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A double acceptance sampling plan for generalized log-logistic distributions with known shape parameters

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  • Muhammad Aslam
  • Chi-Hyuck Jun

Abstract

A double acceptance sampling plan for the truncated life test is developed assuming that the lifetime of a product follows a generalized log-logistic distribution with known shape parameters. The zero and one failure scheme is mainly considered, where the lot is accepted if no failures are observed from the first sample and it is rejected if two or more failures occur. When there is one failure from the first sample, the second sample is drawn and tested for the same duration as the first sample. The minimum sample sizes of the first and second samples are determined to ensure that the true median life is longer than the given life at the specified consumer's confidence level. The operating characteristics are analyzed according to various ratios of the true median life to the specified life. The minimum such ratios are also obtained so as to lower the producer's risk at the specified level. The results are explained with examples.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:japsta:v:37:y:2010:i:3:p:405-414
    DOI: 10.1080/02664760802698979
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    References listed on IDEAS

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    1. Rosaiah K. & Kantam R. R. L. & Kumar Santosh, 2006. "Reliability Test Plans for Exponentiated Log-Logistic Distribution," Stochastics and Quality Control, De Gruyter, vol. 21(2), pages 279-289, January.
    2. Tzong-Ru Tsai & Shuo-Jye Wu, 2006. "Acceptance sampling based on truncated life tests for generalized Rayleigh distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(6), pages 595-600.
    3. Rosaiah K. & Kantam R. R. L., 2005. "Acceptance Sampling Based on the Inverse Rayleigh Distribution," Stochastics and Quality Control, De Gruyter, vol. 20(2), pages 277-286, January.
    4. R. R. L. Kantam & K. Rosaiah & G. Srinivasa Rao, 2001. "Acceptance sampling based on life tests: Log-logistic model," Journal of Applied Statistics, Taylor & Francis Journals, vol. 28(1), pages 121-128.
    5. 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.
    6. R. R. L. Kantam & G. Srinivasa Rao & B. Sriram, 2006. "An economic reliability test plan: Log-logistic distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(3), pages 291-296.
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    Cited by:

    1. Al-Omari Amer I. & Al-Nasser Amjad D. & Gogah Fatima Salem, 2016. "Double Acceptance Sampling Plan for Time-Truncated Life Tests Based on Half Normal Distribution," Stochastics and Quality Control, De Gruyter, vol. 31(2), pages 93-99, December.
    2. Muhammad Zahir Khan & Muhammad Farid Khan & Muhammad Aslam & Abdur Razzaque Mughal, 2018. "Design of Fuzzy Sampling Plan Using the Birnbaum-Saunders Distribution," Mathematics, MDPI, vol. 7(1), pages 1-9, December.
    3. Yusra Tashkandy & Walid Emam & M. Masoom Ali & Haitham M. Yousof & Basma Ahmed, 2023. "Quality Control Testing with Experimental Practical Illustrations under the Modified Lindley Distribution Using Single, Double, and Multiple Acceptance Sampling Plans," Mathematics, MDPI, vol. 11(9), pages 1-28, May.
    4. Abdisalam Hassan Muse & Samuel M. Mwalili & Oscar Ngesa, 2021. "On the Log-Logistic Distribution and Its Generalizations: A Survey," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 10(3), pages 1-93, June.
    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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