Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Likelihood ratio tests for many groups in high dimensions   In this paper we investigate the asymptotic distribution of likelihood ratio
tests in models with several groups, when the number of groups converges with
the dimension and sample size to infinity. We derive central limit theorems for
the logarithm of various test statistics and compare our results with the
approximations obtained from a central limit theorem using a two step
procedure: first consider the number of groups fixed and assume that the sample
size and dimension converge to infinity, secondly investigating the resulting
distribution if the number of groups converges to infinity.

26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom