Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit rates of convergence in the multivariate CLT for nonlinear
  statistics   We investigate the multivariate central limit theorem for nonlinear
statistics by means of Stein's method and Slepian's smart path interpolation
method. Based on certain difference operators in theory of concentration
inequalities, we obtain two explicit bounds for the rate of convergence.
Applications to Rademacher functionals, the runs and quadratic forms are
provided as well.

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The categories of this paper are: supr-con
3
The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
9
The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph