Abstract
We consider the convex hull of a sample of n randomly placed points in a unit circle. Obviously not all of the n points are needed to construct the convex hull. We show that asymptotically only the points belonging to a certain ring are used for the convex hull, where the size of the ring decreases at a certain rate such that the error of not completely correct construction of the convex hull by the particular subset of points tends to 0.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference9 articles.
1. The distribution of the convex hull of a Gaussian sample
2. Sur le comportement asymptotique de l'enveloppe convexe d'un nuage de points tirés au hasard dans;Raynaud;Rn. C. R. Acad. Sci. Paris,1965
3. Die konvexe H�lle von n rotationssymmetrisch verteilten Punkten
4. Sur l'enveloppe convexe des nuages de points aléatoires dans;Raynaud;Rn. J. Appl. Prob.,1970
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献