Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A central limit theorem for descents of a Mallows permutation and its
  inverse   This paper studies the asymptotic distribution of descents $\des(w)$ in a
permutation $w$, and its inverse, distributed according to the Mallows measure.
The Mallows measure is a non-uniform probability measure on permutations
introduced to study ranked data. Under this measure, permutations are weighted
according to the number of inversions they contain, with the weighting
controlled by a parameter $q$. The main results are a Berry-Esseen theorem for
$\des(w)+\des(w^{-1})$ as well as a joint central limit theorem for
$(\des(w),\des(w^{-1}))$ to a bivariate normal with a non-trivial correlation
depending on $q$. The proof uses Stein's method with size-bias coupling along
with a regenerative process associated to the Mallows measure.

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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an