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Irreconcilability of P-value and Bayesian measure in two-sided hypothesis: Pareto distribution with the presence of nuisance parameter

Rahim Chinipardaz and Khadijeh Mehri

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 8, 2438-2449

Abstract: This article is concerned with the comparison of Bayesian and classical testing of a point null hypothesis for the Pareto distribution when there is a nuisance parameter. In the first stage, using a fixed prior distribution, the posterior probability is obtained and compared with the P-value. In the second case, lower bounds of the posterior probability of H0, under a reasonable class of prior distributions, are compared with the P-value. It has been shown that even in the presence of nuisance parameters for the model, these two approaches can lead to different results in statistical inference.

Date: 2016
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DOI: 10.1080/03610926.2014.881495

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