4 citations · 9 across the 5 of their papers we have counts for
4 papers · 1 filter
Affine Gateaux Differentials and the von Mises Statistical Calculus
Simone Cerreia-Vioglio, Fabio Maccheroni, Massimo Marinacci +2
This paper presents a general study of one-dimensional differentiability for functionals defined on convex domains that are not necessarily open. The local approximation is carried…
Capacities and Choquet Averages of Ultrafilters
Simone Cerreia-Vioglio, Paolo Leonetti, Fabio Maccheroni +1
We show that a normalized capacity is invariant with respect to an ideal on if and only if it can be represent…
A Characterization of the Vector Lattice of Measurable Functions
Simone Cerreia-Vioglio, Paolo Leonetti, Fabio Maccheroni
Given a probability measure space , it is well known that the Riesz space of equivalence classes of measurable functions is universally comp…
Ergodic Theorems for Lower Probabilities
Simone Cerreia-Vioglio, Fabio Maccheroni, Massimo Marinacci
We establish an Ergodic Theorem for lower probabilities, a generalization of standard probabilities widely used in applications. As a by-product, we provide a version for lower pro…