Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Preservation of log-concavity on summation   We extend Hoggar's theorem that the sum of two independent discrete-valued
log-concave random variables is itself log-concave. We introduce conditions
under which the result still holds for dependent variables. We argue that these
conditions are natural by giving some applications. Firstly, we use our main
theorem to give simple proofs of the log-concavity of the Stirling numbers of
the second kind and of the Eulerian numbers. Secondly, we prove results
concerning the log-concavity of the sum of independent (not necessarily
log-concave) random variables.

16
The categories of this paper are: stat
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio