Conditional Independences among Four Random Variables III: Final Conclusion

1999/05/01 by František Matúš, F. MATÚš · 2 citations
Computer Science · Decision Sciences · #Bayesian Modeling and Causal Inference #Multi-Criteria Decision Making #Rough Sets and Fuzzy Logic

paper · doi:10.1017/s0963548399003740

openalex publication_date 1999/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

The problem of probabilistic representability of semimatroids over a four-element set is solved. In this problem, one looks for all combinations of conditional independences within four random variables which can occur simultaneously. New properties of the stochastic conditional independences are deduced from conditional information inequalities. Examples of four-tuples of random variables are presented to show the probabilistic representability of three non-Ingleton semimatroids.

Cited by

• Violating the Ingleton Inequality with Finite Groups
• Incidence geometry in the projective plane via almost-principal minors of symmetric matrices

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