F. Matus and M. Studeny:
Conditional independences among four random variables I. Combinatorics,
Probability and Computing 4 (1995), n. 3, pp. 267-278.
- The conditional independence structures within a system
of four discrete random variables are studied. The problem which structures
can occur is transformed into an analysis of a certain cone of set
functions, namely polymatroids. Then, the cone is decomposed into two
parts with help of Ingleton's inequalities. The first part is completely
solved by giving the list of generating examples and the second part is
The problem above was later completely solved in the subsequent series of papers by Frantisek Matus.
- AMS classification 62H05, 52B40
- conditional independence
- functional dependence
- Ingleton's inequality
- Shannon entropy
- Here is the whole series of papers by Frantisek Matus: