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October 2007 Translated Poisson approximation using exchangeable pair couplings
Adrian Röllin
Ann. Appl. Probab. 17(5-6): 1596-1614 (October 2007). DOI: 10.1214/105051607000000258

Abstract

It is shown that the method of exchangeable pairs introduced by Stein [Approximate Computation of Expectations (1986) IMS, Hayward, CA] for normal approximation can effectively be used for translated Poisson approximation. Introducing an additional smoothness condition, one can obtain approximation results in total variation and also in a local limit metric. The result is applied, in particular, to the anti-voter model on finite graphs as analyzed by Rinott and Rotar [Ann. Appl. Probab. 7 (1997) 1080–1105], obtaining the same rate of convergence, but now for a stronger metric.

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Adrian Röllin. "Translated Poisson approximation using exchangeable pair couplings." Ann. Appl. Probab. 17 (5-6) 1596 - 1614, October 2007. https://doi.org/10.1214/105051607000000258

Information

Published: October 2007
First available in Project Euclid: 3 October 2007

zbMATH: 1143.60020
MathSciNet: MR2358635
Digital Object Identifier: 10.1214/105051607000000258

Subjects:
Primary: 60F05
Secondary: 60K35, 62E20

Rights: Copyright © 2007 Institute of Mathematical Statistics

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Vol.17 • No. 5-6 • October 2007
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