Relation To Other Distributions
The Pearson family subsumes the following distributions, among others:
- beta distribution (type I)
- beta prime distribution (type VI)
- Cauchy distribution (type IV)
- chi-squared distribution (type III)
- continuous uniform distribution (limit of type I)
- exponential distribution (type III)
- gamma distribution (type III)
- F-distribution (type VI)
- inverse-chi-squared distribution (type V)
- inverse-gamma distribution (type V)
- normal distribution (limit of type I, III, IV, V, or VI)
- Student's t-distribution (type VII, which is the non-skewed subtype of type IV)
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