Linear Dependencies Represented by Chain Graphs

D. R. Cox; Nanny Wermuth

doi:10.1214/ss/1177010887

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Home > Journals > Statist. Sci. > Volume 8 > Issue 3 > Article

August, 1993 Linear Dependencies Represented by Chain Graphs

D. R. Cox, Nanny Wermuth

Statist. Sci. 8(3): 204-218 (August, 1993). DOI: 10.1214/ss/1177010887

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Abstract

Various special linear structures connected with covariance matrices are reviewed and graphical methods for their representation introduced, involving in particular two different kinds of edge between the nodes representing the component variables. The distinction between decomposable and nondecomposable structures is emphasized. Empirical examples are described for the main possibilities with four component variables.

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D. R. Cox. Nanny Wermuth. "Linear Dependencies Represented by Chain Graphs." Statist. Sci. 8 (3) 204 - 218, August, 1993. https://doi.org/10.1214/ss/1177010887

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Published: August, 1993

First available in Project Euclid: 19 April 2007

zbMATH: 0955.62593

MathSciNet: MR1243593

Digital Object Identifier: 10.1214/ss/1177010887

Keywords: Chain model , Conditional independence , covariance selection , decomposable model , linear structural equation , Multivariate analysis , path analysis

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