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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
Published by: Applied Probability Trust
Stable URL: http://www.jstor.org/stable/3214155
Page Count: 10
You can always find the topics here!Topics: Approximation, Poisson process, Random variables, Markov processes, Infinitesimals, Estimation methods, Mortality, Integrands, Mathematics
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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.
Journal of Applied Probability © 1988 Applied Probability Trust