Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Eigenvalues of Large Sample Covariance Matrices of Spiked Population
  Models   We consider a spiked population model, proposed by Johnstone, whose
population eigenvalues are all unit except for a few fixed eigenvalues. The
question is to determine how the sample eigenvalues depend on the non-unit
population ones when both sample size and population size become large. This
paper completely determines the almost sure limits for a general class of
samples.

36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int