Pearson Type III Distribution

A skewed distribution which is similar to the binomial distribution when (Abramowitz and Stegun 1972, p. 930).

(1)

for where

			(2)
			(3)

is the gamma function, and is a standardized variate. Another form is

(4)

For this distribution, the characteristic function is

(5)

and the mean, variance, skewness, and kurtosis excess are

			(6)
			(7)
			(8)
			(9)