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Optimum simple step-stress plans using reliability estimate

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  • Mohammed Al-Haj Ebrahem

Abstract

This paper presents optimum simple step-stress plans under the log-logistic cumulative exposure model. The likelihood function of the model parameters is derived, from which the Fisher information matrix and the asymptotic variance of the reliability estimate are obtained. Optimum times of changing stress level are obtained by minimizing the asymptotic variance of the reliability estimate at a specified time under normal operating condition. Confidence intervals and hypotheses tests about the model parameters have also been discussed and illustrated by an example. Copyright Sapienza Università di Roma 2012

Suggested Citation

  • Mohammed Al-Haj Ebrahem, 2012. "Optimum simple step-stress plans using reliability estimate," METRON, Springer;Sapienza Università di Roma, vol. 70(2), pages 109-120, August.
    • Handle: RePEc:spr:metron:v:70:y:2012:i:2:p:109-120
    DOI: 10.1007/BF03321969
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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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