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)

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