Marginal parameterizations of discrete models defined by a set of conditional independencies

A. Forcina, Monia Lupparelli and G.M. Marchetti

Journal of Multivariate Analysis, 2010, vol. 101, issue 10, 2519-2527

Abstract: It is well-known that a conditional independence statement for discrete variables is equivalent to constraining to zero a suitable set of log-linear interactions. In this paper we show that this is also equivalent to zero constraints on suitable sets of marginal log-linear interactions, that can be formulated within a class of smooth marginal log-linear models. This result allows much more flexibility than known until now in combining several conditional independencies into a smooth marginal model. This result is the basis for a procedure that can search for such a marginal parameterization, so that, if one exists, the model is smooth.

Keywords: Compatibility; Graphical; models; Marginal; log-linear; models; Mixed; parameterizations; Smoothness (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (5)

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