4.2 Article

Acceptance Sampling Plans from Truncated Life Tests Based on the Birnbaum-Saunders Distribution for Percentiles

Journal

Publisher

TAYLOR & FRANCIS INC
DOI: 10.1080/03610910903350508

Keywords

Consumer's risk; Maximum likelihood estimate; Modified moment estimate; Operating characteristic curve; Producer's risk

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Time to failure due to fatigue is one of the common quality characteristics in material engineering applications. In this article, acceptance sampling plans are developed for the Birnbaum-Saunders distribution percentiles when the life test is truncated at a pre-specified time. The minimum sample size necessary to ensure the specified life percentile is obtained under a given customer's risk. The operating characteristic values (and curves) of the sampling plans as well as the producer's risk are presented. The R package named spbsq is developed to implement the developed sampling plans. Two examples with real data sets are also given as illustration.

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