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March 2009 Posterior predictive arguments in favor of the Bayes-Laplace prior as the consensus prior for binomial and multinomial parameters
Richard Gerlach, Kerrie Mengersen, Frank Tuyl
Bayesian Anal. 4(1): 151-158 (March 2009). DOI: 10.1214/09-BA405

Abstract

It is argued that the posterior predictive distribution for the binomial and multinomial distributions, when viewed via a hypergeometric-like representation, suggests the uniform prior on the parameters for these models. The argument is supported by studying variations on an example by Fisher, and complements Bayes' original argument for a uniform prior predictive distribution for the binomial. The fact that both arguments lead to invariance under transformation is also discussed.

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Richard Gerlach. Kerrie Mengersen. Frank Tuyl. "Posterior predictive arguments in favor of the Bayes-Laplace prior as the consensus prior for binomial and multinomial parameters." Bayesian Anal. 4 (1) 151 - 158, March 2009. https://doi.org/10.1214/09-BA405

Information

Published: March 2009
First available in Project Euclid: 22 June 2012

zbMATH: 1330.62156
MathSciNet: MR2486242
Digital Object Identifier: 10.1214/09-BA405

Rights: Copyright © 2009 International Society for Bayesian Analysis

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Vol.4 • No. 1 • March 2009
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