Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotics of summands I: square integrable independent random
  variables   This paper is part of series on self-contained papers in which a large part,
if not the full extent, of the asymptotic limit theory of summands of
independent random variables is exposed. Each paper of the series may be taken
as review exposition but specially as a complete exposition expect a few
exterior resources. For graduate students and for researchers (beginners or
advanced), any paper of the series should be considered as a basis for
constructing new results. The contents are taken from advanced books but the
organization and the proofs use more recent tools, are given in more details
and do not systematically follow previous one. Sometimes, theorems are
completed and innovated

5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th