Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On convergence of the distributions of statistics with random sample
  sizes to normal variance-mean mixtures   We prove a general transfer theorem for multivariate random sequences with
independent random indexes in the double array limit setting. We also prove its
partial inverse providing necessary and sufficient conditions for the
convergence of randomly indexed random sequences. Special attention is paid to
the case where the elements of the basic double array are formed as statistics
constructed from samples with random sizes. Under rather natural conditions we
prove the theorem on convergence of the distributions of such statistics to
normal variance-mean mixtures.

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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol