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The failure rate in reliability: approximations and bounds

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  • Christiane Cocozza-Thivent
  • Vladimir Kalashnikov

Abstract

We consider models typical to the area of reliability, and a failure rate function for processes describing the dynamics of these models. Various approximations of the failure rate function are proposed and their accuracies are investigated. The basic case studied in the paper is a regenerative model. Some interesting particular cases (Markov, semi-Markov, etc.) are considered. All proposed estimates are stated in a tractable analytic form. This article is dedicated to the memory of Roland L. Dobrushin.

Suggested Citation

  • Christiane Cocozza-Thivent & Vladimir Kalashnikov, 1996. "The failure rate in reliability: approximations and bounds," International Journal of Stochastic Analysis, Hindawi, vol. 9, pages 1-34, January.
    • Handle: RePEc:hin:jnijsa:561390
    DOI: 10.1155/S1048953396000433
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    Cited by:

    1. Ariane Lorton & Mitra Fouladirad & Antoine Grall, 2013. "Computation of remaining useful life on a physic-based model and impact of a prognosis on the maintenance process," Journal of Risk and Reliability, , vol. 227(4), pages 434-449, August.

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