Bayesian Testing for the Equality of Two Lognormal Populations
Kyoung-Ae Moon, Im-Hee Shin, Dal-Ho Kim
Abstract
Kyoung-Ae Moon, Im-Hee Shin, Dal-Ho Kim
Abstract
We propose the Bayesian testing for the equality of two log-normal population means. Specifically we use the intrinsic Bayes factors suggested by Berger and Perichi (1996, 1998) based on the noninformative priors for the parameters. In order to investigate the usefulness of the proposed Bayesian testing procedures, we compare it with classical tests via both real data analysis and simulation.
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We propose the Bayesian testing for the equality of two log-normal population means. Specifically we use the intrinsic Bayes factors suggested by Berger and Perichi (1996, 1998) based on the noninformative priors for the parameters. In order to investigate the usefulness of the proposed Bayesian testing procedures, we compare it with classical tests via both real data analysis and simulation.
Key concepts: Prior probability, Bayesian probability, Log-normal distribution, Bayes factor, Statistics, Bayes' theorem, Econometrics, Population