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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Sapienza Università Editrice
2008
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oai:doaj.org-article:1eace857447345d59d31151c73306eef2021-11-29T14:25:41ZExchangeable Rasch matrices1120-71832532-3350https://doaj.org/article/1eace857447345d59d31151c73306eef2008-01-01T00:00:00Zhttps://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2008(1)/83-95.pdfhttps://doaj.org/toc/1120-7183https://doaj.org/toc/2532-3350This 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.Steffen L. LauritzenSapienza Università Editricearticlepartial exchangeabilityrandom graphssocial network analysissufficiencyMathematicsQA1-939ENFRITRendiconti di Matematica e delle Sue Applicazioni, Vol 28, Iss 1, Pp 83-95 (2008) |
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DOAJ |
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DOAJ |
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EN FR IT |
| topic |
partial exchangeability random graphs social network analysis sufficiency Mathematics QA1-939 |
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partial exchangeability random graphs social network analysis sufficiency Mathematics QA1-939 Steffen L. Lauritzen Exchangeable Rasch matrices |
| description |
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. |
| format |
article |
| author |
Steffen L. Lauritzen |
| author_facet |
Steffen L. Lauritzen |
| author_sort |
Steffen L. Lauritzen |
| title |
Exchangeable Rasch matrices |
| title_short |
Exchangeable Rasch matrices |
| title_full |
Exchangeable Rasch matrices |
| title_fullStr |
Exchangeable Rasch matrices |
| title_full_unstemmed |
Exchangeable Rasch matrices |
| title_sort |
exchangeable rasch matrices |
| publisher |
Sapienza Università Editrice |
| publishDate |
2008 |
| url |
https://doaj.org/article/1eace857447345d59d31151c73306eef |
| work_keys_str_mv |
AT steffenllauritzen exchangeableraschmatrices |
| _version_ |
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