Publication: Translated Poisson approximation using exchangeable pair couplings
Translated Poisson approximation using exchangeable pair couplings
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Röllin, A. (2007). Translated Poisson approximation using exchangeable pair couplings. Annals of Applied Probability, 17(5–6), 1596–1614. https://doi.org/10.1214/105051607000000258
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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
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- Röllin, A
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Röllin, A. (2007). Translated Poisson approximation using exchangeable pair couplings. Annals of Applied Probability, 17(5–6), 1596–1614. https://doi.org/10.1214/105051607000000258
