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System availability behavior of some stationary dependent sequences

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  • Mathew, Angel

Abstract

We consider the system availability behavior of a one-unit repairable system when the failure and the repair times are generated by a stationary dependent sequence of random variables. We obtain the general expression for the point availability, and discuss the nature of the availability measure for two time series models: a first-order exponential moving average process and a first-order exponential autoregressive process.

Suggested Citation

  • Mathew, Angel, 2014. "System availability behavior of some stationary dependent sequences," Statistics & Probability Letters, Elsevier, vol. 84(C), pages 17-21.
    • Handle: RePEc:eee:stapro:v:84:y:2014:i:c:p:17-21
    DOI: 10.1016/j.spl.2013.09.023
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    References listed on IDEAS

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    1. Sim, C. H., 1992. "Point processes with correlated gamma interarrival times," Statistics & Probability Letters, Elsevier, vol. 15(2), pages 135-141, September.
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