Finite row-column exchangeable arrays
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 1, pp. 137-145
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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.
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.
Classification :
60G09
Keywords: extendibility; partial exchangeability; de Finetti's theorem
Keywords: extendibility; partial exchangeability; de Finetti's theorem
Bassan, Bruno; Scarsini, Marco. Finite row-column exchangeable arrays. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 1, pp. 137-145. http://geodesic.mathdoc.fr/item/CMUC_1998_39_1_a13/
@article{CMUC_1998_39_1_a13,
author = {Bassan, Bruno and Scarsini, Marco},
title = {Finite row-column exchangeable arrays},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {137--145},
year = {1998},
volume = {39},
number = {1},
mrnumber = {1622998},
zbl = {1039.60039},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1998_39_1_a13/}
}