A Bayesian Test For The Mean Of The Power Exponential Distribution

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Gómez Villegas, Miguel A. and Portela García-Miguel, Javier and Sanz San Miguel, Luis (2008) A Bayesian Test For The Mean Of The Power Exponential Distribution. Communications in statistics. Theory and methods, 37 (18). pp. 2865-2876. ISSN 0361-0926

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Official URL: https://www.tandfonline.com/doi/full/10.1080/03610920802162698




Abstract

In this article, we deal with the problem of testing a point null hypothesis for the mean of a multivariate power exponential distribution. We study the conditions under which Bayesian and frequentist approaches can match. In this comparison it is observed that the tails of the model are the key to explain the reconciliability or irreconciliability between the two approaches.


Item Type:Article
Uncontrolled Keywords:Mixed prior distributions; Multivariate point null hypothesis; Posterior probability; Power exponential distribution; p-value; Robust Bayesian analysis.
Subjects:Sciences > Mathematics > Mathematical statistics
ID Code:15906
Deposited On:12 Jul 2012 11:35
Last Modified:26 Jun 2018 06:50

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