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Stein's method for compound Poisson approximation: The local approach


Roos, Malgorzata (1994). Stein's method for compound Poisson approximation: The local approach. Annals of Applied Probability, 4(4):1177-1187.

Abstract

In the present paper, compound Poisson approximation by Stein's method is considered. A general theorem analogous to the local approach for Poisson approximation is proved. It is then applied to a reliability problem involving the number of isolated vertices in the rectangular lattice on the torus.

Abstract

In the present paper, compound Poisson approximation by Stein's method is considered. A general theorem analogous to the local approach for Poisson approximation is proved. It is then applied to a reliability problem involving the number of isolated vertices in the rectangular lattice on the torus.

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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)
07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:610 Medicine & health
510 Mathematics
Uncontrolled Keywords:Stein-Chen method, compound Poisson distribution, rate of convergence, reliability theory, isolated vertices, $k$-out-of-$n$, rectangular lattice
Language:English
Date:1994
Deposited On:16 Nov 2009 12:41
Last Modified:20 Feb 2018 12:01
Publisher:Institute of Mathematical Statistics
ISSN:1050-5164
OA Status:Hybrid
Publisher DOI:https://doi.org/10.1214/aoap/1177004910
Official URL:http://projecteuclid.org/euclid.aoap/1177004910

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