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