Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Convergence of the Empirical Distribution   We develop a general technique for bounding the tail of the total variation
distance between the empirical and the true distributions over countable sets.
Our methods sharpen a deviation bound of Devroye (1983) for distributions over
finite sets, and also hold for the broader class of distributions with
countable support. We also provide some lower bounds of possible independent
interest.

6
The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat