Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Consistency of the $\alpha$-trimming of a probability. Applications to
  central regions   The sequence of $\alpha$-trimmings of empirical probabilities is shown to
converge, in the Painlev\'{e}--Kuratowski sense, on the class of probability
measures endowed with the weak topology, to the $\alpha$-trimming of the
population probability. Such a result is applied to the study of the asymptotic
behaviour of central regions based on the trimming of a probability.

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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg