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On dependent items in series in different environments

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  • Finkelstein, Maxim

Abstract

The Accelerated Life Model (ALM) and the proportional hazards (PH) model are very popular in reliability theory and applications as tools for modeling an impact of another environment on reliability characteristics of items defined for some baseline environment. These models were extensively studied for single items or systems. However, generalizations of the ALM and the PH model to the case of possibly dependent items were not considered in reliability literature as a tool for modeling the impact of environment. In this note, we suggest and discuss possible approaches for defining bivariate ALM and PH models and consider several examples.

Suggested Citation

  • Finkelstein, Maxim, 2013. "On dependent items in series in different environments," Reliability Engineering and System Safety, Elsevier, vol. 109(C), pages 119-122.
    • Handle: RePEc:eee:reensy:v:109:y:2013:i:c:p:119-122
    DOI: 10.1016/j.ress.2012.08.005
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    References listed on IDEAS

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    1. Gupta, Ramesh C. & Michalek, Joel E., 1985. "On the relationship between the proportional hazards and accelerated failure time models in survival analysis," Statistics & Probability Letters, Elsevier, vol. 3(5), pages 231-234, September.
    2. Finkelstein, M. S., 2003. "On one class of bivariate distributions," Statistics & Probability Letters, Elsevier, vol. 65(1), pages 1-6, October.
    3. René Van Dorp, J. & Mazzuchi, Thomas A., 2005. "A general Bayes weibull inference model for accelerated life testing," Reliability Engineering and System Safety, Elsevier, vol. 90(2), pages 140-147.
    4. Maxim Finkelstein, 2008. "Failure Rate Modelling for Reliability and Risk," Springer Series in Reliability Engineering, Springer, number 978-1-84800-986-8, January.
    5. Johnson, N. L. & Kotz, Samuel, 1975. "A vector multivariate hazard rate," Journal of Multivariate Analysis, Elsevier, vol. 5(1), pages 53-66, March.
    6. Elsayed, E.A. & Zhang, Hao, 2007. "Design of PH-based accelerated life testing plans under multiple-stress-type," Reliability Engineering and System Safety, Elsevier, vol. 92(3), pages 286-292.
    7. Finkelstein, Maxim, 2007. "On statistical and information-based virtual age of degrading systems," Reliability Engineering and System Safety, Elsevier, vol. 92(5), pages 676-681.
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