparametric testing problem. It turns out that the admissibility of a linear rank test depends on the regression constants not the scores. We also prove that Kruskal-Wallis test is admissible for the one-way layout testing problem;This dissertation is also concerned with finding minimal complete class of statistical decision problems. A new mechanism, called extended stepwise Bayes technique which is a general version of the stepwise Bayes technique, is developed. When the parameter space [theta] is finite and the risk set is closed and bounded from below, a minimal complete class is given using the extended stepwise Bayes technique.</p>
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dc.identifier archive/
dc.identifier.articleid 10856
dc.identifier.contextkey 6371543
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath rtd/9857
dc.language.iso en
dc.source.bitstream archive/|||Sat Jan 15 02:38:37 UTC 2022
dc.subject.disciplines Statistics and Probability
dc.subject.keywords Statistics
dc.title Some admissible nonparametric tests and a minimal complete class theorem
dc.type article
dc.type.genre dissertation
dspace.entity.type Publication
relation.isOrgUnitOfPublication 264904d9-9e66-4169-8e11-034e537ddbca dissertation Doctor of Philosophy
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