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Acceptance sampling based on life tests: Log-logistic model

Author

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  • R. R. L. Kantam
  • K. Rosaiah
  • G. Srinivasa Rao

Abstract

The problem of acceptance sampling when the life test is truncated at a preassigned time is considered. For various acceptance numbers, confidence levels and values of the ratio of the fixed experimental time to the specified average life, the minimum sample size necessary to ensure the specified average life, are obtained under the assumption that the lifetime variate of the test items follows a distribution belonging to Burr's family XII of distributions - called the log-logistic model. The operating characteristic values of the sampling plans and producer's risk are presented. The results are illustrated by an example.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:japsta:v:28:y:2001:i:1:p:121-128
    DOI: 10.1080/02664760120011644
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    Citations

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    Cited by:

    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. Jose K. K. & Joseph Jeena, 2018. "Reliability Test Plan for the Gumbel-Uniform Distribution," Stochastics and Quality Control, De Gruyter, vol. 33(1), pages 71-81, June.
    3. Al-Nasser Amjad D. & Ahsan ul Haq Muhammad, 2021. "Acceptance sampling plans from a truncated life test based on the power Lomax distribution with application to manufacturing," Statistics in Transition New Series, Statistics Poland, vol. 22(3), pages 1-13, September.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. Shovan Chowdhury, 2016. "Type I Censored Acceptance Sampling Plan for the Generalized Weibull Model," Working papers 208, Indian Institute of Management Kozhikode.
    9. 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.
    10. Muhammad Aslam & Gadde Srinivasa Rao & Mohammed Albassam, 2022. "Sampling Inspection Plan to Test Daily COVID-19 Cases Using Gamma Distribution under Indeterminacy Based on Multiple Dependent Scheme," IJERPH, MDPI, vol. 19(9), pages 1-14, April.
    11. Jose K. K. & Tomy Lishamol & Thomas Sophia P., 2018. "On a Generalization of the Weibull Distribution and Its Application in Quality Control," Stochastics and Quality Control, De Gruyter, vol. 33(2), pages 113-124, December.
    12. Amer Al-Omari, 2018. "Improved acceptance sampling plans based on truncated life tests for Garima distribution," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 9(6), pages 1287-1293, December.
    13. Kantam R. R. L. & Rao A. Vasudeva & Rao G. Srinivasa, 2006. "Control Charts for the Log-Logistic Distribution," Stochastics and Quality Control, De Gruyter, vol. 21(1), pages 77-86, January.
    14. Rao G. Srinivasa & Kantam R. R. L., 2010. "Acceptance Sampling Plans from Truncated Life Tests Based on the Log-Logistic Distributions for Percentiles," Stochastics and Quality Control, De Gruyter, vol. 25(2), pages 153-167, January.
    15. Jose K. K. & Paul Albin, 2018. "Reliability Test Plans for Percentiles Based on the Harris Generalized Linear Exponential Distribution," Stochastics and Quality Control, De Gruyter, vol. 33(1), pages 61-70, June.
    16. Al-Omari Amer I. & Al-Nasser Amjad D. & Gogah Fatima & Haq Muhammad A., 2017. "On the Exponentiated Generalized Inverse Rayleigh Distribution Based on Truncated Life Tests in a Double Acceptance Sampling Plan," Stochastics and Quality Control, De Gruyter, vol. 32(1), pages 37-47, June.
    17. 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.
    18. Kapil Kumar, 2018. "Classical and Bayesian estimation in log-logistic distribution under random censoring," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 9(2), pages 440-451, April.
    19. Jose K. K. & Sivadas Remya, 2015. "Negative Binomial Marshall–Olkin Rayleigh Distribution and Its Applications," Stochastics and Quality Control, De Gruyter, vol. 30(2), pages 89-98, December.
    20. Shovan Chowdhury, 2018. "Time Truncated Acceptance Sampling Plans for Fréchet Model," Working papers 290, Indian Institute of Management Kozhikode.
    21. Wanbo Lu & Tzong-Ru Tsai, 2009. "Interval censored sampling plans for the log-logistic lifetime distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(5), pages 521-536.
    22. Al-Omari Amer I., 2016. "Acceptance Sampling Plans Based on Truncated Lifetime Tests for Transmuted Inverse Rayleigh Distribution," Stochastics and Quality Control, De Gruyter, vol. 31(2), pages 85-91, December.
    23. Muhammad Aslam & Chi-Hyuck Jun, 2009. "A group acceptance sampling plan for truncated life test having Weibull distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(9), pages 1021-1027.
    24. 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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