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Complete classes of tests for regularly varying distributions
Authors:Jacek P. Kowalski
Affiliation:(1) TRC, Department of Applied Mathematics, University of Adelaide, 5005 Adelaide, Australia
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.
Keywords:Essentially complete class  admissibility  Bayes test  regular variation
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