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Compound Poisson approximation in systems reliability

Barbour, A D; Chryssaphinou, Ourania; Roos, Malgorzata (1996). Compound Poisson approximation in systems reliability. Naval Research Logistics, 43(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.

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:04 Faculty of Medicine > Epidemiology, Biostatistics and Prevention Institute (EBPI)
07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:610 Medicine & health
510 Mathematics
Scopus Subject Areas:Physical Sciences > Modeling and Simulation
Physical Sciences > Ocean Engineering
Social Sciences & Humanities > Management Science and Operations Research
Language:English
Date:1996
Deposited On:16 Nov 2009 13:03
Last Modified:03 Nov 2024 02:37
Publisher:Wiley-Blackwell
ISSN:0894-069X
Funders:Schweizerischer National Fonds; Grant Number: 20-31262.91
Additional Information:The attached file is a preprint (accepted version) of an article published in [Naval Res. Logist. 43 (1996), no. 2, 251--264]
OA Status:Green
Publisher DOI:https://doi.org/10.1002/(SICI)1520-6750(199603)43:2<251::AID-NAV6>3.0.CO;2-9
Related URLs:http://www.ams.org/mathscinet-getitem?mr=97b:60149
Project Information:
  • Funder: SNSF
  • Grant ID:
  • Project Title: Schweizerischer National Fonds; Grant Number: 20-31262.91

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