Pearson Curves

A system of distributions proposed by Karl Pearson (e.g., see Hahn and Shapiro, 1967, pages 220-224) consists of seven solutions (of 12 originally enumerated by Pearson) to a differential equation which approximate a wide range of distributions of different shapes. Gruska, Mirkhani, and Lamberson (1989) describe in detail how the different Pearson curves can be fit to an empirical distribution. A method for computing specific Pearson percentiles is also described in Davis and Stephens (1983). For a comparison between Pearson and Johnson distributions, refer to the Technical Notes section of Process Analysis.

See also, Johnson Curves.