The Pareto distribution, named after the Italian civil engineer,economist, and sociologist Vilfredo Pareto, is a power lawprobability distribution that is used in description of social,scientific, geophysical, actuarial, and many other types of observable phenomena.(From Wikipedia)
Pareto Type I probability density functions for various α with
xm
= 1. As α → ∞ the distribution approaches δ(
x −
xm
) where δ is the
Dirac delta function
.