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Bayesian Reliability Estimation of a Two-parameter Cauchy Distribution

✍ Scribed by Dr. H. A. Howlader; G. Weiss

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
379 KB
Volume
30
Category
Article
ISSN
0323-3847

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✦ Synopsis

This paper givea 811 approximate Bay-procedure for the estimation of the reliability function of a two-parameter Cauchy distribution using Jeffreys' non-informative prior with a squared-error loss function, and with a log-odds ratio equared-error loss function. Bawd on a Monte Carlo simulation study, two such Bayes estimators of the reliability are compared with the maximum likelihood estimator.

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## Abstract This note considers the optimal and suboptimal sequential and fixed sample size estimation of the unknown binomial parameter, __p__, for a beta prior distribution for __p__ and under quadratic loss and constant observation cost. A numerical comparison of the methods is presented.