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EnglishIt 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.
Marginal parameterizations of discrete models defined by a set of conditional independencies. J. of Multivariate Analysis, doi:10.1016/j.jmva.2010.07.001 / A.Forcina; M.Lupparelli; G.M.Marchetti. - In: JOURNAL OF MULTIVARIATE ANALYSIS. - ISSN 0047-259X. - STAMPA. - 101(2010), pp. 2519-2527. [10.1016/j.jmva.2010.07.001]
| Titolo: | Marginal parameterizations of discrete models defined by a set of conditional independencies. J. of Multivariate Analysis, doi:10.1016/j.jmva.2010.07.001. | |
| Autori di Ateneo: | ||
| Autori: | A. Forcina; M. Lupparelli; MARCHETTI, GIOVANNI MARIA | |
| Data di pubblicazione: | 2010 | |
| Rivista: | ||
| Volume: | 101 | |
| Pagina iniziale: | 2519 | |
| Pagina finale: | 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. | |
| Handle: | http://hdl.handle.net/2158/394944 | |
| Appare nelle tipologie: | 1a - Articolo su rivista |
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