Bayesian acceptance sampling plan for simple step-stress model

• Published in: Communications in statistics. Simulation and computation Vol. 53; no. 12; pp. 6411 - 6431
• Main Authors: Prajapati, Deepak, Kundu, Debasis
• Format: Journal Article
• Language: English
• Published: Philadelphia Taylor & Francis 01.12.2024; Taylor & Francis Ltd
• Subjects: Acceptance; Bayes decision function; Bayes risk; Bayesian analysis; Bayesian sampling plan; Random stress-change time; Sampling
• ISSN: 0361-0918; 1532-4141
• DOI: 10.1080/03610918.2023.2234664

This paper presents a Bayesian acceptance sampling plan for simple step-stress life testing model, when the stress changing time is random, and the experimental units are subject to Type-II censoring. It is assumed that the lifetime distribution of the experimental item is exponential at each stress level with different scale parameters. We first present the Bayes decision function under a specified loss function. Based on the Bayes decision function, the optimal Bayesian sampling plan is determined by minimizing the Bayes risk. We also present some optimal Bayesian sampling plan under specific cases. We further provide order restricted optimal Bayesian sampling plan also. The Bayesian sampling plans presented in this paper are quite beneficial when the experimental items are highly reliable, which is quite common in present days.