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A Bayesian Analysis For The Multivariate Point Null Testing Problem

Gomez-Villegas, Miguel Angel and Main Yaque, Paloma and Sanz San Miguel, Luis (2009) A Bayesian Analysis For The Multivariate Point Null Testing Problem. Statistics, 43 (4). pp. 379-391. ISSN 0233-1888

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Abstract

A Bayesian test for the point null testing problem in the multivariate case is developed. A procedure to get the mixed distribution using the prior density is suggested. For comparisons between the Bayesian and classical approaches, lower bounds on posterior probabilities of the null hypothesis, over some reasonable classes of prior distributions, are computed and compared with the p-value of the classical test.
With our procedure, a better approximation is obtained because the p-value is in the range of the Bayesian measures
of evidence.


Item Type:Article
Uncontrolled Keywords:posterior probability; multivariate point null hypothesis; p-value; mixed prior distributions
Subjects:Sciences > Mathematics > Mathematical statistics
ID Code:15669
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