Skip to main content
Log in

Alle origini del concetto di scambiabilita’ in probabilita’ e in statistica. Un ricordo di Bruno De Finetti

  • Conferenze
  • Published:
Rendiconti del Seminario Matematico e Fisico di Milano Aims and scope Submit manuscript

Sunto

Si ricorda Bruno de Finetti (1906–1985), illustrando le motivazioni delle sue ricerche sulle successioni di eventi scambiabili. I risultati ottenuti, tra cui il celebre teorema di rappresentazione, coronarono l’indagine profonda sul concetto di probabilità, che il de Finetti aveva intrapreso quando ancora era studente universitario a Milano.

Summary

This is the text of a conference delivered as a memento of Bruno de Finetti who took a degree in mathematics at the University of Milan (1927). In 1926, de Finetti approached probability and, in 1928, he delivered a paper to the International Congress of Mathematics held at Bologna, including the definition of exchangeable events and the famous representation theorem. This conference summarizes the main results of that fundamental paper in relation to de Finetti’s conception of statistical inference.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Bibliografia

  • Aldous D. J. (1985). Exchangeability and related topics.Lecture Notes in Mathematics 1117; 1–198, Springer Verlag, Berlin.

    Google Scholar 

  • Castelnuovo G. (1925).Calcolo delle probabilità. (II Ediz.) Zanichelli, Bologna.

    Google Scholar 

  • de Finetti B. (1932). Funzione caratteristica di un fenomeno aleatorio.R. Acc. Naz. Lincei, Memorie Cl. Sc. fisiche, 6° Serie,4, 86–133.

    Google Scholar 

  • de Finetti B. (1932). Funzione caratteristica di un fenomeno aleatorio.Atti Congresso Int. Matem. (Bologna, 1928)6, 179–190. Zanichelli, Bolona.

    Google Scholar 

  • de Finetti B. (1933). Classi di numeri aleatori quivalenti (107–110). La legge dei grandi numeri nel caso di numeri aleatori equivalenti (203–207). Sulla legge di distribuzione dei valori in una successione di numeri aleatori equivalenti (279–284).R. Accad. Naz. Lincei, Rf S 6a,18.

  • de Finetti B. (1937). La prévision, ses lois logiques, ses sources subjectives.Ann. de l’Inst. H. Poincaré 7. 1–68.

    MATH  Google Scholar 

  • de Finetti B. (1938). Sur la condition de équivalence partielle,Act. Scient. Ind. 739, 5–18.

    Google Scholar 

  • de Finetti B. (1976). La probabilità: guardarsi dalle contraffazioni.Scientia 111, 225–281.

    Google Scholar 

  • Diaconis P. eFreedman D. (1984). Partial exchangeability and sufficiency.Statistics: Applications and new directions. (J. K. Ghosh nd J. Royeds.), 205–236, Indian Statistical Institute.

  • Feller W. (1971).An introduction to probability theory and its applications II (Second Edit.) J. Wiley, New York.

    MATH  Google Scholar 

  • Haag J. (1928). Sur un problème général de probabilités et ses diverses applications.Proceed. Int. Congr. Mathem. (Toronto, 1924)1, 659–674. Univ. Press., Poronto.

    Google Scholar 

  • Hausdorff F. (1923). Moment probleme für ein endliches Intervall.Mathematische Zeitschrift 16, 220–248.

    Article  MathSciNet  Google Scholar 

  • Heath D. eSudderth W. (1976). de Finetti’s theorem for exchangeable random variables.Amer. Statistician 30, 188–189.

    Article  MathSciNet  MATH  Google Scholar 

  • Hewitt E. eSavage L. J. (1955). Symmetric measures on Cartesian products.Trans. Amer. Math. Soc. 80, 470–501.

    Article  MathSciNet  MATH  Google Scholar 

  • Kyburg H. E. Jr. eSmokler H. E. eds. (1964).Studies in Subjective Probability. J. Wiley, New York.

    MATH  Google Scholar 

  • Koch G. eSpizzichino F. eds. (1982).Exchangeability in Probability and Statistic.North-Holland, Amsterdam.

    Google Scholar 

  • Laplace P. S. (1774). Memoire sur la probabilité des causes par les événements, (Ristampata inOeuvres complètes de Laplace, vol. 8, 27–65, Gauthier-Villars, Paris).

    Google Scholar 

  • Renyi A. (1970).Probability theory. North-Holland, Amsterdam.

    Google Scholar 

  • Ressel P. (1985). de Finetti-type theorems: an analytical approach,Ann. Probab. 13, 898–922.

    Article  MathSciNet  MATH  Google Scholar 

  • Ressel P. (1987). A very general de Finetti-type theorem.Probability and Bayesian statistics (R. Viertl, ed.) 403–413. Plenum Press, New York.

    Google Scholar 

  • Von Mises R. eGeiringer H. (1964).The mathematical theory of probability and statistics. Academic Press, New York.

    Google Scholar 

  • Zabell S. L. (1982). W. E. Johnson «sufficientness» postulate.Ann. Statis. 10, 1091–1099.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

(Conferenza tenuta il 16 marzo 1987)

Ricerca effettuata col contributo del MPI (40% Modelli Probabilistici) e del CNR-GNAFA.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Regazzini, E. Alle origini del concetto di scambiabilita’ in probabilita’ e in statistica. Un ricordo di Bruno De Finetti. Seminario Mat. e. Fis. di Milano 57, 261–273 (1987). https://doi.org/10.1007/BF02925054

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02925054

AMS 1980 subject classification

Navigation