Translated Poisson approximation using exchangeable pair couplings

@inproceedings{Rllin2007TranslatedPA,
  title={Translated Poisson approximation using exchangeable pair couplings},
  author={Adrian R{\"o}llin},
  year={2007}
}
It is shown that the method of exchangeable pairs introduced by Stein (1986) 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 analysed by Rinott and Rotar (1997), obtaining the same rate of convergence, but now for a stronger metric. 
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