Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic normality for random polytopes in non-Euclidean geometries   Asymptotic normality for the natural volume measure of random polytopes
generated by random points distributed uniformly in a convex body in spherical
or hyperbolic spaces is proved. Also the case of Hilbert geometries is treated
and central limit theorems in Lutwak's dual Brunn--Minkowski theory are
established. The results follow from a central limit theorem for weighted
random polytopes in Euclidean spaces. In the background are Stein's method for
normal approximation and geometric properties of weighted floating bodies.

16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
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The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci