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A Bayesian Approach to Parameter and Reliability Estimation in the Poisson Distribution

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1 Author(s)
Canavos, George C. ; Langley Research Center, NASA, Hampton, Va. 23365.

For life testing procedures, a Bayesian analysis is developed with respect to a random intensity parameter in the Poisson distribution. Bayes estimators are derived for the Poisson parameter and the reliability function based on uniform and gamma prior distributions of that parameter. A Monte Carlo procedure is implemented to make possible an empirical mean-squared error comparison between Bayes and existing minimum variance unbiased, as well as maximum likelihood, estimators. As expected, the Bayes estimators have mean-squared errors that are appreciably smaller than those of the other two.

Published in:

Reliability, IEEE Transactions on  (Volume:R-21 ,  Issue: 1 )