Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal correlation and the rate of Fisher information convergence in
  the Central Limit Theorem   We consider the behaviour of the Fisher information of scaled sums of
independent and identically distributed random variables in the Central Limit
Theorem regime. We show how this behaviour can be related to the second-largest
non-trivial eigenvalue associated with the Hirschfeld--Gebelein--R\'{e}nyi
maximal correlation. We prove that assuming this eigenvalue satisfies a strict
inequality, an $O(1/n)$ rate of convergence and a strengthened form of
monotonicity hold.

29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con