Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mills' ratio: Reciprocal convexity and functional inequalities   This note contains sufficient conditions for the probability density function
of an arbitrary continuous univariate distribution, supported on $(0,\infty),$
such that the corresponding Mills ratio to be reciprocally convex (concave). To
illustrate the applications of the main results, the reciprocal convexity
(concavity) of Mills ratio of the gamma distribution is discussed in details.

13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex