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Decomposition of search for v-structures in DAGs

Author

Listed:
  • Geng, Zhi
  • Wang, Chi
  • Zhao, Qiang

Abstract

We show that the problem of searching for v-structures in a directed acyclic graph can be decomposed into searches in its decomposed subgraphs. This result simplifies the search for v-structures and the recovery of local causal relationships.

Suggested Citation

  • Geng, Zhi & Wang, Chi & Zhao, Qiang, 2005. "Decomposition of search for v-structures in DAGs," Journal of Multivariate Analysis, Elsevier, vol. 96(2), pages 282-294, October.
    • Handle: RePEc:eee:jmvana:v:96:y:2005:i:2:p:282-294
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    References listed on IDEAS

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    1. Zhi Geng & Chooichiro Asano & Minoru Ichimura & Hiroshi Kimura, 1994. "Decomposability and Collapsibility for Contingency Tables with Missing Data," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 43(3), pages 548-554, September.
    2. Steffen L. Lauritzen & Thomas S. Richardson, 2002. "Chain graph models and their causal interpretations," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(3), pages 321-348, August.
    3. Zhi Geng & Kang Wan & Feng Tao, 2000. "Mixed Graphical Models with Missing Data and the Partial Imputation EM Algorithm," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 27(3), pages 433-444, September.
    4. Geng, Zhi & Li, Kaican, 2003. "Factorization of posteriors and partial imputation algorithm for graphical models with missing data," Statistics & Probability Letters, Elsevier, vol. 64(4), pages 369-379, October.
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    Cited by:

    1. Xu, Ping-Feng & Guo, Jianhua & Tang, Man-Lai, 2011. "Structural learning for Bayesian networks by testing complete separators in prime blocks," Computational Statistics & Data Analysis, Elsevier, vol. 55(12), pages 3135-3147, December.

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