Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the exchangeability condition in Stein's method   We show by a surprisingly simple argument that the exchangeability condition,
which is key to the exchangeable pair approach in Stein's method for
distributional approximation, can be omitted in many standard settings. This is
achieved by replacing the usual antisymmetric function by a simpler one, for
which only equality in distribution is required. In the case of normal
approximation we also slightly improve the constants appearing in previous
results. For Poisson approximation, a different antisymmetric function is used,
and additional error terms are needed if the bound is to be extended beyond the
exchangeable setting.

12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat