Exchangeable Rasch matrices

This article is concerned with binary random matrices that are exchangeable with the probability of any finite submatrix only depending on its row- and column sums. We describe basic representations of such matrices both in the case of full row- and column exchangeability and the case of weak exchan...

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Autor principal: Steffen L. Lauritzen
Formato: article
Lenguaje:EN
FR
IT
Publicado: Sapienza Università Editrice 2008
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Acceso en línea:https://doaj.org/article/1eace857447345d59d31151c73306eef
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Sumario:This article is concerned with binary random matrices that are exchangeable with the probability of any finite submatrix only depending on its row- and column sums. We describe basic representations of such matrices both in the case of full row- and column exchangeability and the case of weak exchangeability. Finally the results are interpreted in terms of random graphs with exchangeable labels and with a view towards their potential application to social network analysis.