# 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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Item Type: Journal Article, refereed, original work 04 Faculty of Medicine > Epidemiology, Biostatistics and Prevention Institute (EBPI) 07 Faculty of Science > Institute of Mathematics 610 Medicine & health 510 Mathematics Stein-Chen method; compound Poisson distribution; rate of convergence; reliability theory; isolated vertices; $k$-out-of-$n$; rectangular lattice English 1994 16 Nov 2009 12:41 20 Feb 2018 12:01 Institute of Mathematical Statistics 1050-5164 Hybrid https://doi.org/10.1214/aoap/1177004910 http://projecteuclid.org/euclid.aoap/1177004910

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