Chain graph models of multivariate regression type for categorical data

Details Chain graph models of multivariate regression type for categorical data Chain graph models of multivariate regression type for categorical data

2009-06-11

arxiv.org/abs/0906.2098v3

Bernoulli 2011, Vol. 17, No. 3, 827-844

Statistics

Methodology

Published in at http://dx.doi.org/10.3150/10-BEJ300 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statisti

Scientific paper

10.3150/10-BEJ300

We discuss a class of chain graph models for categorical variables defined by what we call a multivariate regression chain graph Markov property. First, the set of local independencies of these models is shown to be Markov equivalent to those of a chain graph model recently defined in the literature. Next we provide a parametrization based on a sequence of generalized linear models with a multivariate logistic link function that captures all independence constraints in any chain graph model of this kind.

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