Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the convergence of series of moments for row sums of random variables   Given a triangular array $\left\{X_{n,k}, \, 1 \leqslant k \leqslant n, n
\geqslant 1 \right\}$ of random variables satisfying $\mathbb{E} \lvert X_{n,k}
\rvert^{p} < \infty$ for some $p \geqslant 1$ and sequences $\{b_{n} \}$,
$\{c_{n} \}$ of positive real numbers, we shall prove that $\sum_{n=1}^\infty
c_n \mathbb{E} \left[ |\sum_{k=1}^n (X_{n,k} - \mathbb{E} \, X_{n,k})| / b_n -
\varepsilon \right]_+^p < \infty$, where $x_+ = \max(x,0)$. Our results are
announced in a general setting, allowing us to obtain the convergence of the
series in question under various types of dependence.

29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat