Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A concavity property for the reciprocal of Fisher information and its
  consequences on Costa's EPI   We prove that the reciprocal of Fisher information of a log-concave
probability density $X$ in ${\bf{R}}^n$ is concave in $t$ with respect to the
addition of a Gaussian noise $Z_t = N(0, tI_n)$. As a byproduct of this result
we show that the third derivative of the entropy power of a log-concave
probability density $X$ in ${\bf{R}}^n$ is nonnegative in $t$ with respect to
the addition of a Gaussian noise $Z_t$. For log-concave densities this improves
the well-known Costa's concavity property of the entropy power.

37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg