De Finetti's contribution to probability and statistics
Open Access
- 1 November 1996
- journal article
- Published by Institute of Mathematical Statistics in Statistical Science
- Vol. 11 (4) , 253-282
- https://doi.org/10.1214/ss/1032280303
Abstract
This paper summarizes the scientific activity of de Finetti in probability and statistics. It falls into three sections: Section 1 includes an essential biography of de Finetti and a survey of the basic features of the scientific milieu in which he took the first steps of his scientific career; Section 2 concerns de Finetti's work in probability: (a) foundations, (b) processes with independent increments, (c) sequences of exchangeable random variables, and (d) contributions which fall within other fields; Section 3 deals with de Finetti's contributions to statistics: (a) description of frequency distributions, (b) induction and statistics, (c) probability and induction, and (d) objectivistic schools and theory of decision. Many recent developments of de Finetti's work are mentioned here and briefly described.Keywords
This publication has 50 references indexed in Scilit:
- A central limit problem for partially exchangeable random variablesTeoriya Veroyatnostei I Ee Primeneniya, 1996
- A Continuous Version of De Finetti's TheoremThe Annals of Probability, 1993
- On the history of the Strong Law of Large Numbers and Boole's inequalityHistoria Mathematica, 1992
- Conditional limit theorems for exponential families and finite versions of de Finetti's theoremJournal of Theoretical Probability, 1988
- Some Personal Recollections of Harald Cramer on the Development of Statistics and ProbabilityStatistical Science, 1986
- Finitely additive conditional probabilitiesRendiconti del Seminario Matematico e Fisico di Milano, 1985
- Exchangeable processes need not be mixtures of independent, identically distributed random variablesProbability Theory and Related Fields, 1979
- Finitely Additive Conditional Probabilities, Conglomerability and DisintegrationsThe Annals of Probability, 1975
- Central Limit Theorems for Interchangeable ProcessesCanadian Journal of Mathematics, 1958
- De mensura sortis, seu, de probabilitate eventuum in ludis a casu fortuito pendentibusPhilosophical Transactions of the Royal Society of London, 1710