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Bruno de Finetti

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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.
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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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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.). 1085: 393: 237: 154: 287:
further inspired by "fairness" criteria. De Finetti held different social and political beliefs through his life: following
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Doherty, Andrew C.; Parrilo, Pablo A.; Spedalieri, Federico M. (2005-01-01). "Detecting multipartite entanglement".
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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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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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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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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
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in Padua and then won a chair in Financial Mathematics at
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of 1970 book) 2 volumes, New York: Wiley, 1974–1975.
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in French) in H. E. Kyburg and H. E. Smokler (eds),
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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: 928: 891: 836: 754: 652: 594: 437: 394:European Association for Decision Making 155:Italian National Institute of Statistics 801: 1033: 877: 685: 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 PoincarĂ© 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: 1132: 965: 561: 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 908: 871: 820: 743:Journal of Mathematical Physics 422: 1014:Interpretations of Probability 795: 734: 722:View/Search Fellows of the ASA 715: 632: 616: 588: 548: 482: 474:, (translation by A Machi and 240:) in Rome and, from 1931, the 1: 541: 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 524: 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: 143: 132: 96: 86: 78: 62: 37: 28: 21: 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 180: 179: 145:Scientific career 1128: 1027: 979: 959: 958: 932: 930:quant-ph/0407143 912: 906: 905: 895: 893:quant-ph/0512258 875: 869: 868: 840: 824: 818: 817: 815: 813: 799: 793: 792: 758: 756:quant-ph/0104088 749:(9): 4537–4559. 738: 732: 719: 713: 689: 683: 682: 656: 636: 630: 620: 614: 613: 592: 586: 585: 583: 582: 568: 559: 552: 516:Donald Gillies, 362:random variables 285:Paretian optimum 235: 205: 183:Bruno de Finetti 112: 69: 47: 45: 33: 23:Bruno De Finetti 19: 18: 1136: 1135: 1131: 1130: 1129: 1127: 1126: 1125: 1031: 1030: 1025: 977: 968: 963: 962: 913: 909: 876: 872: 857: 825: 821: 811: 809: 800: 796: 739: 735: 729:Wayback Machine 720: 716: 698:Seymour Geisser 690: 686: 637: 633: 621: 617: 610: 593: 589: 580: 578: 570: 569: 562: 553: 549: 544: 531:Exchangeability 527: 509:Jan von Plato, 485: 440: 425: 320: 318:Work and impact 273:Harold Jeffreys 216: 208:exchangeability 169: 165: 161: 157: 125: 121: 117: 113: 108: 107: 103: 87:Alma mater 74: 71: 67: 58: 56:Austria-Hungary 49: 43: 41: 24: 17: 12: 11: 5: 1134: 1124: 1123: 1118: 1113: 1108: 1103: 1098: 1093: 1088: 1083: 1078: 1073: 1068: 1063: 1058: 1053: 1048: 1043: 1029: 1028: 1017: 1011: 1001: 995: 990: 985: 980: 967: 966:External links 964: 961: 960: 907: 870: 855: 819: 794: 733: 714: 684: 647:(4): 647–672. 631: 615: 608: 587: 560: 546: 545: 543: 540: 539: 538: 533: 526: 523: 522: 521: 514: 503: 502: 484: 481: 480: 479: 468: 467: 455: 454: 451: 439: 436: 435: 434: 427:See Works on 424: 421: 319: 316: 312:Dennis Lindley 252:only in 1950. 228:Giulio Vivanti 215: 212: 178: 177: 174: 173: 152: 148: 147: 141: 140: 134: 130: 129: 98: 97:Known for 94: 93: 88: 84: 83: 80: 76: 75: 72: 70:(aged 79) 64: 60: 59: 50: 39: 35: 34: 26: 25: 22: 15: 9: 6: 4: 3: 2: 1133: 1122: 1119: 1117: 1114: 1112: 1109: 1107: 1104: 1102: 1099: 1097: 1094: 1092: 1089: 1087: 1084: 1082: 1079: 1077: 1074: 1072: 1069: 1067: 1064: 1062: 1059: 1057: 1054: 1052: 1049: 1047: 1044: 1042: 1039: 1038: 1036: 1023: 1022: 1018: 1015: 1012: 1009: 1005: 1002: 999: 996: 994: 991: 989: 986: 984: 981: 975: 974: 970: 969: 956: 952: 948: 944: 940: 936: 931: 926: 923:(3): 032333. 922: 918: 911: 903: 899: 894: 889: 885: 881: 874: 866: 862: 858: 856:9781450320290 852: 848: 844: 839: 834: 830: 823: 808: 804: 798: 790: 786: 782: 778: 774: 770: 766: 762: 757: 752: 748: 744: 737: 730: 726: 723: 718: 711: 710:0-412-03471-9 707: 703: 699: 695: 694: 688: 680: 676: 672: 668: 664: 660: 655: 650: 646: 642: 635: 628: 624: 619: 611: 609:1-4020-0223-8 605: 601: 597: 591: 577: 573: 567: 565: 557: 551: 547: 537: 534: 532: 529: 528: 519: 515: 512: 508: 507: 506: 500: 496: 495: 490: 489:D. 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Retrieved 576:Digital Pitt 575: 555: 550: 517: 510: 504: 498: 492: 471: 463: 460:1937 article 447: 441: 426: 423:Bibliography 417:entanglement 402: 387: 384: 373: 366: 355: 350: 344: 339: 335: 321: 308:subjectivism 301: 254: 217: 190:statistician 182: 181: 151:Institutions 144: 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:  853:  787:  779:  708:  677:  669:  606:  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 659:doi 499:149 336:You 334:): 1037:: 949:. 941:. 933:. 921:71 919:. 896:. 882:. 859:. 849:. 841:. 783:. 775:. 767:. 759:. 747:43 745:. 700:, 696:, 673:. 665:. 657:. 645:26 643:. 625:, 574:. 563:^ 497:, 371:. 353:. 299:. 275:, 210:. 54:, 957:. 945:: 937:: 927:: 904:. 900:: 890:: 884:6 867:. 845:: 835:: 816:. 791:. 771:: 763:: 753:: 712:. 681:. 661:: 651:: 612:. 584:. 236:( 46:) 42:(

Index


Innsbruck
Austria-Hungary
Politecnico di Milano
De Finetti diagram
De Finetti's theorem
Kolmogorov–Nagumo–de Finetti mean
Dutch book theorems
Infinite divisibility
Mean-variance analysis
Predictive interference
ICM Speaker
Italian National Institute of Statistics
Assicurazioni Generali
University of Trieste
University of Padua
Sapienza University of Rome
probabilist
statistician
actuary
probability
exchangeability
Innsbruck
Politecnico di Milano
Giulio Vivanti
National Institute of Statistics
Trieste
Assicurazioni Generali
University of Trieste
mathematical analysis

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