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Exact Bayesian variable sampling plans for the exponential distribution with progressive hybrid censoring
Abstract:From the exact distribution of the maximum likelihood estimator of the average lifetime based on progressive hybrid exponential censored sample, we derive an explicit expression for the Bayes risk of a sampling plan when a quadratic loss function is used. The simulated annealing algorithm is then used to determine the optimal sampling plan. Some optimal Bayes solutions under progressive hybrid and ordinary hybrid censoring schemes are presented to illustrate the effectiveness of the proposed method.
Keywords:Bayes risk  maximum likelihood estimation  optimal sampling plan  ordinary hybrid censoring  progressive censoring  progressive hybrid censoring
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