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Discrete Dynamics in Nature and Society
Volume 2015 (2015), Article ID 982495, 5 pages
http://dx.doi.org/10.1155/2015/982495
Research Article

Local Structure Recovery of Chain Graphs after Marginalization

1School of Mathematical Sciences, Shandong Normal University, Jinan 250014, China
2School of Mathematical Sciences, Peking University, Bejing 100871, China

Received 15 October 2014; Accepted 6 March 2015

Academic Editor: Bo Yang

Copyright © 2015 Qiang Zhao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper discusses local structure recovery of chain graphs (CGs) when there exist unobserved or latent variables or after marginalization over observed variables. Under a condition presented in this paper, it is explained which edges and directions of edges in local structure can be recovered validly and which cannot after marginalization.