An imprecise probability approach to joint extensions of stochastic and interval orderings

Abstract

This paper deals with methods for ranking uncertain quantities in the setting of imprecise probabilities. It is shown that many techniques for comparing random variables or intervals can be generalized by means of upper and lower expectations of sets of gambles, so as to compare more general kinds of uncertain quantities. We show that many comparison criteria proposed so far can be cast in a general form. © 2012 Springer-Verlag Berlin Heidelberg.