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Asymptotic reliability of a linearly connected system with an infinite number of components

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  • Costa Bueno, Vanderlei da

Abstract

Many large engineering systems can be viewed as linearly connected systems imbedded into non-homogeneous Markov chains. In order to analyse asymptotic reliability for such systems we cannot apply the standard ergodic methods. In this paper we formulate a general structure for a linearly connected system and apply martingale methods to get asymptotic results.

Suggested Citation

  • Costa Bueno, Vanderlei da, 2000. "Asymptotic reliability of a linearly connected system with an infinite number of components," Statistics & Probability Letters, Elsevier, vol. 50(1), pages 55-62, October.
    • Handle: RePEc:eee:stapro:v:50:y:2000:i:1:p:55-62
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    References listed on IDEAS

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    1. M. Chao & James Fu, 1989. "A limit theorem of certain repairable systems," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 41(4), pages 809-818, December.
    2. Fu, James C. & Lou, W. Y., 1991. "On reliabilities of certain large linearly connected engineering systems," Statistics & Probability Letters, Elsevier, vol. 12(4), pages 291-296, October.
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