Parameterizations and fitting of bi-directed graph models to categorical data

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dc.creatorLupparelli, Monia
dc.creatorMarchetti, Giovanni M.
dc.creatorBergsma, Wicher P.
dc.date2008-01-09
dc.date.accessioned2026-07-07T08:53:31Z
dc.date.available2026-07-07T08:53:31Z
dc.descriptionWe discuss two parameterizations of models for marginal independencies for discrete distributions which are representable by bi-directed graph models, under the global Markov property. Such models are useful data analytic tools especially if used in combination with other graphical models. The first parameterization, in the saturated case, is also known as the multivariate logistic transformation, the second is a variant that allows, in some (but not all) cases, variation independent parameters. An algorithm for maximum likelihood fitting is proposed, based on an extension of the Aitchison and Silvey method.
dc.identifierhttps://arxiv.org/abs/0801.1440
dc.identifierhttp://arxiv.org/abs/0801.1440
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145651
dc.subjectMachine Learning
dc.subjectStatistics Theory
dc.titleParameterizations and fitting of bi-directed graph models to categorical data
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