The circulation with likelihood thickness capacity and appropriation work 

characterized over the interim x>=b. 

It is actualized in the Wolfram Language as ParetoDistribution[k, alpha].

n

The th raw moment is


a>n

for , giving the first few as

n

The th central moment is

a>n
Gamma(z)
_2F^~_1(a,b;c;z)
B(z;a,b)

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