An empirical bayes estimator for the scale parameter of the two‐parameter weibull distribution

G. Kemble Bennett and H. F. Martz

Naval Research Logistics Quarterly, 1973, vol. 20, issue 3, 387-393

Abstract: An empirical Bayes estimator is given for the scale parameter in the two‐parameter Weibull distribution. The scale parameter is assumed to vary randomly throughout a sequence of experiments according to a common, but unknown, prior distribution. The shape parameter is assumed to be known, however, it may be different in each experiment. The estimator is obtained by means of a continuous approximation to the unknown prior density function. Results from Monte Carlo simulation are reported which show that the estimator has smaller mean‐squared errors than the usual maximum‐likelihood estimator.

Date: 1973
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Persistent link: https://EconPapers.repec.org/RePEc:wly:navlog:v:20:y:1973:i:3:p:387-393

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