Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two multivariate central limit theorems   In this paper, explicit error bounds are derived in the approximation of rank
$k$ projections of certain $n$-dimensional random vectors by standard
$k$-dimensional Gaussian random vectors. The bounds are given in terms of $k$,
$n$, and a basis of the $k$-dimensional space onto which we project. The random
vectors considered are two generalizations of the case of a vector with
independent, identically distributed components. In the first case, the random
vector has components which are independent but need not have the same
distribution. The second case deals with finite exchangeable sequences of
random variables.

19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin