Name
Abstract | ||
|---|---|---|
The set of all m-tuples of compatible full conditional distributions on discrete random variables is an algebraic set whose defining ideal is a unimodular toric ideal. We identify the defining polynomials of these ideals with closed walks on a bipartite graph. Our algebraic characterization provides a natural generalization of the requirement that compatible conditionals have identical odds ratios and holds regardless of the patterns of zeros in the conditional arrays. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1016/j.jsc.2005.04.006 | J. Symb. Comput. |
Keywords | DocType | Volume |
unimodular,closed walk,compatible full conditional distribution,defining polynomial,compatible conditional,odds ratios,conditional array,unimodular toric ideal,Toric ideal,unimodular toric variety,defining ideal,bipartite graph,Unimodular,toric ideal,Odds ratios,algebraic set,algebraic characterization | Journal | 41 |
Issue | ISSN | Citations |
2 | Journal of Symbolic Computation | 7 |
PageRank | References | Authors |
0.82 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Aleksandra B. Slavkovic | 1 | 203 | 18.76 |
| Seth Sullivant | 2 | 93 | 19.17 |