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Intrinsic priors for testing exponential means

Seong W. Kim

Statistics & Probability Letters, 2000, vol. 46, issue 2, 195-201

Abstract: In Bayesian model selection or testing problems of different dimensions, one cannot utilize standard or default noninformative priors, since these priors are typically improper and are defined only up to arbitrary constants. The resulting Bayes factors are not well defined. A recently proposed model selection criterion called the intrinsic Bayes factor, overcomes such problems by using a data-splitting idea. Furthermore, the intrinsic Bayes factors are asymptotically equal to the ordinary Bayes factors computed by some reasonable proper priors called intrinsic priors. Several intrinsic priors are derived for testing the equality of two independent exponential means. We demonstrate our results with a simulated dataset.

Keywords: Intrinsic; Bayes; factor; Intrinsic; priors; Jeffreys's; priors; Noninformative; priors (search for similar items in EconPapers)
Date: 2000
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