Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounding probability of small deviation on sum of independent random
  variables: Combination of moment approach and Berry-Esseen theorem   In the context of bounding probability of small deviation, there are limited
general tools. However, such bounds have been widely applied in graph theory
and inventory management. We introduce a common approach to substantially
sharpen such inequality bounds by combining the semidefinite optimization
approach of moments problem and the Berry-Esseen theorem. As an application, we
improve the lower bound of Feige's conjecture from 0.14 to 0.1798.

1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg