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Noninformative priors for the common shape parameter of several inverse Gaussian distributions

  • Kang, Sang Gil ;
  • Kim, Dal Ho ;
  • Lee, Woo Dong
  • Received : 2014.11.02
  • Accepted : 2014.12.26
  • Published : 2015.01.31

Abstract

In this paper, we develop the noninformative priors for the common shape parameter of several inverse Gaussian distributions. Specially, we want to develop noninformative priors which satisfy certain objective criterion. The probability matching priors and reference priors of the common shape parameter will be developed. It turns out that the second order matching prior does not exist. The reference priors satisfy the first order matching criterion, but Jeffrey's prior is not the first order matching prior. We showed that the proposed reference prior matches the target coverage probabilities in a frequentist sense through simulation study, and an example based on real data is given.

Keywords

Inverse Gaussian distribution;matching prior;reference prior;shape parameter

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Cited by

  1. Bayesian testing for the homogeneity of the shape parameters of several inverse Gaussian distributions vol.27, pp.3, 2016, https://doi.org/10.7465/jkdi.2016.27.3.835