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ε-contaminated priors in testing point null hypothesis: a procedure to determine the prior probability

✍ Scribed by Miguel A. Gómez-Villegas; Luis Sanz


Book ID
104303223
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
89 KB
Volume
47
Category
Article
ISSN
0167-7152

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✦ Synopsis


In this paper the problem of testing a point null hypothesis from the Bayesian perspective and the relation between this and the classical approach is studied. A procedure to determine the mixed prior distribution is introduced and a justiÿcation for this construction based on a measure of discrepancy is given. Then, we compare a lower bound for the posterior probability, when the prior is in the class of -contaminated distributions, of the point null hypothesis with the p-value.