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User:BeyondNormality/Aldous distribution

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Aldous distribution
Notation
Parameters
Support x ∈ { 3, 4, 5, ... , n}
PMF
CDF
Mean
Median
Mode
Variance
Skewness
Excess kurtosis
Entropy
MGF
CF
PGF

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

[edit]
  • 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