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November, 1994 Stein's Method for Compound Poisson Approximation: The Local Approach
Malgorzata Roos
Ann. Appl. Probab. 4(4): 1177-1187 (November, 1994). DOI: 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.

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Malgorzata Roos. "Stein's Method for Compound Poisson Approximation: The Local Approach." Ann. Appl. Probab. 4 (4) 1177 - 1187, November, 1994. https://doi.org/10.1214/aoap/1177004910

Information

Published: November, 1994
First available in Project Euclid: 19 April 2007

zbMATH: 0816.60021
MathSciNet: MR1304780
Digital Object Identifier: 10.1214/aoap/1177004910

Subjects:
Primary: 05C90
Secondary: 60C05 , 60F05 , 90B25

Keywords: $k$-out-of-$n$ , compound Poisson distribution , isolated vertices , rate of convergence , rectangular lattice , reliability theory , Stein-Chen method

Rights: Copyright © 1994 Institute of Mathematical Statistics

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