A note on undominated lower probabilities. (English) Zbl 0595.60003

Papamarcou, Adrianos; Fine, Terrence L.

Ann. Probab. 14, 710-723 (1986).

Some important physical applications justify the investigation of the so- called lower probability and undominated lower probability. This article deals with the construction of a class of undominated lower probability and the existence of a joint experiment of two experiments in lower probability. Extension of a lower probability, defined on a finite algebra, to an undominated lower probability on a larger finite algebra is also investigated.

Reviewer: I.G.Kalmár

MSC:

60A05

Axioms; other general questions in probability

Keywords:

belief function; lower envelope; interval-valued probability; lower probability; existence of a joint experiment; Extension of a lower probability