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The ``statistical experiment''-equivalence for prior distributions (Q1281116)

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scientific article; zbMATH DE number 1266794
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English
The ``statistical experiment''-equivalence for prior distributions
scientific article; zbMATH DE number 1266794

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    The ``statistical experiment''-equivalence for prior distributions (English)
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    6 April 1999
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    In the frame of Bayesian experiments as formalized by \textit{J. P. Florens}, \textit{M. Mouchart} and \textit{J. M. Rolin}, ``Elements of Bayesian Statistics''. (1990; Zbl 0697.62002), the author deals with the problem of seeking equivalent prior distributions, in the sense that they must have in common all the families of posterior distributions with respect to a given statistical experiment. It is shown that two equivalent prior distributions are necessarily mutually absolutely continuous.
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    prior equivalence
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