Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probabilistic proofs of large deviation results for sums of
  semiexponential random variables and explicit rate function at the transition   Asymptotics deviation probabilities of the sum S n = X 1 + $\times$ $\times$
$\times$ + X n of independent and identically distributed real-valued random
variables have been extensively investigated, in particular when X 1 is not
exponentially integrable. For instance, A.V. Nagaev formulated exact
asymptotics results for P(S n > x n) when x n > n 1/2 (see, [13, 14]). In this
paper, we derive rough asymptotics results (at logarithmic scale) with shorter
proofs relying on classical tools of large deviation theory and expliciting the
rate function at the transition.

1
The categories of this paper are: cs
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con