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VOL. 52 | 2006 Poisson process approximation: From Palm theory to Stein’s method

Abstract

This exposition explains the basic ideas of Stein’s method for Poisson random variable approximation and Poisson process approximation from the point of view of the immigration-death process and Palm theory. The latter approach also enables us to define local dependence of point processes and use it to study Poisson process approximation for locally dependent point processes and for dependent superposition of point processes.

Information

Published: 1 January 2006
First available in Project Euclid: 28 November 2007

zbMATH: 1268.60064
MathSciNet: MR2427851

Digital Object Identifier: 10.1214/074921706000001076

Subjects:
Primary: 60--02
Secondary: 60F05, 60G55

Rights: Copyright © 2006, Institute of Mathematical Statistics

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