Finite exchangeability and linear regression

Marco Scarsini and Bruno Bassan

Post-Print from HAL

Abstract: We consider a finite sequence of exchangeable binary random variables and assume that the conditional expected value of each variable is an average of the observed frequency of success and a prior guess. We obtain a representation of the law of the finite sequence as a beta-binomial. In this way we prove known results for infinite sequences by a simple passage to the limit. Our approach does not have the generality of the usual representation theorems for (finite or infinite) exchangeable sequences, but is very natural and is completely elementary.

Keywords: Exchangeability; Linear regression; Beta-binomial distribution; De Finetti's theorem (search for similar items in EconPapers)
Date: 1995
References: Add references at CitEc
Citations:

Published in Statistics and Probability Letters, 1995, Vol. 23, N°2, pp. 105-110. ⟨10.1016/0167-7152(94)00100-M⟩

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
Journal Article: Finite exchangeability and linear regression (1995)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-00541806

DOI: 10.1016/0167-7152(94)00100-M

Access Statistics for this paper

More papers in Post-Print from HAL
Bibliographic data for series maintained by CCSD ().