Complete classes of tests for regularly varying distributions |
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Authors: | Jacek P. Kowalski |
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Affiliation: | (1) TRC, Department of Applied Mathematics, University of Adelaide, 5005 Adelaide, Australia |
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Abstract: | This paper establishes essentially complete class theorems and gives conditions for admissibility of tests for parametric families of distributions having some kinds of regular variation properties. A complete treatment of topologically contiguous one-dimensional bounded and unbounded hypotheses is given. Examples of applications to well known families of distributions are presented. |
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Keywords: | Essentially complete class admissibility Bayes test regular variation |
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