Far East Journal of Theoretical Statistics
Volume 8, Issue 1, Pages 79 - 87
(September 2002)
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DEVELOPMENT OF MATCHING PRIORS FOR THE RATIO OF THE FAILURE
RATE IN THE BURR MODEL
Jang Sik Cho (Korea) and Sung Uk Baek (Korea)
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Abstract: In this paper we develop noninformative priors that are used
for estimating the ratio of failure rates under Burr model by Burr [Ann.
Math. Statisl. 13 (1942), 215-232]. A class of priors is
found by matching the coverage probabilities of one-sided Bayesian credible
interval with the corresponding frequentist coverage probabilities. Also, the
propriety of posterior under the noninformative priors is proved and the
frequentist coverage probabilities are investigated for small samples via
simulation study. |
Keywords and phrases: frequentist coverage probability, Jeffreys prior, matching
prior, reference prior. |
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