Bruno de Finetti and imprecision: Imprecise probability does not exist!
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چکیده
منابع مشابه
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, given the limited development of imprecise probability theory as that was known to him.
متن کاملBruno de Finetti and Imprecision
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.
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An account of the first encounter, in 1938, of de Finetti with the notion of martingale is given. The reasons, of an actuarial nature, which led him to deal with the subject are explained, along with a description of the ensuing original contributions to the specific field of martingales. The value of some of his conclusions is, then, discussed in the light of later development of the theory. T...
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This article begins by outlining some of the history—beginning with brief remarks of Quine's—of work on conditional assertions and conditional events. The upshot of the historical narrative is that diverse works from various starting points have circled around a nexus of ideas without convincingly tying them together. Section 3 shows how ideas contained in a neglected article of de Finetti's le...
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The conflicts between these two populations went on for many centuries and this should never be forgotten, but remembering it must never be bitter. On the contrary it must be an advice so that the tragic events of the past will not be repeated and will at most be heroically idealized like the Trojan wars. Both players: Andreas Hofer and Cesare Battisti and many others on the north and south of ...
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ژورنال
عنوان ژورنال: International Journal of Approximate Reasoning
سال: 2012
ISSN: 0888-613X
DOI: 10.1016/j.ijar.2012.06.021