Parameterizations and Fitting of Bi-directed Graph Models to Categorical Data

@article{Lupparelli2008ParameterizationsAF,
  title={Parameterizations and Fitting of Bi-directed Graph Models to Categorical Data},
  author={M. Lupparelli and G. M. Marchetti and Wicher Bergsma},
  journal={Scandinavian Journal of Statistics},
  year={2008},
  volume={36},
  pages={559-576}
}
We 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 thenation multivariate logistic transformation, the second is a variant that allows, in some (but not all) cases, variation-independent… Expand

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