Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Berry-Esseen bounds for functionals of independent random variables   We derive Berry-Esseen approximation bounds for general functionals of
independent random variables, based on chaos expansions methods. Our results
apply to $U$-statistics satisfying the weak assumption of decomposability in
the Hoeffding sense, and yield Kolmogorov distance bounds instead of the
Wasserstein bounds previously derived in the special case of degenerate
$U$-statistics. Linear and quadratic functionals of arbitrary sequences of
independent random variables are included as particular cases, with new fourth
moment bounds, and applications are given to Hoeffding decompositions, weighted
$U$-statistics, quadratic forms, and random subgraph weighing. In the case of
quadratic forms, our results recover and improve the bounds available in the
literature, and apply to matrices with non-empty diagonals.

36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga