Let B be a Boolean Algebra and S a subset of B. An S-coherent family of probabilities is defined as a family associating to every element of S a probability defined over B, and verifying some coherence conditions. This notion allows to indicate an alternative way to explore conditional probabilities. Indeed, a coherent family of probabilities is naturally attached to every conditional probability. In the paper some conditions are provided, under which an S -coherent family of probabilities can be built up by a finite number of steps and connections between the notions of S- coherent family of probabilities and layers of events are given.

Coherent families of probabilities: properties and extensions / D'Apuzzo, Livia. - In: INTERNATIONAL MATHEMATICAL JOURNAL. - ISSN 1311-6797. - STAMPA. - 5:7(2004), pp. 589-610.

Coherent families of probabilities: properties and extensions

D'APUZZO, LIVIA
2004

Abstract

Let B be a Boolean Algebra and S a subset of B. An S-coherent family of probabilities is defined as a family associating to every element of S a probability defined over B, and verifying some coherence conditions. This notion allows to indicate an alternative way to explore conditional probabilities. Indeed, a coherent family of probabilities is naturally attached to every conditional probability. In the paper some conditions are provided, under which an S -coherent family of probabilities can be built up by a finite number of steps and connections between the notions of S- coherent family of probabilities and layers of events are given.
2004
Coherent families of probabilities: properties and extensions / D'Apuzzo, Livia. - In: INTERNATIONAL MATHEMATICAL JOURNAL. - ISSN 1311-6797. - STAMPA. - 5:7(2004), pp. 589-610.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/200993
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