The unsung de Finetti’s first paper about exchangeability

It is a singular fact that the first and pithy de Finetti’s essay on exchangeability has not earned the same reputation as that of others of his papers about the same subject. In fact, this paper contains, on the one hand, all the main results on sequences of exchangeable events, together with the...

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Autores principales:	Eugenio Regazzini, Federico Bassetti
Formato:	article
Lenguaje:	EN FR IT
Publicado:	Sapienza Università Editrice 2008
Materias:	characteristic function of a random phenomenon de finetti’s contributions to probability exchangeable events extendibility of exchangeable sequences Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/9fa3e3778618459bb10df78c638add05
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spelling	oai:doaj.org-article:9fa3e3778618459bb10df78c638add052021-11-29T14:10:37ZThe unsung de Finetti’s first paper about exchangeability1120-71832532-3350https://doaj.org/article/9fa3e3778618459bb10df78c638add052008-01-01T00:00:00Zhttps://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2008(1)/1-17.pdfhttps://doaj.org/toc/1120-7183https://doaj.org/toc/2532-3350It is a singular fact that the first and pithy de Finetti’s essay on exchangeability has not earned the same reputation as that of others of his papers about the same subject. In fact, this paper contains, on the one hand, all the main results on sequences of exchangeable events, together with the right subjectivistic interpretation of the role they play in the study of the connections between probability and frequencies. On the other hand, the paper makes use of mathematical methods abandoned, immediately after its publication, by de Finetti himself. The center of this methods is the so–called characteristic function of a random phenomenon. Independently of the destiny of the paper, we think that, apart from its undoubted historical value, it contains ideas susceptible of interesting new developments. Therefore, we have deemed it suitable to give here a detailed and faithful account of its content, for the benefit of the colleagues who are not in a position to understand Italian. Moreover, to emphasize the value of the paper at issue, we develop de Finetti’s brief hint to the extendibility of exchangeable sequences of events, to obtain a new explicit necessary and sufficient condition of an algebraic nature.Eugenio RegazziniFederico BassettiSapienza Università Editricearticlecharacteristic function of a random phenomenonde finetti’s contributions to probabilityexchangeable eventsextendibility of exchangeable sequencesMathematicsQA1-939ENFRITRendiconti di Matematica e delle Sue Applicazioni, Vol 28, Iss 1, Pp 1-17 (2008)
institution	DOAJ
collection	DOAJ
language	EN FR IT
topic	characteristic function of a random phenomenon de finetti’s contributions to probability exchangeable events extendibility of exchangeable sequences Mathematics QA1-939
spellingShingle	characteristic function of a random phenomenon de finetti’s contributions to probability exchangeable events extendibility of exchangeable sequences Mathematics QA1-939 Eugenio Regazzini Federico Bassetti The unsung de Finetti’s first paper about exchangeability
description	It is a singular fact that the first and pithy de Finetti’s essay on exchangeability has not earned the same reputation as that of others of his papers about the same subject. In fact, this paper contains, on the one hand, all the main results on sequences of exchangeable events, together with the right subjectivistic interpretation of the role they play in the study of the connections between probability and frequencies. On the other hand, the paper makes use of mathematical methods abandoned, immediately after its publication, by de Finetti himself. The center of this methods is the so–called characteristic function of a random phenomenon. Independently of the destiny of the paper, we think that, apart from its undoubted historical value, it contains ideas susceptible of interesting new developments. Therefore, we have deemed it suitable to give here a detailed and faithful account of its content, for the benefit of the colleagues who are not in a position to understand Italian. Moreover, to emphasize the value of the paper at issue, we develop de Finetti’s brief hint to the extendibility of exchangeable sequences of events, to obtain a new explicit necessary and sufficient condition of an algebraic nature.
format	article
author	Eugenio Regazzini Federico Bassetti
author_facet	Eugenio Regazzini Federico Bassetti
author_sort	Eugenio Regazzini
title	The unsung de Finetti’s first paper about exchangeability
title_short	The unsung de Finetti’s first paper about exchangeability
title_full	The unsung de Finetti’s first paper about exchangeability
title_fullStr	The unsung de Finetti’s first paper about exchangeability
title_full_unstemmed	The unsung de Finetti’s first paper about exchangeability
title_sort	unsung de finetti’s first paper about exchangeability
publisher	Sapienza Università Editrice
publishDate	2008
url	https://doaj.org/article/9fa3e3778618459bb10df78c638add05
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The unsung de Finetti’s first paper about exchangeability

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