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A Discrete Pareto Distribution on Positive Integers
AdvisorKozubowski, Tomasz J.
Mathematics and Statistics
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The Zipf's law is a standard discrete power-law probability distributions, often thought of as a discrete counterpart of the Pareto distribution. Here we study an alternative discrete Pareto distribution, using the general approach of discretizing a continuous distribution. We obtain several important theoretical properties of the distribution, that resamble similar properties of the classical Pareto distribution. We also study the problem of parameter estimation connected with this distribution.