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Pearson distribution
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Pearson distribution

mathematics
Written by
William L. Hosch
William L. Hosch was an editor at Encyclopædia Britannica.
William L. Hosch
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Britannica Editors
Encyclopaedia Britannica's editors oversee subject areas in which they have extensive knowledge, whether from years of experience gained by working on that content or via study for an advanced degree....
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History

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 Distribution

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.

William L. Hosch