This paper argues in favor of the thesis that two different concepts of conditional interval probability are needed, in order to serve the huge variety of tasks conditional probab...
We extend Buja’s concept of “pseudo-capacities”, which comprises the neighbourhood models for classical probabilities commonly used in robust statistics. Although systematic...
Independence models induced by some uncertainty measures (e.g. conditional probability, possibility) do not obey the usual graphoid properties, since they do not satisfy the symme...
In this paper we consider decision making under hierarchical imprecise uncertainty models and derive general algorithms to determine optimal actions. Numerical examples illustrate...
A second-order hierarchical uncertainty model of a system of independent random variables is studied in the paper. It is shown that the complex nonlinear optimization problem for ...
abstract DAMJAN ˇSKULJ University of Ljubljana, Slovenia A new approach to define a product of capacities is presented. It works for capacities that are in a certain relation wi...
This article introduces a new way of understanding subjective probability and its generalization to lower and upper prevision. Instead of asking whether a person is willing to pay...
We contrast three decision rules that extend Expected Utility to contexts where a convex set of probabilities is used to depict uncertainty: Γ-Maximin, Maximality, and E-admissib...
Mark J. Schervish, Teddy Seidenfeld, Joseph B. Kad...
The European call option prices have well-known formulae in the Cox-RossRubinstein model [2], depending on the volatility of the underlying asset. Nevertheless it is hard to give ...