Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1146153 | Journal of Multivariate Analysis | 2010 | 9 Pages |
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
Related Topics
Physical Sciences and Engineering
Mathematics
Numerical Analysis
Authors
A. Forcina, M. Lupparelli, G.M. Marchetti,