In this paper we try to clarify the notion of independence for imprecise probabilities. Our main point is that there are several possible definitions of independence which are app...
I introduce and study a fairly general imprecise secondorder uncertainty model, in terms of lower desirability. A modeller's lower desirability for a gamble is defined as her...
Inferential problems that arise in the empirical analysis oftreatmentresponseinduceambiguityabouttheidentity of optimal treatment rules. This paper describes a research program th...
Bayesian advocates of expected utility maximization use sets of probability distributions to represent very different ideas. Strict Bayesians insist that probability judgment is n...
The second author has put forward a theory of incomplete interval probabilities meant to give a common framework to both interval probabilities and openframe bodies of evidence, a...
We explore a generalization of Ellsberg's paradox (2color scenario) to the Vague-Vague (V-V) case, in which neither of the probabilities (urns) is specified precisely, but on...
In this paper we focus on the theoretical properties of non-numerical representation of the uncertainty. As usual, this representation is realized by an ``ordinal relation'...
The paper summarizes the author's experience in dealing with the Dempster-Shafer theory relating to reliability assessments and demonstrates how to make component and system ...