Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniform Limit Theorem and tail estimates for parametric u-statistics   We deduce in this paper the sufficient conditions for weak convergence of
centered and normed deviation of the u-statistics with values in the space of
the real valued continuous function defined on some compact metric space.
  We obtain also a non-asymptotic and non-improvable up to multiplicative
constant moment and exponential tail estimates for distribution for the uniform
norm of centered and naturally normed deviation of u-statistics by means of its
martingale representation.
  Our results are formulated in a very popular and natural terms of metric
entropy in the distance (distances) generated by the introduced random
processes (fields).

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The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph