# Pareto distribution

## English

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### Noun

Pareto distribution (plural Pareto distributions)

1. (statistics) A probability distribution such that for a random variable X with that distribution holds that the probability that X is greater than some number x is given by
$\Pr(X>x)=\left(\frac{x}{x_\mathrm{m}}\right)^{-k}$
for all xxm, where xm is the (necessarily positive) minimum possible value of X, and k is a positive parameter.