Pareto distribution
= Pareto distribution
{c}
{title2=$\operatorname{Pareto}(\alpha,\beta)$}
In the shape–minimum parameterization, the density is $\alpha\beta^\alpha x^{-\alpha-1}\mathbf1_{\{x>\beta\}}$, with $\alpha,\beta>0$. The survival function is $(\beta/x)^\alpha$ for $x\ge\beta$. Large shape concentrates the distribution near its lower bound. This convention is useful for <uniform-Pareto conjugacy>.