Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New inequalities of Mill's ratio and Its Application to The Inverse
  Q-function Approximation   In this paper, we investigate the Mill's ratio estimation problem and get two
new inequalities. Compared to the well known results obtained by Gordon, they
becomes tighter. Furthermore, we also discuss the inverse Q-function
approximation problem and present some useful results on the inverse solution.
Numerical results confirm the validness of our theoretical analysis. In
addition, we also present a conjecture on the bounds of inverse solution on
Q-function.

12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess