Pearson Type III Distribution
المؤلف:
Abramowitz, M. and Stegun, I. A.
المصدر:
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, 1972
الجزء والصفحة:
...
13-4-2021
2708
Pearson Type III Distribution
A skewed distribution which is similar to the binomial distribution when 
(Abramowitz and Stegun 1972, p. 930).
 |
(1)
|
for 
where
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
REFERENCES:
Abramowitz, M. and Stegun, I. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, 1972.
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