Asymptotic Behavior of Bayes Tests and Bayes Risk

B. R. Johnson; D. R. Truax

doi:10.1214/aos/1176342663

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Home > Journals > Ann. Statist. > Volume 2 > Issue 2 > Article

March, 1974 Asymptotic Behavior of Bayes Tests and Bayes Risk

B. R. Johnson, D. R. Truax

Ann. Statist. 2(2): 278-294 (March, 1974). DOI: 10.1214/aos/1176342663

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Abstract

In this paper the asymptotic behaviors of the Bayes test and Bayes risk are studied in both the one-sided and two-sided testing problems, where the independent observations are taken from one member of a one-parameter exponential family. Precise asymptotic expressions are found which show the Bayes procedure to be relatively insensitive to the prior distribution as the sample size increases to infinity.

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B. R. Johnson. D. R. Truax. "Asymptotic Behavior of Bayes Tests and Bayes Risk." Ann. Statist. 2 (2) 278 - 294, March, 1974. https://doi.org/10.1214/aos/1176342663