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

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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.

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Acknowledgments

The authors would like to thank the editor in chief and referees for the valuable comments in revising this paper.

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Correspondence to N. Chandra.

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Chandra, N., Khan, M.A. & Gopal, G. Optimum quadratic step-stress accelerated life test plan for Weibull distribution under type-I censoring. Int J Syst Assur Eng Manag 8 (Suppl 2), 585–591 (2017). https://doi.org/10.1007/s13198-016-0473-8

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  • DOI: https://doi.org/10.1007/s13198-016-0473-8

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