Pearson Distribution - Relation To Other Distributions

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)