Independence properties of directed markov fields

@article{Lauritzen1990IndependencePO,
  title={Independence properties of directed markov fields},
  author={Steffen L. Lauritzen and A. Philip Dawid and B. N. Larsen and Hanns-Georg Leimer},
  journal={Networks},
  year={1990},
  volume={20},
  pages={491-505}
}
We investigate directed Markov fields over finite graphs without positivity assumptions on the densities involved. A criterion for conditional independence of two groups of variables given a third is given and named as the directed, global Markov property. We give a simple proof of the fact that the directed, local Markov property and directed, global Markov property are equivalent and – in the case of absolute continuity w. r. t. a product measure – equivalent to the recursive factorization of… CONTINUE READING
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