论文信息 - The number of extreme points in the convex hull of a random sample

The number of extreme points in the convex hull of a random sample

Let (Xk} be an i.i.d. sequence taking values in R2 with the radial and spherical components independent and the radial component having a distribution with slowly varying tail. The number of extreme points in the convex hull of (XI, . *, X } is shown to have a limiting distribution which is obtained explicitly. Precise information about the mean and variance of the limit distribution is obtained.

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