Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the maximum entropy principle and the minimization of the Fisher
  information in Tsallis statistics   We give a new proof of the theorems on the maximum entropy principle in
Tsallis statistics. That is, we show that the $q$-canonical distribution
attains the maximum value of the Tsallis entropy, subject to the constraint on
the $q$-expectation value and the $q$-Gaussian distribution attains the maximum
value of the Tsallis entropy, subject to the constraint on the $q$-variance, as
applications of the nonnegativity of the Tsallis relative entropy, without
using the Lagrange multipliers method. In addition, we define a $q$-Fisher
information and then prove a $q$-Cram\'er-Rao inequality that the $q$-Gaussian
distribution with special $q$-variances attains the minimum value of the
$q$-Fisher information.

14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg