Sklar's theorem is an important tool that connects bidimensional distribution functions with
their marginals by means of a copula. When there is imprecision about the marginals, we …

Two compelling principles, the Reasonable Range Principle and the Preservation of
Irrelevant Evidence Principle, are necessary conditions that any response to peer …

Dilation occurs when an interval probability estimate of some event E is properly included in
the interval probability estimate of E conditional on every event F of some partition, which …

Bayesian networks are powerful probabilistic graphical models for modelling uncertainty.
Among others, classification represents an important application: some of the most used …

A pair of lower and upper cumulative distribution functions, also called probability box or p-
box, is among the most popular models used in imprecise probability theory. They arise …

We focus on credal nets, which are graphical models that generalise Bayesian nets to
imprecise probability. We replace the notion of strong independence commonly used in …

We explore the relationship between possibility measures (supremum preserving normed
measures) and p-boxes (pairs of cumulative distribution functions) on totally preordered …

We consider the problem of gambling on a quantum experiment and enforce rational
behavior by a few rules. These rules yield, in the classical case, the Bayesian theory of …

We establish the equivalence of two very general theories: the first is the decision-theoretic
formalisation of incomplete preferences based on the mixture independence axiom; the …

The results in this paper add useful tools to the theory of sets of desirable gambles, a
growing toolbox for reasoning with partial probability assessments. We investigate how to …