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Some reflections on and experiences with SPLIFS

  • Starting from the uniqueness question for mixtures of distributions this review centers around the question under which formally weaker assumptions one can prove the existence of SPLIFs, in other words perfect statistics and tests. We mention a couple of positive and negative results which complement the basic contribution of David Blackwell in 1980. Typically the answers depend on the choice of the set theoretic axioms and on the particular concepts of measurability.

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Author:Heinrich von Weizsäcker
URN (permanent link):urn:nbn:de:hbz:386-kluedo-7400
Document Type:Preprint
Language of publication:English
Year of Completion:1999
Year of Publication:1999
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/04/03
Source:T. S. Ferguson, L. S. Shapley, and J. B. MacQueen, eds. Statistics, probability and game theory: Papers in honor of David Blackwell (Hayward, CA: Institute of Mathematical Statistics, 1996), 391-399.
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011