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Acceptance Sampling Based on Truncated Life Tests in the Birnbaum Saunders Model

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  • Ayman Baklizi
  • Abed El Qader El Masri

Abstract

We develop acceptance sampling plans assuming that the life test is truncated at a preassigned time. The lifetimes of the test units are assumed to follow the Birnbaum Saunders distribution. The minimum sample size necessary to ensure the specified average life is obtained and the operating characteristic values of the sampling plans and producer's risk are presented. An illustrative example is given.

Suggested Citation

  • Ayman Baklizi & Abed El Qader El Masri, 2004. "Acceptance Sampling Based on Truncated Life Tests in the Birnbaum Saunders Model," Risk Analysis, John Wiley & Sons, vol. 24(6), pages 1453-1457, December.
    • Handle: RePEc:wly:riskan:v:24:y:2004:i:6:p:1453-1457
    DOI: 10.1111/j.0272-4332.2004.00541.x
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    References listed on IDEAS

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    1. Achcar, Jorge Alberto, 1993. "Inferences for the Birnbaum-- Saunders fatigue life model using bayesian methods," Computational Statistics & Data Analysis, Elsevier, vol. 15(4), pages 367-380, May.
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    Cited by:

    1. Al-Nasser Amjad D. & Al-Omari Amer I. & Bani-Mustafa Ahmed & Jaber Khalifa, 2018. "Developing Single-Acceptance Sampling Plans Based On A Truncated Lifetime Test For An Ishita Distribution," Statistics in Transition New Series, Statistics Poland, vol. 19(3), pages 393-406, September.
    2. Fernández, Arturo J. & Correa-Álvarez, Cristian D. & Pericchi, Luis R., 2020. "Balancing producer and consumer risks in optimal attribute testing: A unified Bayesian/Frequentist design," European Journal of Operational Research, Elsevier, vol. 286(2), pages 576-587.
    3. Muhammad Aslam & Chi-Hyuck Jun, 2010. "A double acceptance sampling plan for generalized log-logistic distributions with known shape parameters," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(3), pages 405-414.
    4. Mahendra Saha & Harsh Tripathi & Anju Devi & Pratibha Pareek, 2024. "Applications of Reliability Test Plan for Logistic Rayleigh Distributed Quality Characteristic," Annals of Data Science, Springer, vol. 11(5), pages 1687-1703, October.
    5. D. Malathi & S. Muthulakshmi, 2017. "Economic design of acceptance sampling plans for truncated life test using Frechet distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(2), pages 376-384, January.

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