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- W2736984692 abstract "We provide a general result for bounding the difference between point probabilities of integer supported distributions and the translated Poisson distribution, a convenient alternative to the discretized normal. We illustrate our theorem in the context of the Hoeffding combinatorial central limit theorem with integer valued summands, of the number of isolated vertices in an ErdH{o}s-R'enyi random graph, and of the Curie-Weiss model of magnetism, where we provide optimal or near optimal rates of convergence in the local limit metric. In the Hoeffding example, even the discrete normal approximation bounds seem to be new. The general result follows from Stein's method, and requires a new bound on the Stein solution for the Poisson distribution, which is of general interest." @default.
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- W2736984692 date "2017-07-19" @default.
- W2736984692 modified "2023-10-16" @default.
- W2736984692 title "Error bounds in local limit theorems using Stein's method" @default.
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- W2736984692 doi "https://doi.org/10.48550/arxiv.1707.05995" @default.
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