Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dependent Lindeberg central limit theorem and some applications   In this paper, a very useful lemma (in two versions) is proved: it simplifies
notably the essential step to establish a Lindeberg central limit theorem for
dependent processes. Then, applying this lemma to weakly dependent processes
introduced in Doukhan and Louhichi (1999), a new central limit theorem is
obtained for sample mean or kernel density estimator. Moreover, by using the
subsampling, extensions under weaker assumptions of these central limit
theorems are provided. All the usual causal or non causal time series:
Gaussian, associated, linear, ARCH($\infty$), bilinear, Volterra
processes,$...$, enter this frame.

3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con