Pearson Distribution

Author

Eric W. Weisstein
February 16, 2002

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Statistics/PearsonDistribution.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/PearsonDistribution.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Code

PearsonIII[t_]:=k(t+A)^(A^2-1)Exp[-A t]

FullSimplify[Integrate[PearsonIII[t],{t,0,Infinity},Assumptions->{Re[A]>0}]]

Integrate[t PearsonIII[t]/%12,{t,0,Infinity}]