Smoothness of conditional independence models for discrete data

Agarwal, 2001 Barndorff-Nielsen, 1979 Bartolucci, 2007, An extended class of marginal link functions for modelling contingency tables by equality and inequality constraints, Statist. Sinica, 17, 691 Bergsma, 2002, Marginal log-linear models for categorical data, Ann. Statist., 30, 140, 10.1214/aos/1015362188 Bulirsch, 2002 Drton, 2009, Likelihood ratio tests and singularities, Ann. Statist., 37, 979, 10.1214/07-AOS571 Forcina, 2010, Marginal parameterizations of discrete models defined by a set of conditional independencies, J. Multivariate Anal., 101, 2519, 10.1016/j.jmva.2010.07.001 Horn, 2009 P. Šimeček, Classes of Gaussians, discrete and binary representable independence models that have no finite characterization, in: Proceedings of Prague Stochastics, 2006, pp. 622–632. M. Studeny, On mathematical description of probabilistic conditional independence structures, Doctoral Thesis, Academy of Sciences, Prague, 2001.