Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: High-dimensional covariance matrices in elliptical distributions with
  application to spherical test   This paper discusses fluctuations of linear spectral statistics of
high-dimensional sample covariance matrices when the underlying population
follows an elliptical distribution. Such population often possesses high order
correlations among their coordinates, which have great impact on the asymptotic
behaviors of linear spectral statistics. Taking such kind of dependency into
consideration, we establish a new central limit theorem for the linear spectral
statistics in this paper for a class of elliptical populations. This general
theoretical result has wide applications and, as an example, it is then applied
to test the sphericity of elliptical populations.

34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs