2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)
Stefan Felsner (ed.)
DMTCS Conference Volume AE (2005), pp. 263266
author:  Ross M. Richardson, Van H. Vu and Lei Wu 

title:  Random Inscribing Polytopes 
keywords:  random polytope, inscribing, boundary, volume, variance, central limit theorem 
abstract: 
For convex bodies
K
with
C
2
ℝ
, we provide results on the volume of random
polytopes with vertices chosen along the boundary of
d
K
which we call random inscribing polytopes.
In particular, we prove results concerning the variance and
higher moments of the volume, as well as show that the
random inscribing polytopes generated by the Poisson
process satisfy central limit theorem.

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reference:  Ross M. Richardson and Van H. Vu and Lei Wu (2005), Random Inscribing Polytopes, in 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), Stefan Felsner (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AE, pp. 263266 
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