Finite row-column exchangeable arrays

Bruno Bassan; Marco Scarsini

Commentationes Mathematicae Universitatis Carolinae (1998)

  • Volume: 39, Issue: 1, page 137-145
  • ISSN: 0010-2628

Abstract

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We generalize well known results about the extendibility of finite exchangeable sequences and provide necessary conditions for finite and infinite extendibility of a finite row-column exchangeable array. These conditions depend in a simple way on the correlation matrix of the array.

How to cite

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Bassan, Bruno, and Scarsini, Marco. "Finite row-column exchangeable arrays." Commentationes Mathematicae Universitatis Carolinae 39.1 (1998): 137-145. <http://eudml.org/doc/22324>.

@article{Bassan1998,
abstract = {We generalize well known results about the extendibility of finite exchangeable sequences and provide necessary conditions for finite and infinite extendibility of a finite row-column exchangeable array. These conditions depend in a simple way on the correlation matrix of the array.},
author = {Bassan, Bruno, Scarsini, Marco},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {extendibility; partial exchangeability; de Finetti's theorem; extendibility; partial exchangeability},
language = {eng},
number = {1},
pages = {137-145},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Finite row-column exchangeable arrays},
url = {http://eudml.org/doc/22324},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Bassan, Bruno
AU - Scarsini, Marco
TI - Finite row-column exchangeable arrays
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 1
SP - 137
EP - 145
AB - We generalize well known results about the extendibility of finite exchangeable sequences and provide necessary conditions for finite and infinite extendibility of a finite row-column exchangeable array. These conditions depend in a simple way on the correlation matrix of the array.
LA - eng
KW - extendibility; partial exchangeability; de Finetti's theorem; extendibility; partial exchangeability
UR - http://eudml.org/doc/22324
ER -

References

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  8. Krauss P.H., Representations of symmetric probability models, Journal of Symbolic Logic 34 (1969), 183-193. (1969) MR0275482
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