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The Benini distribution is a lognormal-like distribution generalizing thePareto distribution. Like the Pareto and the lognormal distributions it wasoriginally proposed for modeling economic size distributions, notably the sizedistribution of personal income. This paper explores a probabilistic propertyof the Benini distribution, showing that it is not determined by the sequenceof its moments although all the moments are finite. It also provides explicitexamples of distributions possessing the same set of moments. Relateddistributions are briefly explored.

On moment indeterminacy of the Benini income distribution