Stochastic independence in a coherent setting. (English) Zbl 1005.60007

Coletti, G.; Scozzafava, R.

Ann. Math. Artif. Intell. 35, No. 1-4, 151-176 (2002).

The authors continue their systematic study of coherent assessment of (finitely additive) probability to a family of conditional events. They start with a nice exposition of the concept of coherent assessment and then thoroughly study the stochastic independence in the framework of coherent probability theory. In the de Finetti tradition, conditioning does not exclude events of zero probability but, contrary, it is a crucial feature of the theory.

Reviewer: Roman Frič (Košice)

MSC:

60A05	Axioms; other general questions in probability
60A99	Foundations of probability theory
60A10	Probabilistic measure theory

Keywords:

conditional event; conditional probability; coherent assessment; stochastic and logical independence; upper and lower probabilities; supporting family; zero layer