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Stein's Method and Poisson Process Convergence

A. D. Barbour
Journal of Applied Probability
Vol. 25, A Celebration of Applied Probability (1988), pp. 175-184
DOI: 10.2307/3214155
Stable URL: http://www.jstor.org/stable/3214155
Page Count: 10
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Stein's Method and Poisson Process Convergence
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Abstract

Stein's method of obtaining rates of convergence, well known in normal and Poisson approximation, is considered here in the context of approximation by Poisson point processes, rather than their one-dimensional distributions. A general technique is sketched, whereby the basic ingredients necessary for the application of Stein's method may be derived, and this is applied to a simple problem in Poisson point process approximation.

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