Abstract.
Suppose K is a compact convex set in ℝ2 and X i , 1≤i≤n, is a random sample of points in the interior of K. Under general assumptions on K and the distribution of the X i we study the asymptotic properties of certain statistics of the convex hull of the sample.
Article PDF
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: 24 July 1996/Revised version: 24 February 1998
Rights and permissions
About this article
Cite this article
Bräker, H., Hsing, T. On the area and perimeter of a random convex hull in a bounded convex set. Probab Theory Relat Fields 111, 517–550 (1998). https://doi.org/10.1007/s004400050176
Issue Date:
DOI: https://doi.org/10.1007/s004400050176