On designing an acceptance sampling plan for the Pareto lifetime model

Abstract

In this paper, the design of reliability sampling plans for the Pareto lifetime model under progressive Type-II right censoring is considered. Sampling plans are derived using the decision theoretic approach with a suitable loss or cost function that consists of sampling cost, rejection cost, and acceptance cost. The decision rule is based on the estimated reliability function. Plans are constructed within the Bayesian context using the natural conjugate prior. Simulations for evaluating the Bayes risk are carried out and the optimal sampling plans are reported for various sample sizes, observed number of failures and removal probabilities.

Keywords:

• Bayes risk
• cost function
• discretization
• natural conjugate prior
• Pareto distribution
• progressive censoring
• random removals
• reliability sampling plans