Compound poisson approximation in systems reliability

A. D. Barbour, Ourania Chryssaphinou and Malgorzata Roos

Naval Research Logistics (NRL), 1996, vol. 43, issue 2, 251-264

Abstract: The compound Poisson “local” formulation of the Stein‐Chen method is applied to problems in reliability theory. Bounds for the accuracy of the approximation of the reliability by an appropriate compound Poisson distribution are derived under fairly general conditions, and are applied to consecutive‐2 and connected‐s systems, and the 2‐dimensional consecutive‐k‐out‐ofn system, together with a pipeline model. The approximations are usually better than the Poisson “local” approach would give. © 1996 John Wiley & Sons, Inc.

Date: 1996
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https://doi.org/10.1002/(SICI)1520-6750(199603)43:23.0.CO;2-9

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Persistent link: https://EconPapers.repec.org/RePEc:wly:navres:v:43:y:1996:i:2:p:251-264

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