Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Strong Invariance Theorem of the Tail Empirical Copula Processes   We study the behavior of bivariate empirical copula process
$\mathbb{G}_n(\cdot,\cdot)$ on pavements $[0,k_n/n]^2$ of $[0,1]^2,$ where
$k_n$ is a sequence of positive constants fulfilling some conditions. We
provide a upper bound for the strong approximation of
$\mathbb{G}_n(\cdot,\cdot)$ by a Gaussian process when $k_n/n \searrow \gamma$
as $n\rightarrow \infty,$ where $0 \leq \gamma \leq 1.$

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The categories of this paper are: hep-ph
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The categories of this paper are: econ
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
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The categories of this paper are: cs
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
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The categories of this paper are: nlin
23
The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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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: quant-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom