Pearson Distribution

The Pearson family consists of eight distributions:
Type 0 Normal distribution
Type 1 Beta distribution with minimum and maximum
Type 2 Symmetric Beta distribution with minimum and maximum. The symmetry is imposed by requiring the two shape parameters to have the same value
Type 3 Gamma distribution with threshold
Type 4 Pearson IV distribution
Type 5 Inverse Gamma distribution with threshold
Type 6 F distribution with location and scale
Type 7 Student's T distribution with location and scale
The Pearson methodology selects one member of the family using the methodology described in Johnson, Kotz and Balakrishnan