Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lindeberg's method for moderate deviations and random summation   We apply Lindeberg's method, invented to prove a central limit theorem, to
analyze the moderate deviations around such a central limit theorem. In
particular, we will show moderate deviation principles for martingales as well
as for random sums, in the latter situation both, in the case when the limit
distribution is Gaussian or non-Gaussian. Moreover in the Gaussian case we show
moderate deviations for random sums using bounds on cumulants, alternatively.
Finally, we also prove a large deviation principle for certain random sums.

17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci