Acceptance Sampling Plans for Truncated Life Tests Using the Marshall–Olkin Birnbaum–Saunders Distribution

Al-Momani Noor S. () and Al-Masri Abedel-Qader S. ()
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Al-Momani Noor S.: Department of Statistics, 59179 Yarmouk University , Irbid, Jordan
Al-Masri Abedel-Qader S.: Department of Statistics, 59179 Yarmouk University , Irbid, Jordan

Stochastics and Quality Control, 2025, vol. 40, issue 2, 133-141

Abstract: An acceptance sampling plan (AS) for a truncated life test is proposed based on the Marshall–Olkin Birnbaum–Saunders (MOBS) distribution. The minimum sample size required to guarantee the specified mean life is determined. Additionally, the operating characteristic function values and producer’s risk associated with the proposed sampling plans are presented. Tables summarizing the results are provided, supported by numerical examples to illustrate the findings. Finally, the proposed method is demonstrated through numerical examples and a real-life application.

Keywords: Marshall–Olkin Birnbaum–Saunders Distribution; Acceptance Sampling Plan; Probability of Acceptance; Consumer’s Risk; Producer’s Risk; Truncated Life Tests; Operating Characteristic Function; Minimum Sample Size; Statistical Quality Control; Life Test Termination; Reliability Analysis (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1515/eqc-2025-0020

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