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

  • Noor S. Al-Momani EMAIL logo und Abedel-Qader S. Al-Masri
Veröffentlicht/Copyright: 10. September 2025
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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.

MSC 2020: 90B25; 62G05; 62G35; 62G20

Acknowledgements

The authors gratefully acknowledge the constructive feedback of the anonymous reviewers and appreciate the support and encouragement of colleagues that contributed to the development of this work.

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Received: 2025-03-17
Revised: 2025-08-22
Accepted: 2025-08-22
Published Online: 2025-09-10
Published in Print: 2025-11-01

© 2025 Walter de Gruyter GmbH, Berlin/Boston

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