| Title | Collapsibility for Directed Acyclic Graphs |
| Authors | Xie, Xianchao Geng, Zhi |
| Affiliation | Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China. |
| Keywords | directed acyclic graph graphical model model collapsibility CONTINGENCY-TABLES MODELS MARGINALIZATION |
| Issue Date | 2009 |
| Publisher | scandinavian journal of statistics |
| Citation | SCANDINAVIAN JOURNAL OF STATISTICS.2009,36,(2),185-203. |
| Abstract | Collapsibility means that the same statistical result of interest can be obtained before and after marginalization over some variables. In this paper, we discuss three kinds of collapsibility for directed acyclic graphs (DAGs): estimate collapsibility, conditional independence collapsibility and model collapsibility. Related to collapsibility, we discuss removability of variables from a DAG. We present conditions for these three different kinds of collapsibility and relationships among them. We give algorithms to find a minimum variable set containing a variable subset of interest onto which a statistical result is collapsible. |
| URI | http://hdl.handle.net/20.500.11897/157712 |
| ISSN | 0303-6898 |
| DOI | 10.1111/j.1467-9469.2008.00627.x |
| Indexed | SCI(E) |
| Appears in Collections: | 数学科学学院 数学及其应用教育部重点实验室 |
