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The continuous random variable with uniform point inequality measure

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The continuous random variable with uniform point inequality measure
Article
journal STATISTICA & APPLICAZIONI
issue STATISTICA & APPLICAZIONI - 2008 - 2
title The continuous random variable with uniform point inequality measure
author
publisher Vita e Pensiero
format Article | Pdf
online since 2008
issn 18246672 (print)
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By using the conditions that the expected value of an absolute random variable X is finite and positive and that the point inequality measure I ðpÞ is uniform for 0 < p < 1, this paper discusses the question of the existence of such random variable and proves that this problem has a unique solution. The obtained cumulative distribution function of X is a truncated Pareto distribution, with traditional inequality parameter equal to 0,5 and with support depending on the finite and positive expected value and the level of uniformity, based on the ratios between the lower means and the upper means, used for defining the point inequality measure I(p).

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