Acceptance—Rejection Criteria Based on Birnbaum–Saunders Lifetime Distribution Using Intervened Poisson Distribution

The Birnbaum–Saunders (BS) distribution is used to represent the impact of fatigue on the products produced in a continuous cycle, which is the primary quality characteristic that determines the product's failure time. This article explains the acceptance sampling plan for the BS distribution, which uses percentiles when the life test ends at a certain time, along with the intervened Poisson distribution. More specifically, this article primarily aims to determine the minimum sample size required to confirm the specified life percentile under a specific customer's risk. The operating characteristic values and the producer's risk are established.