Also known as the distribution of the number of extreme points in the convex hull of a random sample, the
probability mass function of the Aldous distribution is given by
Recurrence relation
Expected Value
Variance
Moment Generating Function
Characteristic Function
Probability Generating Function
References
Aldous, D.J., Fristedt, B., Griffin, P.S., Pruitt, W.E. (1991). The number of extreme points in the convex hull of a random sample. J. of Applied Probability 28, 287-304
Wimmer, G., Altmann. (1999). Thesaurus of univariate discrete probability distributions. Stamm; 1. ed (1999), pg 7
Also known as the distribution of the number of extreme points in the convex hull of a random sample, the
probability mass function of the Aldous distribution is given by
Recurrence relation
Expected Value
Variance
Moment Generating Function
Characteristic Function
Probability Generating Function
References
Aldous, D.J., Fristedt, B., Griffin, P.S., Pruitt, W.E. (1991). The number of extreme points in the convex hull of a random sample. J. of Applied Probability 28, 287-304
Wimmer, G., Altmann. (1999). Thesaurus of univariate discrete probability distributions. Stamm; 1. ed (1999), pg 7