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Abstract
The elasticity of the distribution function of a random variable is a concept just recently introduced in statistics from economics. This work shows, in both the continuous and discrete case, how the probability distribution of the random variable could be characterized from it and illustrates this through several examples. We hope analysts found in the elasticity a new tool for understanding the situations of risk and uncertainty and that, moreover, this makes possible to merge new random models, hardly imaginable or justifiable otherwise. [PUBLICATION ABSTRACT]
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