Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A functional limit theorem for moving averages with weakly dependent
  heavy-tailed innovations   Recently a functional limit theorem for sums of moving averages with random
coefficients and i.i.d. heavy tailed innovations has been obtained under the
assumption that all partial sums of the series of coefficients are a.s. bounded
between zero and the sum of the series. The convergence takes place in the
space $D[0,1]$ of c\`{a}dl\`{a}g functions with the Skorohod $M_{2}$ topology.
In this article we extend this result to the case when the innovations are
weakly dependent in the sense of strong mixing and local dependence condition
$D'$.

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The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: eess