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Progressively first-failure censored reliability sampling plans with cost constraint

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  • Wu, Shuo-Jye
  • Huang, Syuan-Rong

Abstract

In this article, reliability sampling plans are developed for the Weibull distribution when the life test is progressively first-failure censored. We use the maximum likelihood method to obtain the point estimators of the model parameters. We propose an approach to establish reliability sampling plans which minimize three different objective functions under the constraint of total cost of experiment and given consumer’s and producer’s risks. The results are tabulated for selected specifications under progressive first-failure censoring scheme, and the sensitivity analysis is also studied. A Monte Carlo simulation is performed to study the accuracy of large-sample approximation.

Suggested Citation

  • Wu, Shuo-Jye & Huang, Syuan-Rong, 2012. "Progressively first-failure censored reliability sampling plans with cost constraint," Computational Statistics & Data Analysis, Elsevier, vol. 56(6), pages 2018-2030.
    • Handle: RePEc:eee:csdana:v:56:y:2012:i:6:p:2018-2030
    DOI: 10.1016/j.csda.2011.12.008
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    References listed on IDEAS

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    1. Wu, Shuo-Jye & Kus, Coskun, 2009. "On estimation based on progressive first-failure-censored sampling," Computational Statistics & Data Analysis, Elsevier, vol. 53(10), pages 3659-3670, August.
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    3. Uditha Balasooriya & Sutaip L. C. Saw, 1998. "Reliability sampling plans for the two-parameter exponential distribution under progressive censoring," Journal of Applied Statistics, Taylor & Francis Journals, vol. 25(5), pages 707-714, June.
    4. Cramer, Erhard & Schmiedt, Anja Bettina, 2011. "Progressively Type-II censored competing risks data from Lomax distributions," Computational Statistics & Data Analysis, Elsevier, vol. 55(3), pages 1285-1303, March.
    5. Arturo Fernandez, 2005. "Progressively censored variables sampling plans for two-parameter exponential distributions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(8), pages 823-829.
    6. Chen, D.G. & Lio, Y.L., 2010. "Parameter estimations for generalized exponential distribution under progressive type-I interval censoring," Computational Statistics & Data Analysis, Elsevier, vol. 54(6), pages 1581-1591, June.
    7. Siu-Keung Tse & Chunyan Yang, 2003. "Reliability sampling plans for the Weibull distribution under Type II progressive censoring with binomial removals," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(6), pages 709-718.
    8. Pareek, Bhuvanesh & Kundu, Debasis & Kumar, Sumit, 2009. "On progressively censored competing risks data for Weibull distributions," Computational Statistics & Data Analysis, Elsevier, vol. 53(12), pages 4083-4094, October.
    9. Balakrishnan, N. & Burkschat, Marco & Cramer, Erhard & Hofmann, Glenn, 2008. "Fisher information based progressive censoring plans," Computational Statistics & Data Analysis, Elsevier, vol. 53(2), pages 366-380, December.
    10. Shuo-Jye Wu & Syuan-Rong Huang, 2010. "Optimal progressive group-censoring plans for exponential distribution in presence of cost constraint," Statistical Papers, Springer, vol. 51(2), pages 431-443, June.
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    Cited by:

    1. Abdullah Fathi & Al-Wageh A. Farghal & Ahmed A. Soliman, 2022. "Bayesian and Non-Bayesian Inference for Weibull Inverted Exponential Model under Progressive First-Failure Censoring Data," Mathematics, MDPI, vol. 10(10), pages 1-19, May.
    2. 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.
    3. Maram Salem & Zeinab Amin & Moshira Ismail, 2020. "Progressively Censored Reliability Sampling Plans Based on Mean Product Lifetime," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 82(1), pages 1-33, May.
    4. Sukhdev Singh & Yogesh Tripathi, 2015. "Reliability sampling plans for a lognormal distribution under progressive first-failure censoring with cost constraint," Statistical Papers, Springer, vol. 56(3), pages 773-817, August.

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