Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Beyond the Efron-Buchta identities: distributional results for Poisson
  polytopes   Let $\Pi$ be a random polytope defined as the convex hull of the points of a
Poisson point process. Identities involving the moment generating function of
the measure of $\Pi$, the number of vertices of $\Pi$ and the number of
non-vertices of $\Pi$ are proven. Equivalently, identities for higher moments
of the mentioned random variables are given.
  This generalizes analogous identities for functionals of convex hulls of
i.i.d points by Efron and Buchta.

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The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: bayes-an