Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Functional central limit theorems for random vectors under sub-linear
  expectations   The central limit theorem of martingales is the fundamental tool for studying
the convergence of stochastic processes. The central limit theorem and
functional central limit theorem are obtained for martingale like random
variables under the sub-linear expectation by Zhang (2019). In this paper, we
consider the multi-dimensional martingale like random vectors and establish a
functional central limit theorem. As applications, the Lindeberg central limit
theorem for independent random vectors is established, and the sufficient and
necessary conditions of the central limit theorem for independent and
identically distributed random vectors are obtained.

9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex