Bruno de Finetti and imprecision: Imprecise probability does not exist

We review several of de Finetti’s fundamental contributions where these have played and continue to play an important role in the development of imprecise probability research. Also, we discuss de Finetti’s few, but mostly critical remarks about the prospects for a theory of imprecise probabilities,...

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Bibliographic Details
Published in:International journal of approximate reasoning 2012-11, Vol.53 (8), p.1115-1123
Main Authors: Vicig, Paolo, Seidenfeld, Teddy
Format: Article
Language:English
Subjects:
Coherent previsions
Exact sciences and technology
Imprecise probabilities
Indeterminate probabilities
Mathematics
Probability and statistics
Probability theory and stochastic processes
Probability theory on algebraic and topological structures
Sciences and techniques of general use
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Summary:We review several of de Finetti’s fundamental contributions where these have played and continue to play an important role in the development of imprecise probability research. Also, we discuss de Finetti’s few, but mostly critical remarks about the prospects for a theory of imprecise probabilities, given the limited development of imprecise probability theory as that was known to him.
ISSN:0888-613X
1873-4731
DOI:10.1016/j.ijar.2012.06.021