Definition:Pareto Distribution
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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 if and only if it has probability density function:
- $\ds \map {f_X} x = \dfrac {a b^a} {x^{a + 1} }$
for $a, b \in \R_{> 0}$.
Also see
- Results about the Pareto distribution can be found here.
Source of Name
This entry was named for Vilfredo Federico Damaso Pareto.
Sources
- Weisstein, Eric W. "Pareto Distribution." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ParetoDistribution.html