Pearson distribution

Pearson distribution, in statistics, a family of continuous distribution functions first published by British statistician Karl Pearson in 1895. In particular, Pearson showed that many probability density functions satisfy a differential equation of the form (in simplified notation)

Pearson devised the family to model skewed (unbalanced) distributions. However, letting c = −1 and a = b = d in the above differential equation also produces the familiar standard normal distribution.