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Compound poisson approximation for dissociated random variables via Stein's method


Eichelsbacher, Peter; Roos, Malgorzata (1999). Compound poisson approximation for dissociated random variables via Stein's method. Combinatorics, Probability & Computing, 8(4):335-346.

Abstract

In the present paper we consider compound Poisson approximation by Stein's method for dissociated random variables. We present some applications to problems in system reliability. In particular, our examples have the structure of an incomplete U-statistics. We mainly apply techniques from Barbour and Utev, who gave new bounds for the solutions of the Stein equation in compound Poisson approximation in two recent papers.

Abstract

In the present paper we consider compound Poisson approximation by Stein's method for dissociated random variables. We present some applications to problems in system reliability. In particular, our examples have the structure of an incomplete U-statistics. We mainly apply techniques from Barbour and Utev, who gave new bounds for the solutions of the Stein equation in compound Poisson approximation in two recent papers.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:04 Faculty of Medicine > Epidemiology, Biostatistics and Prevention Institute (EBPI)
Dewey Decimal Classification:610 Medicine & health
Language:English
Date:1999
Deposited On:30 Oct 2014 13:46
Last Modified:05 Apr 2016 18:27
Publisher:Cambridge University Press
ISSN:0963-5483
Additional Information:Copyright: Cambridge University Press.
Publisher DOI:https://doi.org/10.1017/S0963548399003880
Official URL:http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=46715&fileId=S0963548399003880

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