Progressively censored reliability sampling plans based on mean product lifetime. (English) Zbl 1476.62207
The paper puts forward a design of reliability sampling plans with a Weibull lifetime model based on progressive Type-II censoring in the presence of binomial removals. The Bayes estimator of the mean product lifetime is used for quality assessment. This is done using the Metropolis-under-Gibbs approach under the assumption of two types of loss, i.e. MSE and LINEX. A cost function to determine the Bayes risk and the optimal sampling plan is presented, which includes the sampling, testing time, acceptation and rejection costs. Simulation studies and the application on a real-world data set are performed in the experimental part of the paper.
Reviewer: Ruxandra Stoean (Craiova)
MSC:
| 62N01 | Censored data models |
| 62N05 | Reliability and life testing |
| 62N02 | Estimation in survival analysis and censored data |
| 62C10 | Bayesian problems; characterization of Bayes procedures |
| 62P30 | Applications of statistics in engineering and industry; control charts |
Keywords:
Bayesian decision theory; Metropolis-within-Gibbs algorithm; progressive type-II censoring; reliability sampling plans; sensitivity analysis; Weibull distributionReferences:
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