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Invariante Markoff-Kerne und der Vergleich von Translationsexperimenten

Invariant Markov Kernels and the comparison of translation experiments

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Abstract

LetX andY be two experiments invariant with respect to an amenable measureable group. By a theorem of C. Boll which is proved with the help of a well-known fixed point theorem, the decision theoretical comparison relationX ≻Y introduced by LeCam can be characterized in terms of invariant Markov kernels. Applying this result to translation (invariant) experiments one obtains, an explicit analysis of the comparison relationship in the special case of Gaussian experiments.

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Authors and Affiliations

  1. Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, D-7400, Tübingen 1, Bundesrepublik Deutschland

    H. Heyer

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  1. H. Heyer
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Herrn Prof. Dr. L. Schmetterer zum 60. Geburtstag gewidmet

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Heyer, H. Invariante Markoff-Kerne und der Vergleich von Translationsexperimenten. Monatshefte für Mathematik 88, 123–135 (1979). https://doi.org/10.1007/BF01319099

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  • DOI: https://doi.org/10.1007/BF01319099

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