- Statist. Sci.
- Volume 11, Number 4 (1996), 253-282.
De Finetti's contribution to probability and statistics
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.
Statist. Sci., Volume 11, Number 4 (1996), 253-282.
First available in Project Euclid: 17 September 2002
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Associative mean Bayesian nonparametric statistics Bayes-Laplace paradigm completely additive probabilities correlation and monotone dependence exchangeable and partially exchangeable random variables finitely additive probabilities gambler's ruin Glivenko-Cantelli theorem infinitely decomposable laws predictive inference prevision principle of coherence processes with independent increments reasoning by induction statistical decision subjective probability utility function
Cifarelli, Donato Michele; Regazzini, Eugenio. De Finetti's contribution to probability and statistics. Statist. Sci. 11 (1996), no. 4, 253--282. doi:10.1214/ss/1032280303. https://projecteuclid.org/euclid.ss/1032280303