Bayesian inference for Rayleigh distribution under progressive censored sample: Research Articles
Applied Stochastic Models in Business and Industry
Journal of Computational and Applied Mathematics
Generalized beta prior models on fraction defective in reliability test planning
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Computing optimal confidence sets for Pareto models under progressive censoring
Journal of Computational and Applied Mathematics
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Lifetime performance assessment is important in service (or manufacturing) industries. Hence, lifetime performance index C"L is used to measure the potential and performance of a process, where L is the lower specification limit. In this paper, assuming the conjugate prior distribution and squared-error loss function, this study constructs a Bayes estimator under the Rayleigh distribution with the progressive type II right censored sample. The Bayes estimator of C"L is then utilized to develop a credible interval in the condition of known L. Moreover, we also propose a Bayesian test to assess the lifetime performance of products. Finally, we give two examples and the Monte Carlo simulation to assess the behavior of the lifetime performance index C"L. Moreover, the purchasers can then employ the credible interval and the Bayesian test to determine whether the product performance adheres to the required level.