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Asymptotic distribution of some multivariate “success run” renewal processes, applied to a 2‐i.i.d. unit repairable system

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  • Doug Wiens

Abstract

If the probability of “failure” in a multivariate renewal process of the “success run” type is very small, then if certain conditions are imposed on the components of the renewals, the joint distribution of their total durations is approximately exponential with all mass along one line. This result is applied to a 2‐i.i.d. unit repairable system of the “1 out of 2:G, Cold Standby” type.

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  • Doug Wiens, 1985. "Asymptotic distribution of some multivariate “success run” renewal processes, applied to a 2‐i.i.d. unit repairable system," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 32(4), pages 589-593, November.
  • Handle: RePEc:wly:navlog:v:32:y:1985:i:4:p:589-593
    DOI: 10.1002/nav.3800320405
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