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Optimum quadratic step-stress accelerated life test plan for Weibull distribution under type-I censoring

Author

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  • N. Chandra

    (Pondicherry University)

  • Mashroor Ahmad Khan

    (Pondicherry University)

  • G. Gopal

    (Madras School of Economics)

Abstract

This paper presents the optimum stress changing times for 3-step, step stress accelerated life testing under the cumulative exposure model with type-I censoring. The lifetimes of test units are assumed to follow Weibull distribution. The scale parameter of the Weibull failure time at constant stress level is assumed to be a log-quadratic function of the stress level. We derive an optimum test plans to minimize the asymptotic variance of maximum likelihood estimator of given pth percentile of the distribution at a design stress. The optimum test plan based on simulated observations is illustrated through a numerical example. The maximum likelihood estimates and asymptotic interval estimates are obtained using R software.

Suggested Citation

  • N. Chandra & Mashroor Ahmad Khan & G. Gopal, 2017. "Optimum quadratic step-stress accelerated life test plan for Weibull distribution under type-I 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. 8(2), pages 585-591, November.
    • Handle: RePEc:spr:ijsaem:v:8:y:2017:i:2:d:10.1007_s13198-016-0473-8
    DOI: 10.1007/s13198-016-0473-8
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    References listed on IDEAS

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    1. Mohammed Al-Haj Ebrahem & Abedel-Qader Al-Masri, 2009. "Optimum quadratic three-step stress plans for log-logistic distribution," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 243-255.
    2. Mohammed Al-Haj Ebrahem & Abedel-Qader Al-Masri, 2007. "Optimum simple step-stress plan for log-logistic cumulative exposure model," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 23-34.
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    Cited by:

    1. E. M. Almetwally & H. M. Almongy & M. K. Rastogi & M. Ibrahim, 2020. "Maximum Product Spacing Estimation of Weibull Distribution Under Adaptive Type-II Progressive Censoring Schemes," Annals of Data Science, Springer, vol. 7(2), pages 257-279, June.

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