Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-23T13:58:00.591Z Has data issue: false hasContentIssue false
  • English
  • Français

Conditional Independences among Four Random Variables III: Final Conclusion

Published online by Cambridge University Press:  01 May 1999

F. MATÚš
F. MATÚš
Affiliation:
Statistik und Informatik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld, Germany (e-mail: [email protected])
Get access Rights & Permissions [Opens in a new window]

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.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 8 , Issue 3 , May 1999 , pp. 269 - 276
Copyright
1999 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)