On the uniqueness of probability matching priors

A-M Staicu, N Reid

Research output: Non-textual formWeb publication/site

Abstract

Probability matching priors are priors for which Bayesian and frequentist inference, in the form of posterior quantiles, or confidence intervals, agree to some order of approximation. These priors are constructed by solving a first order partial differential equation, that may be difficult to solve. However, Peers (1965) and Tibshirani (1989) showed that under parameter orthogonality a family of matching priors can be obtained. The present work shows that, when used in a third order approximation to the posterior marginal density, the Peers-Tibshirani class of matching priors is essentially unique.
Translated title of the contributionOn the uniqueness of probability matching priors
Original languageEnglish
Publication statusPublished - 17 Sep 2007

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  • On the uniqueness of probability matching priors

    Staicu, A-M. & Reid, N., 2007.

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