343:"operational subjective probability" that you assign to the proposition on which you are betting. This price has to obey the probability axioms if you are not to face certain loss, as you would if you set a price above $ 1 (or a negative price). By considering bets on more than one event, de Finetti could justify additivity. Prices, or equivalently odds, that do not expose you to certain loss through a
342:
will be able to choose either to buy such a promise from you at the price you have set, or require you to buy such a promise from your opponent, still at the same price. In other words: you set the odds, but your opponent decides which side of the bet will be yours. The price you set is the
364:. De Finetti was not the first to study exchangeability, but he brought the subject to greater visibility. He started publishing on exchangeability in the late 1920s, but his 1937 article "La Prévision" (see bibliography) is his most famous treatment.
248:. In 1936 he won a competition for Chair of Financial Mathematics and Statistics, but was not nominated due to a fascist law barring access to unmarried candidates; he was appointed as ordinary professor at the
136:
267:, first to another chair in Financial Mathematics and then, from 1961 to 1976, one in the Calculus of Probabilities. De Finetti developed his ideas on subjective probability in the 1920s independently of
31:
385:
The 1974 English translation of his book is credited with reviving interest in predictive inference in the
Anglophone world and bringing the idea of exchangeability to its attention.
338:
must set the price of a promise to pay $ 1 if there was life on Mars 1 billion years ago, and $ 0 if there was not, and tomorrow the answer will be revealed. You know that
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He published extensively (17 papers in 1930 alone, according to
Lindley) and acquired an international reputation in the small world of probability mathematicians. He taught
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1000:(Bruno de Finetti Papers, 1924–2000, ASP.1992.01, Archives of Scientific Philosophy, Special Collections Department, University of Pittsburgh)
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Caves, Carlton M.; Fuchs, Christopher A.; Schack, Ruediger (2002-08-20). "Unknown quantum states: The quantum de
Finetti representation".
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volume 31, issue 2–3, September 1989, pp. 169–223. The entire double issue is devoted to de
Finetti's philosophy of probability.
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Brandao, Fernando G. S. L.; Harrow, Aram W. (2013-01-01). "Quantum de finetti theorems under local measurements with applications".
598:(2001). "Subjectivism, Objectivism and Objectivity in Bruno de Finetti's Bayesianism". In Cornfield, David; Williamson, Jon (eds.).
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further inspired by "fairness" criteria. De
Finetti held different social and political beliefs through his life: following
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446:"Probabilism: A Critical Essay on the Theory of Probability and on the Value of Science," (translation of 1931 article) in
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Doherty, Andrew C.; Parrilo, Pablo A.; Spedalieri, Federico M. (2005-01-01). "Detecting multipartite entanglement".
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283:. He also reasoned about the connection of economics and probability, and thought that guiding principles to be
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from the
Stanford Encyclopedia of Philosophy. De Finetti's views are discussed in Section 3.5 of this article.
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1937, "La Prévision: ses lois logiques, ses sources subjectives," Annales de l'Institut Henri
Poincaré,
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412:
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Creating Modern
Probability: Its Mathematics, Physics, and Philosophy in Historical Perspective
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PrĂĽnster, Igor; Lijoi, Antonio (November 2011). "A Conversation with
Eugenio Regazzini".
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The following books have a chapter on de
Finetti and references to further literature.
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De Finetti only became known in the Anglo-American statistical world in the 1950s when
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271:. Still, according to the preface of his "Theory of Probability", he drew on ideas of
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442:(The following are translations of works originally published in Italian or French.)
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458:- "Foresight: its Logical Laws, Its Subjective Sources," (translation of the
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Proceedings of the forty-fifth annual ACM symposium on Theory of Computing
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of de Finetti's representation theorem have been found to be useful in
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226:. He graduated in 1927, writing his thesis under the supervision of
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230:. After graduation, he worked as an actuary and a statistician at
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Renner, Renato (2008). "Security of Quantum Key Distribution".
200:. The classic exposition of his distinctive theory is the 1937
572:"Guide to the Bruno De Finetti Papers, 1924–2000 ASP.1992.01"
554:"La prévision: ses lois logiques, ses sources subjectives",
330:
along the following lines (described in greater detail at
259:
in Padua and then won a chair in Financial Mathematics at
203:"La prévision: ses lois logiques, ses sources subjectives"
914:
196:, noted for the "operational subjective" conception of
831:. STOC '13. New York, NY, USA: ACM. pp. 861–870.
807:"This Week's Finds in Mathematical Physics (Week 251)"
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of 1970 book) 2 volumes, New York: Wiley, 1974–1975.
462:
in French) in H. E. Kyburg and H. E. Smokler (eds),
494:Journal of the Royal Statistical Society, Series A
392:. The de Finetti Award, presented annually by the
1116:Academic staff of the Sapienza University of Rome
1032:
740:
1096:Fellows of the American Statistical Association
310:, drew him into it; another great champion was
390:Fellow of the American Statistical Association
369:infinitely divisible probability distributions
367:In 1929, de Finetti introduced the concept of
1021:Bruno de Finetti e la geometria del benessere
826:
638:
513:, Cambridge: Cambridge University Press, 1994
231:
185:(13 June 1906 – 20 July 1985) was an Italian
880:International Journal of Quantum Information
201:
1111:Academic staff of the University of Trieste
491:, "Bruno de Finetti, 1906-1985 (Obituary)"
29:
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394:European Association for Decision Making
155:Italian National Institute of Statistics
801:
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326:approach to statistics; he proposed a
222:, Austria, and studied mathematics at
693:Predictive Inference: An Introduction
623:A Conversation with Eugenio Ragazzini
518:Philosophical Theories of Probability
566:
564:
556:Annales de l'Institut Henri Poincaré
1056:20th-century Italian mathematicians
314:. De Finetti died in Rome in 1985.
13:
1091:Fellows of the Econometric Society
464:Studies in Subjective Probability,
317:
14:
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291:during his youth, then moving to
110:Kolmogorov–Nagumo–de Finetti mean
16:Italian mathematician (1906–1985)
988:Generate finetti diagrams online
306:, who had independently adopted
263:(1939). In 1954 he moved to the
238:National Institute of Statistics
233:Istituto Nazionale di Statistica
1086:20th-century Italian economists
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743:Journal of Mathematical Physics
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1014:Interpretations of Probability
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722:View/Search Fellows of the ASA
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632:
616:
588:
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482:
474:, (translation by A Machi and
240:) in Rome and, from 1931, the
1:
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360:on exchangeable sequences of
356:De Finetti is also noted for
602:. Kluwer. pp. 161–174.
388:In 1961 he was elected as a
295:and finally adhering to the
7:
1106:Austrian emigrants to Italy
1071:Philosophers of probability
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265:Sapienza University of Rome
171:Sapienza University of Rome
10:
1137:
1121:Mathematical statisticians
1008:Portraits of Statisticians
997:Bruno de Finetti's Papers
993:MacTutor: Bruno de Finetti
947:10.1103/PhysRevA.71.032333
600:Foundations of Bayesianism
520:, London: Routledge, 2000.
1101:Scientists from Innsbruck
902:10.1142/S0219749908003256
176:
150:
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132:
96:
86:
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1081:Bayesian econometricians
983:Bruno de Finetti website
432:Bruno de Finetti website
413:quantum key distribution
400:is named after him too.
322:De Finetti emphasized a
973:ProbabilitĂ e induzione
847:10.1145/2488608.2488718
281:B. O. Koopman
218:De Finetti was born in
213:
127:Predictive interference
1076:Bayesian statisticians
731:, accessed 2016-07-23.
596:Galavotti, Maria Carla
466:New York: Wiley, 1964.
304:L. J. Savage
246:Assicurazioni Generali
232:
202:
159:Assicurazioni Generali
123:Mean-variance analysis
1066:Probability theorists
1061:Italian statisticians
501:, p. 252 (1986).
472:Theory of Probability
438:de Finetti in English
398:University of Trieste
257:mathematical analysis
250:University of Trieste
224:Politecnico di Milano
163:University of Trieste
119:Infinite divisibility
91:Politecnico di Milano
536:Quasiconvex function
403:In the 21st century
358:de Finetti's theorem
324:predictive inference
277:I. J. Good
269:Frank P. Ramsey
105:De Finetti's theorem
1024:by Rosaria Adriani
939:2005PhRvA..71c2333D
765:2002JMP....43.4537C
641:Statistical Science
627:Statistical Science
409:quantum information
376:de Finetti diagrams
374:He also introduced
293:Christian socialism
167:University of Padua
115:Dutch book theorems
727:2016-06-16 at the
405:quantum extensions
328:thought experiment
261:Trieste University
244:insurance company
101:De Finetti diagram
1051:Italian actuaries
976:, Bologna, 1993.
917:Physical Review A
773:10.1063/1.1494475
663:10.1214/11-STS362
411:, in topics like
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145:Scientific career
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362:random variables
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252:only in 1950.
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151:Institutions
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68:(1985-07-20)
66:20 July 1985
48:13 June 1906
1046:1985 deaths
1041:1906 births
483:Discussions
448:Erkenntnis,
419:detection.
349:are called
198:probability
187:probabilist
137:ICM Speaker
79:Nationality
73:Rome, Italy
1035:Categories
1004:De Finetti
581:2019-05-01
558:, 7, 1–68.
542:References
346:Dutch book
44:1906-06-13
838:1210.6367
781:0022-2488
702:CRC Press
671:0883-4237
654:1205.4807
476:AFM Smith
332:coherence
220:Innsbruck
52:Innsbruck
955:44241800
812:29 April
805:(2007).
789:17416262
725:Archived
704:, 1993,
679:53383544
525:See also
380:genotype
351:coherent
1006:on the
935:Bibcode
865:1772280
803:J. Baez
761:Bibcode
629:, 2011.
289:fascism
242:Trieste
194:actuary
82:Italian
953:
863:
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669:
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139:(1928)
133:Awards
1010:page.
951:S2CID
925:arXiv
888:arXiv
861:S2CID
833:arXiv
785:S2CID
751:arXiv
675:S2CID
649:arXiv
851:ISBN
814:2012
777:ISSN
706:ISBN
667:ISSN
604:ISBN
415:and
279:and
214:Life
192:and
63:Died
38:Born
943:doi
898:doi
843:doi
769:doi
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499:149
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