Definition:Pareto Distribution

Definition
Let $X$ be a continuous random variable on a probability space $\struct {\Omega, \Sigma, \Pr}$.

Let $\Img X \in \hointr b \infty$.

$X$ is said to have a Pareto distribution it has probability density function:


 * $\ds \map {f_X} x = \dfrac {a b^a} {x^{a + 1} }$

for $a, b \in \R_{> 0}$.