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Computation of optimum reliability acceptance sampling plans in presence of hybrid censoring

Author

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  • Bhattacharya, Ritwik
  • Pradhan, Biswabrata
  • Dewanji, Anup

Abstract

The decision regarding acceptance or rejection of a lot of products may be considered through variables acceptance sampling plans based on suitable quality characteristics. A variables sampling plan to determine the acceptability of a lot of products based on the lifetime of the products is called reliability acceptance sampling plan (RASP). This work considers the determination of optimum RASP under cost constraint in the framework of hybrid censoring. Weibull lifetime models are considered for illustrations; however, the proposed methodology can be easily extended to any location-scale family of distributions. The proposed method is based on asymptotic results of the estimators of parameters of lifetime distribution. Hence, a Monte Carlo simulation study is conducted in order to show that the sampling plans meet the specified risks for finite sample size.

Suggested Citation

  • Bhattacharya, Ritwik & Pradhan, Biswabrata & Dewanji, Anup, 2015. "Computation of optimum reliability acceptance sampling plans in presence of hybrid censoring," Computational Statistics & Data Analysis, Elsevier, vol. 83(C), pages 91-100.
    • Handle: RePEc:eee:csdana:v:83:y:2015:i:c:p:91-100
    DOI: 10.1016/j.csda.2014.10.002
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    References listed on IDEAS

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    1. Park, Sangun & Balakrishnan, N., 2009. "On simple calculation of the Fisher information in hybrid censoring schemes," Statistics & Probability Letters, Elsevier, vol. 79(10), pages 1311-1319, May.
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    4. Seidel, Wilfried, 1997. "A possible way out of the pitfall of acceptance sampling by variables: Treating variances as unknown," Computational Statistics & Data Analysis, Elsevier, vol. 25(2), pages 207-216, July.
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    6. Rastogi, Manoj Kumar & Tripathi, Yogesh Mani, 2013. "Estimation using hybrid censored data from a two-parameter distribution with bathtub shape," Computational Statistics & Data Analysis, Elsevier, vol. 67(C), pages 268-281.
    7. R. Bhattacharya & B. Pradhan & A. Dewanji, 2014. "Optimum life testing plans in presence of hybrid censoring: A cost function approach," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 30(5), pages 519-528, September.
    8. Balakrishnan, N. & Kundu, Debasis, 2013. "Hybrid censoring: Models, inferential results and applications," Computational Statistics & Data Analysis, Elsevier, vol. 57(1), pages 166-209.
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    Cited by:

    1. Zhiao Zhao & Yong Zhang & Guanjun Liu & Jing Qiu, 2019. "Sample selection of prognostics validation test based on multi-stage Wiener process," Journal of Risk and Reliability, , vol. 233(4), pages 605-614, August.
    2. Ritwik Bhattacharya & Biswabrata Pradhan, 2017. "Computation of optimum Type-II progressively hybrid censoring schemes using variable neighborhood search algorithm," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 26(4), pages 802-821, December.
    3. Jimut Bahan Chakrabarty & Shovan Chowdhury & Soumya Roy, 2018. "Optimum Life Test Plans in Presence of Type-I Hybrid Censoring for Products Sold under General Rebate Warranty," Working papers 280, Indian Institute of Management Kozhikode.
    4. Jimut Bahan Chakrabarty & Soumya Roy & Shovan Chowdhury, 2019. "Optimum accelerated life test sampling plans for Type-I hybrid censored Weibull distributed products sold under general rebate warranty," Working papers 349, Indian Institute of Management Kozhikode.
    5. Ritwik Bhattacharya & Baidya Nath Saha & Graceila González Farías & Narayanaswamy Balakrishnan, 2020. "Multi-criteria-based optimal life-testing plans under hybrid censoring scheme," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(2), pages 430-453, June.
    6. Jimut Bahan Chakrabarty & Shovan Chowdhury & Soumya Roy, 2019. "Optimum life test plan for products sold under warranty having Type-I generalizedhybrid censored Weibull distributed lifetimes," Working papers 302, Indian Institute of Management Kozhikode.

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