Noninformative Priors for the Coefficient of Variation in Two Inverse Gaussian Distributions

- Journal title : Communications for Statistical Applications and Methods
- Volume 15, Issue 3, 2008, pp.429-440
- Publisher : The Korean Statistical Society
- DOI : 10.5351/CKSS.2008.15.3.429

Title & Authors

Noninformative Priors for the Coefficient of Variation in Two Inverse Gaussian Distributions

Kang, Sang-Gil; Kim, Dal-Ho; Lee, Woo-Dong;

Kang, Sang-Gil; Kim, Dal-Ho; Lee, Woo-Dong;

Abstract

In this paper, we develop the noninformative priors when the parameter of interest is the common coefficient of variation in two inverse Gaussian distributions. We want to develop the first and second order probability matching priors. But we prove that the second order probability matching prior does not exist. It turns out that the one-at-a-time and two group reference priors satisfy the first order matching criterion but Jeffreys' prior does not. The Bayesian credible intervals based on the one-at-a-time reference prior meet the frequentist target coverage probabilities much better than that of Jeffreys' prior. Some simulations are given.

Keywords

Coefficient of variation;inverse Gaussian distribution;probability matching prior;reference prior;

Language

English

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