Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Normal approximation of Poisson functionals in Kolmogorov distance   Peccati, Sole, Taqqu, and Utzet recently combined Stein's method and
Malliavin calculus to obtain a bound for the Wasserstein distance of a Poisson
functional and a Gaussian random variable. Convergence in the Wasserstein
distance always implies convergence in the Kolmogorov distance at a possibly
weaker rate. But there are many examples of central limit theorems having the
same rate for both distances. The aim of this paper is to show this behaviour
for a large class of Poisson functionals, namely so-called U-statistics of
Poisson point processes. The technique used by Peccati et al. is modified to
establish a similar bound for the Kolmogorov distance of a Poisson functional
and a Gaussian random variable. This bound is evaluated for a U-statistic, and
it is shown that the resulting expression is up to a constant the same as it is
for the Wasserstein distance.

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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: cs
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The categories of this paper are: hep-ph