Conditional products: An alternative approach to conditional independence

@inproceedings{Dawid1999ConditionalPA,
  title={Conditional products: An alternative approach to conditional independence},
  author={A. Philip Dawid and Milan Studen{\'y}},
  booktitle={AISTATS},
  year={1999}
}
We introduce a new abstract approach to the study of conditional independence, founded on a concept analogous to the factoriza-tion properties of probabilistic independence, rather than the separation properties of a graph. The basic ingredient is the \con-ditional product", which provides a way of combining the objects under consideration while preserving as much independence as possible. We introduce an appropriate axiom system for conditional product, and show how, when these axioms are… CONTINUE READING

References

Publications referenced by this paper.
SHOWING 1-10 OF 17 REFERENCES

Conditional independence in valuation-based systems

  • Int. J. Approx. Reasoning
  • 1994
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

Conditional independence. To appear in Encyclopedia of Statistical Sciences

A P Dawid
  • Conditional independence. To appear in Encyclopedia of Statistical Sciences
  • 1998
VIEW 1 EXCERPT

Description of structures of stochastic conditional independence by means of faces and imsets (a series of 3 papers)

  • Internat. J. General Systems
  • 1994