Study of the Probabilistic Information of a Random Set
by
Enrique Miranda
,
Ines Couso
,
Pedro Gil
BibTeX
@MISC{Miranda_studyof,
author = {Enrique Miranda and Ines Couso and Pedro Gil},
title = {Study of the Probabilistic Information of a Random Set},
year = {}
}
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Abstract
Given a random set coming from the imprecise observation of a random variable, we study how to model the information about the distribution of this random variable. Specifically, we investigate whether the information given by the upper and lower probabilities induced by the random set is equivalent to the one given by the class of the distributions of the measurable selections; together with sufficient conditions for this, we also give examples showing that they are not equivalent in all cases.
