Title
Characterization Of Coherent Conditional Probabilities As A Tool For Their Assessment And Extension
Abstract
A major purpose of this paper is to show the broad import and applicability of the theory of probability as proposed by de Finetti, which differs radically from the usual one (based on a measure-theoretic framework). In particular, with reference to a coherent conditional probability, we prove a characterization theorem, which provides also a useful algorithm for checking coherence of a given assessment. Moreover it allows to deepen and generalise in useful directions de Finetti's extension theorem (dubbed as ''the fundamental theorem of probability''), emphasising its operational aspects in many significant applications.
Year
DOI
Venue
1996
10.1142/S021848859600007X
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
Keywords
Field
DocType
coherence, conditional probability, probability assessment and extensions
Discrete mathematics,Conditional probability,Imprecise probability,Conditional expectation,Coherence (physics),Regular conditional probability,Fundamental theorem,Chain rule (probability),Conditional mutual information,Mathematics
Journal
Volume
Issue
ISSN
4
2
0218-4885
Citations 
PageRank 
References 
34
4.28
0
Authors
2
Name
Order
Citations
PageRank
G. Coletti1344.28
Romano Scozzafava236748.05