Chain graph models of multivariate regression type for categorical data
By Giovanni M. Marchetti, Monia Lupparelli. 2009
51 citations recorded by the source corpus.
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.
Subfields: Artificial Intelligence, Management Science and Operations Research, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/460cda4271858e9e4e4b26f0f2300e17565a7a61
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In Artificial Intelligence
In Management Science and Operations Research
In Statistics and Probability
Citations in the corpus
- Multivariate Statistical Analysis (2011, methodology): “include among others linear, logistic and probit regressions as special cases; see McCullagh and Nelder (1989), Glonek and McCullagh (1995).”