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De Finetti’s contribution to probability and statistics. (English) Zbl 0955.01552

MSC:
01A70 Biographies, obituaries, personalia, bibliographies
60-03 History of probability theory
62-03 History of statistics
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[1] Accardi, L. and Lu, Y. G. (1993). A continous version of de Finetti’s theorem. Ann. Probab. 21 1478-1493. · Zbl 0778.60003
[2] Aldous, D. (1981). Representations for partially exchangeable array s of random variables. J. Multivariate Anal. 11 581- 598. · Zbl 0474.60044
[3] Aldous, D. (1985). Exchangeability and related topics. Ecole d’Eté de Probabilités de Saint Flour XIII. Lecture Notes in Math. 1117. Springer, Berlin. · Zbl 0562.60042
[4] Barlow, R. E. (1992). Introduction to de Finetti (1937) foresight: its logical laws, its subjective sources. In Breakthroughs in Statistics 1. Foundations and Basic Theory (S. Kotz and N. L. Johnson, eds.) 127-133. Springer, New York.
[5] Barlow, R. E., Wechsler, S. and Spizzichino, F. (1988). De Finetti’s approach to group decision making. In Bayesian Statistics 3 (J. M. Bernardo, M. H. DeGroot, D. V. Lindley and A. F. M. Smith, eds.) 1-15. Oxford Univ. Press. · Zbl 0731.62039
[6] Berti, P., Regazzini, E. and Rigo, P. (1990). De Finetti’s coherence and complete predictive inferences. Technical Report 90.5, CNR-IAMI, Milano.
[7] Berti, P., Regazzini, E. and Rigo, P. (1992). Finitely additive Radon-Nikodým theorem and concentration of a probability with respect to a probability. Proc. Amer. Math. Soc. 114 1069-1085. · Zbl 0749.60001
[8] Berti, P., Regazzini, E. and Rigo, P. (1994). Coherent prevision of random elements. Technical Report 94.15, CNR-IAMI, Milano. · Zbl 1155.60300
[9] Berti, P., Regazzini, E. and Rigo, P. (1996). Well-calibrated, coherent forecasting sy stems. Theory Probab. Appl. · Zbl 0909.62085
[10] Berti, P. and Rigo, P. (1989). Conglomerabilit a, disintegrabilit a e coerenza. Serie Ric. Teor. 11, Dip. Statist., Univ. Firenze.
[11] Berti, P. and Rigo, P. (1994). A Glivenko-Cantelli theorem for exchangeable random variables. Statistics and Probability Letters. · Zbl 0904.60025
[12] Bj örk, T. and Johansson, B. (1993). On theorems of de Finetti ty pe for continous time stochastic processes. Scand. J. Statist. 20 289-312. Blum, J., Chernoff, J., Rosenblatt, M. and Teicher, H. · Zbl 0815.62067
[13] . Central limit theorems for interchangeable processes. Canad. J. Math. 10 222-229. · Zbl 0081.35203
[14] Bochner, S. (1939). Additive set functions on groups. Ann. Math. 40 769-799. JSTOR: · Zbl 0024.04203
[15] B ühlmann, H. (1958). Le probl eme ”limite centrale” pour les variables aléatoires échangeable. C. R. Acad. Sci. Paris 246 534-536. · Zbl 0079.34503
[16] B ühlmann, H. (1960). Austauschbare stochastische Variabeln und ihre Grenzwertsätze. Univ. California Publications in Statistic 3 1-35. · Zbl 0096.11903
[17] Campanino, M. and Spizzichino, F. (1981). Prediction, sufficiency and representation of infinite sequences of exchangeable random variables. Technical report, Inst. Mathematics ”G. Castelnuovo,” Univ. Roma. Cantelli, F. P. (1917a). Sulla probabilit a come limite delle frequenze. Atti della Reale Accademia Nationale dei Lincei, Serie V, Rendiconti 26 39-45. Cantelli, F. P. (1917b). Su due applicazioni d’un teorema di G. Boole alla statistica matematica. Atti della Reale Accademia Nationale dei Lincei, Serie V, Rendiconti 26 295- 302.
[18] Cantelli, F. P. (1932). Una teoria astratta del calcolo delle probabilit a. Giorn. Istit. Ital. Attuari 3 257-265. Cantelli, F. P. (1933a). Considerazioni sulla legge uniforme dei grandi numeri e sulla generalizzazione di un fondamentale teorema del signor Lévy. Giorn. Istit. Ital. Attuari 4 327-350. Cantelli, F. P. (1933b). Sulla determinazione empirica delle leggi di probabilit a. Giorn. Istit. Ital. Attuari 4 421-424. · Zbl 0005.36504
[19] Castellano, V. (1965). Corrado Gini: a memoir. Metron 24 3-84. · Zbl 0131.00502
[20] Castelnuovo, G. (1919). Calcolo delle Probabilit a e Applicazioni, 1st ed. Soc. Ed. Dante Alighieri, Milano. · JFM 47.0480.04
[21] Chisini, O. (1929). Sul concetto di media. Periodico di Matematiche 9 105-116. · JFM 55.0918.01
[22] Cifarelli, D. M. and Regazzini, E. (1982). Some considerations about mathematical statistics teaching methodology suggested by the concept of exchangeability. In Exchangeability in Probability and Statistics (G. Koch and F. Spizzichino, eds.) 185-205. North-Holland, Amsterdam. · Zbl 0491.62006
[23] Cifarelli, D. M. and Regazzini, E. (1987). On a general definition of concentration function. Sankhy\?a Ser. B 49 307-319. · Zbl 0647.62023
[24] Cifarelli, D. M. and Regazzini, E. (1990). Distribution functions of means of a Dirichlet process. Ann. Statist. 18 429- 442. [Correction: Ann. Statist. (1994) 22 1633-1634.] · Zbl 0706.62012
[25] Cifarelli, D. M. and Regazzini, E. (1993). Some remarks on the distribution functions of means of a Dirichlet process. Technical Report 93.4, CNR-IAMI, Milano. · Zbl 0706.62012
[26] Cramér, H. (1934). Su un teorema relativo alla legge uniforme dei grandi numeri. Giorn. Istit. Ital. Attuari 5 3-15. · Zbl 0008.36801
[27] Cramér, H. (1935). Sugli sviluppi asintotici di funzioni di ripartizione in serie di polinomi di Hermite. Giorn. Istit. Ital. Attuari 6 141-157. · Zbl 0011.40706
[28] Crisma, L. (1971). Alcune valutazioni quantitative interessanti la proseguibilit a di processi aleatori scambiabili. Rend. Istit. Mat. Univ. Trieste 3 96-124. · Zbl 0224.60025
[29] Crisma, L. (1982). Quantitative analysis of exchangeability in alternative processes. In Exchangeability in Probability and Statistics (G. Koch and F. Spizzichino, eds.) 207-216. NorthHolland, Amsterdam. · Zbl 0493.60044
[30] Daboni, L. (1953). Considerazioni geometriche sulla condizione di equivalenza per una classe di eventi. Giorn. Istit. Ital. Attuari 16 58-65. · Zbl 0053.09806
[31] Daboni, L. (1975). Caratterizzazione delle successioni (funzioni) completamente monotone in termini di rappresentabilit a delle funzioni di sopravvivenza di particolari intervalli scambiabili tra successi (arrivi) contigui. Rend. Mat. 8 399-412. · Zbl 0316.60034
[32] Daboni, L. (1982). Exchangeability and completely monotone functions. In Exchangeability in Probability and Statistics (G. Koch and F. Spizzichino, eds.) 39-45. North-Holland, Amsterdam. · Zbl 0505.60005
[33] Daboni, L. and Wedlin, A. (1982). Statistica. Utet, Torino. · Zbl 0556.62003
[34] David, H. A. (1981). Order Statistics, 2nd ed. Wiley, New York. · Zbl 0553.62046
[35] Dawid, A. P. (1978). Extendibility of spherical matrix distributions. J. Multivariate Anal. 8 567-572. de Finetti, B. See separate list following the References section. · Zbl 0398.62009
[36] De Moivre, A. (1711). De mensura sortis. Philosophical Transactions of the Roy al Society (London) 27 213-264.
[37] Diaconis, P. (1977). Finite forms of de Finetti’s theorem on exchangeability. Sy nth ese 36 271-281. · Zbl 0397.60005
[38] Diaconis, P. (1988). Recent progress on de Finetti’s notions of exchangeability. In Bayesian Statistics 3 (J. M. Bernardo, M. H. DeGroot, D. V. Lindley and A. F. M. Smith, eds.) 111- 125. Oxford Univ. Press. · Zbl 0707.60033
[39] Diaconis, P., Eaton, M. L. and Lauritzen, S. L. (1992). Finite de Finetti theorems in linear models and multivariate analysis. Scand. J. Statist. 19 289-315. Diaconis, P. and Freedman, D. (1980a). de Finetti’s theorem for Markov chains. Ann. Probab. 8 115-130. Diaconis, P. and Freedman, D. (1980b). Finite exchangeable sequences. Ann. Probab. 8 745-764. · Zbl 0434.60034
[40] Diaconis, P. and Freedman, D. (1984). Partial exchangeability and sufficiency. In Proceedings of the Indian Statistical Institute Golden Jubilee International Conference on Statistics: Applications and New Directions (J. K. Ghosh and J. Roy, eds.) 205-236. Indian Statistical Institute, Calcutta.
[41] Diaconis, P. and Freedman, D. (1987). A dozen de Finetti-sty le results in search of a theory. Ann. Inst. H. Poincaré Probab. Statist. 23 394-423. · Zbl 0619.60039
[42] Diaconis, P. and Freedman, D. (1988). Conditional limit theorems for exponential families and finite versions of de Finetti’s theorem. J. Theoret. Probab. 1 381-410. · Zbl 0655.60029
[43] Diaconis, P. and Freedman, D. (1990). Cauchy’s equation and de Finetti’s theorem. Scand. J. Statist. 17 235-250. · Zbl 0738.60026
[44] Doob, J. L. (1953). Stochastic Processes. Wiley, New York. · Zbl 0053.26802
[45] Dubins, L. E. (1975). Finitely additive conditional probabilities, conglomerability and disintegrations. Ann. Probab. 3 89-99. · Zbl 0302.60002
[46] Dubins, L. E. (1983). Some exchangeable probabilities which are singular with respect to all presentable probabilities. Z. Wahrsch. Verw. Gebiete 64 1-6. · Zbl 0521.60038
[47] Dubins, L. E. and Freedman, D. (1979). Exchangeable processes need not be mixtures of independent identically distributed random variables. Z. Wahrsch. Verw. Gebiete 48 115-132. · Zbl 0388.60036
[48] Eaton, M. L., Fortini, S. and Regazzini, E. (1993). Spherical sy mmetry: an elementary justification. Journal of the Italian Statistical Society 2 1-16. · Zbl 1446.62133
[49] Epifani, I. and Lijoi, A. (1995). Some considerations on a version of the law of the iterated logarithm due to Cantelli. Technical Report 95.21, CNR-IAMI, Milano. · Zbl 1213.60059
[50] Ferguson, T. S. (1973). A bay esian analysis of some nonparametric problems. Ann. Statist. 1 209-230. · Zbl 0255.62037
[51] Ferguson, T. S., Phadia, E. G. and Tiwari, R. C. (1992). Bayesian nonparametric inference. In Current Issues in Statistical Inference: Essay s in Honour of D. Basu (M. Ghosh and P. K. Pathak, eds.). IMS, Hay ward, CA. · Zbl 0770.62025
[52] Fichera, G. (1987). Interventi invitati al Convegno ”Ricordo di Bruno de Finetti Professore nell’Ateneo triestino.” Atti 26-31. Dip. Matematica Applicata alle Scienze Economiche Statistiche e Attuariali, Univ. Trieste Pub. No. 1.
[53] Fisher, R. A. (1921). On ”probable error” of a coefficient of correlation deduced from a small sample. Metron 1 3-32.
[54] Fisher, R. A. (1925). Applications of ”Student’s distribution.” Metron 5 90-120. · JFM 51.0387.01
[55] Fortini, S., Ladelli, L. and Regazzini, E. (1996). A central limit problem for partially exchangeable random variables. Theory Probab. Appl. 41 353-379. · Zbl 0881.60019
[56] Fortini, S. and Ruggeri, F. (1994). On defining neighbourhoods of measures through the concentration function. Sankhy\?a Ser. A 56 444-457. Fréchet, M. (1930a). Sur l’extension du théor eme des probabilités totales au cas d’une suite infinie d’événements. Rendiconti del Reale Istituto Lombardo di Scienze e Lettere 63 899-900. Fréchet, M. (1930b). Sur l’extension du théor eme des probabilités totales au cas d’une suite infinie d’événements. Rendiconti del Reale Istituto Lombardo di Scienze e Lettere 63 1059-1062. Fréchet, M. (1930c). Sur la convergence ”en probabilité.” Metron 8 3-50. · Zbl 0846.62005
[57] Fréchet, M. and Halbwachs, M. (1925). Le calcul des Probabilités a la Porteé de Tous. Dunod, Paris. Freedman, D. (1962a). Mixtures of Markov processes. Ann. Math. Statist. 33 114-118. Freedman, D. (1962b). Invariance under mixing which generalize de Finetti’s theorem. Ann. Math. Statist. 33 916-923.
[58] Freedman, D. (1963). Invariants under mixing which generalize de Finetti’s theorem: continuous time parameter. Ann. Math. Statist. 34 1194-1216. · Zbl 0253.60064
[59] Freedman, D. (1980). A mixture of independent identically distributed random variables need not admit a regular conditional probability given the exchangeable -field. Z. Wahrsch. Verw. Gebiete 51 239-248. · Zbl 0432.60004
[60] Freedman, D. (1984). De Finetti’s theorem in a continuous time. Technical Report 36, Dept. Statistics, Univ. California, Berkeley.
[61] Gini, C. (1911). Considerazioni sulle probabilit a a posteriori ed applicazioni al rapporto dei sessi nelle nascite umane. Studi economico-giuridici dell’Universit a di Cagliari anno III. · Zbl 0036.08403
[62] Gini, C. (1939). I pericoli della statistica. Supplemento Statistico ai Nuovi Problemi di Politica, Storia ed Economia 5 1-44. · JFM 66.0629.02
[63] Glivenko, V. (1933). Sulla determinazione empirica delle leggi di probabilit a. Giorn. Istit. Ital. Attuari 4 92-99. · Zbl 0006.17403
[64] Glivenko, V. (1936). Sul teorema limite della teoria delle funzioni caratteristiche. Giorn. Istit. Ital. Attuari 7 160-167. · Zbl 0014.02703
[65] Glivenko, V. (1938). Théorie Générale des Structures. Hermann, Paris. · Zbl 0022.24304
[66] Haag, J. (1928). Sur un probl eme général de probabilités et ses diverses applications. In Proceedings of the International Congress of Mathematicians 659-674. Univ. Toronto Press. · JFM 54.0548.04
[67] Hardy, G. H., Littlewood, J. E. and P óly a, G. (1934). Inequalities. Cambridge Univ. Press. · JFM 60.0169.01
[68] Hewitt, E. and Savage, L. J. (1955). Sy mmetric measures on Cartesian products. Trans. Amer. Math. Soc. 80 470-501. JSTOR: · Zbl 0066.29604
[69] Holzer, S. (1985). On coherence and conditional prevision. Boll. Un. Mat. Ital. C 6 1 441-460. · Zbl 0584.60001
[70] Horn, A. and Tarski, A. (1948). Measures on Boolean algebras. Trans. Amer. Math. Soc. 64 467-497. JSTOR: · Zbl 0035.03001
[71] Kallenberg, O. (1973). Canonical representations and convergence criteria for processes with interchangeable increments. Z. Wahrsch. Verw. Gebiete 27 23-36. · Zbl 0253.60060
[72] Kallenberg, O. (1974). Path properties of processes with independent and interchangeable increments. Z. Wahrsch. Verw. Gebiete 28 257-271. · Zbl 0266.60028
[73] Kallenberg, O. (1975). Infinitely divisible processes with interchangeable increments and random measures under convolution. Z. Wahrsch. Verw. Gebiete 32 309-321. · Zbl 0296.60020
[74] Kallenberg, O. (1982). Characterizations and embedding properties in exchangeability. Z. Wahrsch. Verw. Gebiete 60 249- 281. · Zbl 0481.60019
[75] Kendall, M. G. (1938). A new measure of rank correlation. Biometrika 30 81-93. Khinchin, A. (1932a). Sulle successioni stazionarie di eventi. Giorn. Istit. Ital. Attuari 3 267-272. Khinchin, A. (1932b). Sur les classes d’événements équivalentes. Mathematiceskii Sbornik, Recueil. Math. Moscou 39 40-43. · Zbl 0019.13001
[76] Khinchin, A. (1935). Sul dominio di attrazione della legge di Gauss. Giorn. Istit. Ital. Attuari 6 371-393. · Zbl 0013.02901
[77] Khinchin, A. (1936). Su una legge dei grandi numeri generalizzata. Giorn. Istit. Ital. Attuari 7 365-377. · Zbl 0015.16701
[78] Klass, M. and Teicher, H. (1987). The central limit theorem for exchangeable random variables without moments. Ann. Probab. 15 138-153. · Zbl 0619.60024
[79] Kolmogorov, A. N. (1929). Sur la loi des grands nombres. Atti della Reale Accademia Nazionale dei Lincei, Serie VI, Rendiconti 9 470-474. · JFM 55.0296.03
[80] Kolmogorov, A. N. (1930). Sur la notion de la moy enne. Atti della Reale Accademia Nazionale dei Lincei, Serie VI, Rendiconti 12 388-391.
[81] Kolmogorov, A. N. (1931). Über die analytischen Methoden in der Wahrscheinlichkeitsrechnung. Math. Ann. 104 415-458. Kolmogorov, A. N. (1932a). Sulla forma generale di un processo stocastico omogeneo. Un problema di Bruno de Finetti. Atti della Reale Accademia Nazionale dei Lincei, Serie VI, Rendiconti 15 805-808. Kolmogorov, A. N. (1932b). Ancora sulla forma generale di un processo omogeneo. Atti R. Acc. Lincei, Serie VI, Rendiconti 15 866-869. Kolmogorov, A. N. (1933a). Sulla determinazione empirica di una legge di distribuzione. Giorn. Istit. Ital. Attuari 4 92-99. Kolmogorov, A. N. (1933b). Grundbegriffe der Wahrscheinlichkeitsrechnung. Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Springer, Berlin. [English translation (1956) Foundations of the Theory of Probability, 2nd ed. Chelsea, New York.] · Zbl 0074.12202
[82] K üchler, V. and Lauritzen, S. L. (1989). Exponential families extreme point models, and minimal space-time invariant functions for stochastic processes with stationary and independent increments. Scand. J. Statist. 15 237-261. · Zbl 0697.62008
[83] Lauritzen, S. L. (1975). General exponential models for discrete observations. Scand. J. Statist. 2 23-33. · Zbl 0301.62003
[84] Lauritzen, S. L. (1988). Extremal Families and Sy stems of Sufficient Statistics. Lecture Notes in Statist. 49. Springer, New York. Lévy, P. (1931a). Sulla legge forte dei grandi numeri. Giorn. Istit. Ital. Attuari 2 1-21. Lévy, P. (1931b). Sur quelques questions de calcul des probabilités. Prace Matematy ezno Fizy czne Warsaw 39 19-28.
[85] Lévy, P. (1934). Sur les intégrales dont les éléments sont des variables aléatoires indépendantes. Ann. Scuola Norm. Sup. Pisa 3 337-366; 4 217-235. · Zbl 0010.07004
[86] Lévy, P. (1935). Sull’applicazione della geometria dello spazio di Hilbert allo studio delle successioni di variabili casuali. Giorn. Istit. Ital. Attuari 6 13-28. · Zbl 0011.26202
[87] Lundberg, F. (1903). Approximerad framställning av sannolikhetsfunktionen. Återförsäkring av kollektivrisker. Thesis, Uppsala.
[88] Nagumo, M. (1930). Über eine Klasse von Mittelwenten. Japan J. Math. 7 71-79. · JFM 56.0198.03
[89] Ney man, J. (1935). Su un teorema concernente le cosiddette statistiche sufficienti. Giorn. Istit. Ital. Attuari 6 320-334. · Zbl 0013.17404
[90] Ottaviani, G. (1939). Sulla teoria astratta del calcolo delle probabilit a proposta dal Cantelli. Giorn. Istit. Ital. Attuari 10 10-40. · Zbl 0021.42104
[91] Paley, R. E., Wiener, N. and Zy gmund, A. (1933). Note on random functions. Math. Z. 37 647-668. · Zbl 0007.35402
[92] Petris, G. and Regazzini, E. (1994). About the characterization of mixtures of Markov chains. Unpublished manuscript. · Zbl 1446.62053
[93] Piccinato, L. (1986). De Finetti’s logic of uncertainty and its impact on statistical thinking and practise. In Bayesian Inference and Decision Techniques (P. K. Goel and A. Zellner, eds.) 13-30. North-Holland, Amsterdam. · Zbl 0617.62003
[94] Ramakrishnan, S. and Sudderth, W. D. (1988). A sequence of coin toss variables for which the strong law fails. Amer. Math. Monthly 95 939-941. JSTOR: · Zbl 0675.60024
[95] Regazzini, E. (1985). Finitely additive conditional probabilities. Rend. Sem. Mat. Fis. Milano 55 69-89. · Zbl 0631.60001
[96] Regazzini, E. (1987). Argomenti di statistica. Parti 1-2. Dip. Matematica ”F. Enriques,” Univ. Milano.
[97] Regazzini, E. and Petris, G. (1992). Some critical aspects of the use of exchangeability in statistics. Journal of the Italian Statistical Society 1 103-130. · Zbl 1446.62053
[98] Ressel, P. (1985). De Finetti-ty pe theorems: an analytic approach. Ann. Probab. 13 898-922. · Zbl 0579.60012
[99] Rigo, P. (1988). Un teorema di estensione per probabilit a condizionate finitamente additive. Atti della XXXIV Riunione Scientifica della Societ a Italiana di Statistica 2 27-34.
[100] Romanowsky, V. (1925). On the moments of standard deviation and of correlation coefficient in samples from normal. Metron 5 3-46. · JFM 51.0388.03
[101] Romanowsky, V. (1928). On the criteria that two given samples belong to the same normal population. Metron 7 3-46. · JFM 52.0532.02
[102] Romanowsky, V. (1931). Sulle probabilit a a ”posteriori.” Giorn. Istit. Ital. Attuari 2 493-511. · JFM 57.0621.01
[103] Savage, L. J. (1954). The Foundations of Statistics. Wiley, New York. · Zbl 0055.12604
[104] Scarsini, M. and Verdicchio, L. (1993). On the extendibility of partially exchangeable random vectors. Statist. Probab. Lett. 16 43-46. · Zbl 0764.60041
[105] Schervish, M. J., Seidenfeld, T. and Kadane, J. B. (1984). The extent of non-conglomerability of finitely additive probabilities. Z. Wahrsch. Verw. Gebiete 66 205-226. · Zbl 0525.60003
[106] Seneta, E. (1992). On the history of the strong law of large numbers and Boole’s inequality. Historia Mathematica 19 24-39. · Zbl 0744.01008
[107] Slutsky, E. (1934). Alcune applicazioni dei coefficienti di Fourier all’analisi delle funzioni aleatorie stazionarie. Giorn. Istit. Ital. Attuari 5 435-482. · Zbl 0010.31203
[108] Slutsky, E. (1937). Alcune proposizioni sulla teoria delle funzioni aleatorie. Giorn. Istit. Ital. Attuari 8 183-199. · Zbl 0017.02603
[109] Smith, A. F. M. (1981). On random sequences with centered spherical sy mmetry. J. Roy. Statist. Soc. Ser. B 43 208-209. Sobczy k, A. and Hammer, P. C. (1944a). A decomposition of additive set functions. Duke Math. J. 11 839-846. Sobczy k, A. and Hammer, P. C. (1944b). The ranges of additive set functions. Duke Math. J. 11 847-851. JSTOR:
[110] Spizzichino, F. (1982). Extendibility of sy mmetric probability distributions and related bounds. In Exchangeability in Probability and Statistics (G. Koch and F. Spizzichino, eds.) 313-320. North-Holland, Amsterdam. · Zbl 0495.62018
[111] Spizzichino, F. (1988). Sy mmetry conditions on opinion assessment leading to time-transformed exponential models. In Accelerated Time Testing and Experts’ Opinions (D. V. Lindley, C. A. Clarotti, eds.) 83-97. North-Holland, Amsterdam. · Zbl 0688.62006
[112] Stuart, A. and Ord, K. (1994). Kendall’s Advanced Theory of Statistics 1. Distribution Theory. Edward Arnold, London. · Zbl 0880.62012
[113] Thatcher, A. R. (1970). A note on the early solutions of the problem of the duration of play. In Studies in the History of Statistics and Probability (E. S. Pearson and Sir M. Kendall, eds.) 1 127-130. Griffin, London. · Zbl 0078.32703
[114] von Plato, J. (1991). Finite partial exchangeability. Statist. Probab. Lett. 11 99-102. · Zbl 0727.60038
[115] Wald, A. (1944). On cumulative sums of random variables. Ann. Math. Statist. 15 283-296. · Zbl 0063.08122
[116] Wegman, E. J. (1986). Some personal recollections of Harald Cramér on the development of statistics and probability. Statist. Sci. 1 528-535. · Zbl 0955.01516
[117] Wood, G. R. (1992). Binomial mixtures and finite exchangeability. Ann. Probab. 20 1167-1173. · Zbl 0759.60010
[118] Zabell, S. L. (1995). Characterizing Markov exchangeable sequences. J. Theoret. Probab. 8 175-178. · Zbl 0814.60029
[119] Zaman, A. (1984). Urn models for Markov exchangeability. Ann. Probab. 12 223-229. · Zbl 0542.60065
[120] Zaman, A. (1986). A finite form of de Finetti theorem for stationary Markov exchangeability. Ann. Probab. 14 1418-1427. · Zbl 0608.60032
[121] . Atti del Convegno ”Ricordo di Bruno de Finetti Professore nell’Ateneo triestino.” Dip. Matematica applicata alle scienze economiche statistiche e attuariali. ”Bruno de Finetti” Pub. No. 1.
[122] Daboni, L. (1987). Bruno de Finetti. Boll. Un. Mat. Ital. A 283- 308. · Zbl 0619.01023
[123] Gani, J., ed. (1982). The Making of Statisticians. Springer, New York. · Zbl 0489.62002
[124] Goel, P. K. and Zellner, A., eds. (1986). Bayesian Inference and Decision Techniques. Essay s in Honor of Bruno de Finetti. North-Holland, Amsterdam. · Zbl 0608.00012
[125] Koch, G. and Spizzichino, F., eds. (1982). Exchangeability in Probability and Statistics. North-Holland, Amsterdam. · Zbl 0485.00016
[126] Kotz, S. and Johnson, N. L., eds. (1992). Breakthroughs in Statistics 1. Foundations and Basic Theory. Springer, New York. · Zbl 0758.62001
[127] Ky burg, H. E., Jr. and Smokler, H. E., eds. (1980). Studies in Subjective Probability. Krieger, Malabar, FL. · Zbl 0489.60001
[128] . La Matematica Italiana tra le Due Guerre Mondiali. Milano, Gargnano del Garda, 8-11 ottobre 1986. Pitagora Ed., Bologna.
[129] Lindley, D. V. (1989). De Finetti, Bruno. In Ency clopedia of Statistical Sciences (Supplement) 46-47. Wiley, New York.
[130] Regazzini, E. (1987). Probability theory in Italy between the two world wars. A brief historical review. Metron 44 5-42. · Zbl 0658.60004
[131] von Plato, J. (1994). Creating Modern Probability. Cambridge Univ. Press.
[132] VI, Rend. 12 367-373. (1930e). Sulla propriet a conglomerativa delle probabilit a subordinate. Atti Reale Accademia Nazionale dei Lincei, Serie VI, Rend. 12 278-282. (1930f). Introduzione matematica alla statistica metodologica. Riassunto di un corso di lezioni per laureati, Istituto Centrale di Statistica, Roma. (1930g). Funzione caratteristica di un fenomeno aleatorio. Atti Reale Accademia Nazionale dei Lincei, Mem. 4 86-133. (1930h). Le funzioni caratteristiche di legge istantanea. Atti Reale Accademia Nazionale dei Lincei, Serie VI, Rend. 12 278-282. (1930i). Calcolo della differenza media. Metron 8 89-94 (with U. Paciello). (1931a). Probabilismo. Saggio critico sulla teoria della probabilit a e sul valore della scienza. Logos Biblioteca di Filosofia 163-219. Perrella, Napoli. (1931b). Sul significato soggettivo della probabilit a. Fundamenta Mathematicae 17 298-329. (1931c). Le funzioni caratteristiche di legge istantanea dotate di valori eccezionali. Atti Reale Accademia Nazionale dei Lincei, Serie VI, Rend. 14 259-265. (1931d). Sui metodi proposti per il calcolo della differenza media. Metron 9 47-52. (1931e). Sul concetto di media. Giorn. Istit. Ital. Attuari 2 369- 396. (1931f). Calcoli sullo sviluppo futuro della popolazione italiana. Annuali di Statistica 10 3-130 (with C. Gini). (1931g). Le leggi differenziali e la rinunzia al determinismo. Rendiconti del Seminario Matematico dell’Universitá di Roma 7 63-74. (1932a). Funzione caratteristica di un fenomeno aleatorio. In Atti del Congresso Internazionale dei Matematici 179-190. Zanichelli, Bologna.
[133] . La matematica nelle concezioni e nelle applicazioni statistiche. Statistica 3 89-112.
[134] . Sull’impostazione assiomatica del calcolo delle probabilit a. Aggiunta alla nota sull’assiomatica della probabilit a (Two articles). Annali Triestini 19 sez. II 29-81; 20 sez. II 3-20.
[135] . Recent suggestions for the reconciliation of theories of probability. Proc. Second Berkeley Sy mp. Math. Statist. Probab. 217-225. Univ. California Press, Berkeley. · Zbl 0044.13401
[136] . Gli eventi equivalenti e il caso degenere. Giorn. Istit. Ital. Attuari 15 40-64. (1953a). Trasformazioni di numeri aleatori atte a far coincidere distribuzioni diverse. Giorn. Istit. Ital. Attuari 16 51-57. (1953b). Sulla nozione di ”dispersione” per distribuzioni a pi u dimensioni. In Atti del IV Congresso UMI 587-596. Cremonese, Roma. (1955a). La struttura delle distribuzioni in un insieme astratto qualsiasi. Giorn. Istit. Ital. Attuari 18 12-28. [English translation in B. de Finetti, Probability, Induction and Statistics (1972) 129-140. Wiley, New York).] (1955b). Sulla teoria astratta della misura e dell’integrazione. Ann. Mat. Pura Appl. 40 307-319. [English translation in B. de Finetti, Probability, Induction and Statistics (1972) 115-128. Wiley, New York.] · Zbl 0049.09703
[137] . La probabilit a e la statistica nei rapporti con l’induzione, secondo i diversi punti di vista. Atti corso CIME su Induzione e Statistica Varenna 1-115. Cremonese, Roma. [English translation in B. de Finetti, Probability, Induction and Statistics (1972) 147-227. Wiley, New York.]
[138] . Sulla proseguibilit a di processi aleatori scambiabili. Rend. Istit. Mat. Univ. Trieste 1 53-67. · Zbl 0218.60106
[139] . La probabilit a: guardarsi dalle falsificazioni. Scientia 111 255-281. [English translation in Studies in Subjective Probability (1980) (H. E. Ky burg and H. E. Smokler, eds.) 193-224. Krieger, Malabar, FL.]
[140] . Teoria delle Probabilit a. Einaudi, Torino. Two volumes. [English translation, Theory of Probability (1975) Wiley, New York, two volumes.]
[141] . Probability, Induction and Statistics. Wiley, New York.
[142] . Scritti (1926-1930). Cedam, Padova.
[143] . Scritti (1931-1936). Pitagora Ed., Bologna.
[144] . Probabilit a e Induzione (Induction and Probability) (P. Monari and D. Cocchi, eds.). Clueb Ed., Bologna.
[145] . Filosofia della probabilit a (A. Mura, ed.). Theoria Il Saggiatore, Milano.
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