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The Pareto distribution is a power distribution which was initially invented to describe the distribution of income but has found application in many other areas.
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Is the variability index valid for the Pareto distribution
The Pareto distribution is defined from the CDF:
$$
F^{-1}(p) = \frac{b}{(1 − p)^{1/a}},\ 0 < p < 1,
$$
where, $b$ is the scale parameter and $a$ is the shape parameter.
In the Gaussian case, in …