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Planning step-stress test plans under Type-I hybrid censoring for the log-location-scale distribution

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  • Chien-Tai Lin

    (Tamkang University)

  • Cheng-Chieh Chou

    (Tamkang University)

  • N. Balakrishnan

    (McMaster University)

Abstract

The optimal design of a k-level step-stress accelerated life-testing (ALT) experiment with unequal duration steps under Type-I hybrid censoring scheme for a general log-location-scale lifetime distribution is discussed here. Censoring is allowed only at the change-stress point in the final stage. Based on the cumulative exposure model, the determination of the optimal choice for Weibull, lognormal and log-logistic lifetime distributions are considered by minimization of the asymptotic variance of the maximum likelihood estimate of the pth percentile of the lifetime at the normal operating condition. Numerical results show that for these lifetime distributions, the optimal k-step-stress ALT design with unequal duration steps under Type-I hybrid censoring scheme reduces just to a 2-step-stress ALT design.

Suggested Citation

  • Chien-Tai Lin & Cheng-Chieh Chou & N. Balakrishnan, 2020. "Planning step-stress test plans under Type-I hybrid censoring for the log-location-scale distribution," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 29(2), pages 265-288, June.
    • Handle: RePEc:spr:stmapp:v:29:y:2020:i:2:d:10.1007_s10260-019-00476-8
    DOI: 10.1007/s10260-019-00476-8
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    References listed on IDEAS

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    1. Balakrishnan, N. & Kundu, Debasis, 2013. "Hybrid censoring: Models, inferential results and applications," Computational Statistics & Data Analysis, Elsevier, vol. 57(1), pages 166-209.
    2. Shuo‐Jye Wu & Ying‐Po Lin & Yi‐Ju Chen, 2006. "Planning step‐stress life test with progressively type I group‐censored exponential data," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 60(1), pages 46-56, February.
    3. Do Sun Bai & Myung Soo Kim, 1993. "Optimum simple step‐stress accelerated life tests for weibull distribution and type I censoring," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(2), pages 193-210, March.
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    Cited by:

    1. Mao Song & Liu Bin & Shi Yimin, 2021. "Statistical Inference for a Simple Step Stress Model with Competing Risks Based on Generalized Type-I Hybrid Censoring," Journal of Systems Science and Information, De Gruyter, vol. 9(5), pages 533-548, October.

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