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A characterization of the pareto distribution
Canadian Journal of Statistics, 1973AbstractSuppose that in a random sample of size n from a population with probability density function f(x), the order statistics are X(1) <x(2) <…<x(n). It is proved that a necessary and sufficient condition for f (x) to be a Pareto density function is that the statistics X(r) and X(s)/X(r) ≤ r < s ≤ n) are independent.
Ahsanullah, M., Kabir, A. B. M. Lutful
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A truncated Pareto distribution
Computer Communications, 2006Modeling problems in communication networks predominantly involve long-tailed distributions. These distributions, however, suffer from the weakness of not having finite moments of all orders and this weakness has restricted their use in communication networks. In this note, we introduce a truncated version of the Pareto distribution - the most commonly
M. Masoom Ali, Saralees Nadarajah
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A Formulation of the Pareto Distribution [PDF]
A wide class of biological, demographic, economic, linguistic, and sociological phenomena have been observed to obey the Pareto distribution. This study is addressed to the question of why the observed distribution is what it is. A new formulation of the Pareto distribution is presented.
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