Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regression version of the Matsumoto-Yor type characterization of the
  gamma and Kummer distributions   In this paper we study a Matsumoto-Yor type property for the gamma and Kummer
inde- pendent variables discovered in Koudou and Vallois (2012). We prove that
constancy of regressions of U = (1 + 1/(X + Y ))=(1 + 1/X) given V = X + Y and
of 1/U given V , where X and Y are indepen- dent and positive random variables,
characterizes the gamma and Kummer distributions. This result completes
characterizations by independence of U and V obtained, under smoothness
assumptions for densities, in Koudou and Vallois (2011, 2012). Since we work
with differential equations for the Laplace transforms, no density assumptions
are needed.

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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
1
The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
5
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: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin