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On the Pareto Type III distribution

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  • Giulio Bottazzi

Abstract

This short note analyzes the distributional properties of Pareto Type III random variables. We introduce a three parameters version of the orignal two parameters distribution proposed by Pareto and derive both the density and the characteristic function. The analytic expression of the inverse distribution function is also obtained, together with a simple series expansion of its moments of any order. Finally, we propose a simple statistical exercise designed to show the increased reliability of the Pareto Type III distribution in describing asymptotically dumped power-like behaviors.

Suggested Citation

  • Giulio Bottazzi, 2007. "On the Pareto Type III distribution," LEM Papers Series 2007/07, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    • Handle: RePEc:ssa:lemwps:2007/07
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    References listed on IDEAS

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    1. Castaldi, Carolina & Milakovic, Mishael, 2007. "Turnover activity in wealth portfolios," Journal of Economic Behavior & Organization, Elsevier, vol. 63(3), pages 537-552, July.
    2. Creedy, John, 1977. "Pareto and the Distribution of Income," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 23(4), pages 405-411, December.
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