1,720,989 research outputs found
Correction of incoherence in statistical matching
No full textWe deal with the statistical matching problem, with particular emphasis
on the managing of inconsistencies. In fact, when structural zeros among variables
are present, incoherence on the probability evaluations can arise. The aim of this
paper is to remove such incoherences by using different methods based on distances
minimization or least commitment imprecise probabilities extensions. We compare
these methods through an exemplifying practical example that carries out to the light
peculiarities of the statistical matching problem
Incoherence correction strategies in statistical matching
No full textWe deal with the statistical matching problem and in particular we study the problem related to the managing of inconsistencies. In fact, when logical relations among the variables are present incoherence can arise in the probability evaluations. The aim of this paper is to remove such incoherences by using different methods. Specific precise distances minimization or least committal imprecise probability extensions are adopted. We compare these methods using a practical example that brings to light the peculiarities of the statistical matching problem
Extendibility of Choquet rational preferences on generalized lotteries
No full textGiven a finite set of generalized lotteries, that is random quantities equipped with a belief function, and a partial preference relation on them, a necessary and sufficient condition (Choquet rationality) has been provided for its representation as a Choquet expected utility of a strictly increasing utility function. Here we prove that this condition assures the extension of the preference relation and it actually guides the decision maker in this process
Do inferential processes affect uncertainty frameworks?
No full textThis paper studies the connections among different (comparative or numerical) degrees of belief. In particular we consider, in turn, a comparative probability or possibility on a given Boolean algebra and we prove that their upper extensions to a different Boolean algebra are, respectively, a comparative plausibility or possibility. On the other hand, in general the upper extension of a comparative necessity is simply a comparative capacity. Moreover, by considering a suitable condition of weak logical independence between the two Boolean algebras, we prove that the upper ordinal relation is a comparative possibility in all the aforementioned cases. We consider specifically also the lower ordinal relations, since they may not be the comparative dual relation of the upper ones. (C) 2013 Elsevier B.V. All rights reserved
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