Monotonicity of facet numbers of random convex hulls

G. Bonnet*, J. Grote, D. Temesvari, C. Thäle, N. Turchi, F. Wespi

*Corresponding author voor dit werk

OnderzoeksoutputAcademicpeer review

12 Citaten (Scopus)

Samenvatting

Let be independent random points that are distributed according to a probability measure on and let be the random convex hull generated by (). 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 is strictly monotonically increasing in n.
Originele taal-2English
Pagina's (van-tot) 1351-1364
Aantal pagina's13
TijdschriftJournal of Mathematical Analysis and Applications
Volume455
DOI's
StatusPublished - 15-nov.-2017
Extern gepubliceerdJa

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