Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Noninformative Priors for the Ratio of the Lognormal Means with Equal Variances

  • Lee, Seung-A (Department of Statistics, Kyungpook National University) ;
  • Kim, Dal-Ho (Department of Statistics, Kyungpook National University)
  • Published : 2007.12.31
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Abstract

We develop noninformative priors for the ratio of the lognormal means in equal variances case. The Jeffreys' prior and reference priors are derived. We find a first order matching prior and a second order matching prior. It turns out that Jeffreys' prior and all of the reference priors are first order matching priors and in particular, one-at-a-time reference prior is a second order matching prior. One-at-a-time reference prior meets very well the target coverage probabilities. We consider the bioequivalence problem. We calculate the posterior probabilities of the hypotheses and Bayes factors under Jeffreys' prior, reference prior and matching prior using a real-life example.

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References

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