Discrete Pareto Distributions

Buddana Amrutha () and Kozubowski Tomasz J. ()
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Buddana Amrutha: Tivo Inc., 2100 Gold Street, San Jose, CA 95002, USA
Kozubowski Tomasz J.: Department of Mathematics and Statistics, University of Nevada, Reno NV 89557, USA

Stochastics and Quality Control, 2014, vol. 29, issue 2, 143-156

Abstract: We review several common discretization schemes and study a particular class of power-tail probability distributions on integers, obtained by discretizing continuous Pareto II (Lomax) distribution through one of them. Our results include expressions for the density and cumulative distribution functions, probability generating function, moments and related parameters, stability and divisibility properties, stochastic representations, and limiting distributions of random sums with discrete-Pareto number of terms. We also briefly discuss issues of simulation and estimation and extensions to multivariate setting.

Keywords: Geometric Distribution; Heavy Tails; Infinite Divisibility; Lomax Distribution; Multivariate Discrete Distribution; Pareto Distribution; Power Law; Random Sum; Yule Distribution (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1515/eqc-2014-0014

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