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.

Author: Heinrich von Weizsäcker urn:nbn:de:hbz:386-kluedo-7400 Preprint English 1999 1999 Technische Universität Kaiserslautern 2000/04/03 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. Fachbereich Mathematik 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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