Stein's Method for Compound Poisson Approximation: The Local Approach

Open Access

1 November 1994

journal article
Published by Institute of Mathematical Statistics in The Annals of Applied Probability

Vol. 4 (4) , 1177-1187
https://doi.org/10.1214/aoap/1177004910

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.

Keywords

STEIN-CHEN METHOD
COMPOUND POISSON DISTRIBUTION
RATE OF CONVERGENCE
RELIABILITY THEORY
ISOLATED VERTICES
$K$-OUT-OF-$N$
RECTANGULAR LATTICE

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