Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774603 | Journal of Mathematical Analysis and Applications | 2017 | 14 Pages |
Abstract
Let X1,â¦,Xn be independent random points that are distributed according to a probability measure on Rd and let Pn be the random convex hull generated by X1,â¦,Xn (nâ¥d+1). For natural classes of probability distributions and by means of Blaschke-Petkantschin formulae from integral geometry it is shown that the mean facet number of Pn is strictly monotonically increasing in n.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Gilles Bonnet, Julian Grote, Daniel Temesvari, Christoph Thäle, Nicola Turchi, Florian Wespi,