Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-22533
Barbour, A D; Chryssaphinou, Ourania; Roos, Malgorzata (1996). Compound Poisson approximation in systems reliability. Naval Research Logistics, 43(2):251-264.
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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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 04 Faculty of Medicine > Institute of Social and Preventive Medicine 07 Faculty of Science > Institute of Mathematics |
| DDC: | 610 Medicine & health 510 Mathematics |
| Language: | English |
| Date: | 1996 |
| Deposited On: | 16 Nov 2009 14:03 |
| Last Modified: | 14 Jan 2013 16:26 |
| 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] |
| Publisher DOI: | 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 |
| WoS Citation Count: | 10 |
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