 Suppose that for all formula_32, the two random variables formula_33 and formula_34 are independent.Then the common distribution is a Pareto distribution.The geometric mean ("G") is

The harmonic mean ("H") is

The characteristic curved 'long tail' distribution when plotted on a linear scale, masks the underlying simplicity of the function when plotted on a log-log graph, which then takes the form of a straight line with negative gradient