Pareto Distribution
المؤلف:
von Seggern, D
المصدر:
CRC Standard Curves and Surfaces. Boca Raton, FL: CRC Press
الجزء والصفحة:
p. 252
12-4-2021
2078
Pareto Distribution
The distribution with probability density function and distribution function
defined over the interval 
.
It is implemented in the Wolfram Language as ParetoDistribution[k, alpha].
The 
th raw moment is
 |
(3)
|
for 
, giving the first few as
The 
th central moment is
for 
and where 
is a gamma function, 
is a regularized hypergeometric function, and 
is a beta function, giving the first few as
The mean, variance, skewness, and kurtosis excess are therefore
REFERENCES:
von Seggern, D. CRC Standard Curves and Surfaces. Boca Raton, FL: CRC Press, p. 252, 1993.
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