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Time truncated acceptance sampling plans for generalized exponential distribution

Author

Listed:
  • Muhammad Aslam
  • Debasis Kundu
  • Munir Ahmad

Abstract

Acceptance sampling plans for generalized exponential distribution when the lifetime experiment is truncated at a pre-determined time are provided in this article. The tables are provided for the minimum sample size required to ensure a certain median life of the experimental unit when the shape parameter is two. The operating characteristic function values of the sampling plans and the associated producer's risks are also presented. It is shown that the tables presented here can be used if instead of median life, other percentile life is chosen as the criterion or if the shape parameter is not two. Examples are provided for illustrative purposes.

Suggested Citation

  • Muhammad Aslam & Debasis Kundu & Munir Ahmad, 2010. "Time truncated acceptance sampling plans for generalized exponential distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(4), pages 555-566.
    • Handle: RePEc:taf:japsta:v:37:y:2010:i:4:p:555-566
    DOI: 10.1080/02664760902769787
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    Citations

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    Cited by:

    1. Lemonte, Artur J., 2013. "A new exponential-type distribution with constant, decreasing, increasing, upside-down bathtub and bathtub-shaped failure rate function," Computational Statistics & Data Analysis, Elsevier, vol. 62(C), pages 149-170.
    2. Saralees Nadarajah, 2011. "The exponentiated exponential distribution: a survey," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 95(3), pages 219-251, September.
    3. Shovan Chowdhury, 2016. "Type I Censored Acceptance Sampling Plan for the Generalized Weibull Model," Working papers 208, Indian Institute of Management Kozhikode.
    4. Korkmaz Mustafa Ç. & Yousof Haitham M., 2017. "The One-Parameter Odd Lindley Exponential Model: Mathematical Properties and Applications," Stochastics and Quality Control, De Gruyter, vol. 32(1), pages 25-35, June.
    5. 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.
    6. Shovan Chowdhury, 2018. "Time Truncated Acceptance Sampling Plans for Fréchet Model," Working papers 290, Indian Institute of Management Kozhikode.
    7. Harsh Tripathi & Mahendra Saha & Vishal Alha, 2022. "An Application of Time Truncated Single Acceptance Sampling Inspection Plan Based on Generalized Half-Normal Distribution," Annals of Data Science, Springer, vol. 9(6), pages 1243-1255, December.
    8. Harsh Tripathi & Mahendra Saha & Sanku Dey, 2022. "A new approach of time truncated chain sampling inspection plan and its applications," 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. 13(5), pages 2307-2326, October.
    9. Ji Hwan Cha & F. G. Badía, 2021. "Variables acceptance reliability sampling plan based on degradation test," Statistical Papers, Springer, vol. 62(5), pages 2227-2245, October.

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