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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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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
Scopus Subject Areas:Physical Sciences > Theoretical Computer Science
Physical Sciences > Statistics and Probability
Physical Sciences > Computational Theory and Mathematics
Physical Sciences > Applied Mathematics
Language:English
Date:1999
Deposited On:30 Oct 2014 13:46
Last Modified:12 Jul 2024 01:39
Publisher:Cambridge University Press
ISSN:0963-5483
Additional Information:Copyright: Cambridge University Press.
OA Status:Green
Publisher DOI:https://doi.org/10.1017/S0963548399003880
Official URL:http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=46715&fileId=S0963548399003880
  • Content: Published Version