A uniformly consistent estimator of causal effects under the k-Triangle-Faithfulness assumption

Statistical Science

Volumn 29, Issue 4, 2014, Pages 662-678

  Spirtes, Peter ^a   Zhang, Jiji ^b  

^a CARNEGIE MELLON UNIVERSITY   (United States)

^b LINGNAN UNIVERSITY   (Hong Kong)

Author keywords

Bayesian networks; Causal inference; Estimation; Model search; Model selection; Structural equation models; Uniform consistency

Indexed keywords

EID: 84921458343     PISSN: 08834237     EISSN: None     Source Type: Journal    
DOI: 10.1214/13-STS429     Document Type: Article

References (17)

1. COLOMBO, D.,MAATHUIS, M. H.,KALISCH, M. andRICHARDSON, T. S. (2012). Learning high-dimensional directed acyclic graphs with latent and selection variables. Ann. Statist. 40 294- 321. MR3014308
2. KALISCH, M. and BüHLMANN, P. (2007). Estimating highdimensional directed acyclic graphs with the PC-algorithm. J. Mach. Learn. Res. 8 613-636.
3. LIN, S.,UHLER, C., STURMFELS, B. andBüHLMANN, P. (2012). Hypersurfaces and their singularities in partial correlation testing. Available at arXiv:1209.0285.
4. MAATHUIS, M. H., COLOMBO, D., KALISCH, M. and BüHLMANN, P. (2010). Predicting causal effects in large-scale systems from observational data. Nat. Methods 7 247-248.
5. MEEK, C. (1995). Causal inference and causal explanation with background knowledge. In Proceedings of the Eleventh Conference on Uncertainty in Artificial Intelligence 403-411. Morgan Kaufmann, San Francisco, CA.
6. PEARL, J. (1988). Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference. Morgan Kaufmann, San Mateo, CA. MR0965765
7. PEARL, J. (2000). Causality: Models, Reasoning, and Inference. Cambridge Univ. Press, Cambridge. MR1744773
8. RAMSEY, J., ZHANG, J. and SPIRTES, P. (2006). Adjacencyfaithfulness and conservative causal inference. In Proceedings of the 22nd Conference on Uncertainty in Artificial Intelligence 401-408. AUAI Press, Arlington, VA.
9. ROBINS, J. M., SCHEINES, R., SPIRTES, P. andWASSERMAN, L. (2003). Uniform consistency in causal inference. Biometrika 90 491-515. MR2006831
10. SPIRTES, P.,GLYMOUR, C. and SCHEINES, R. (1993). Causation, Prediction, and Search. Lecture Notes in Statistics 81. Springer, New York. MR1227558
11. SPIRTES, P.,GLYMOUR, C. and SCHEINES, R. (2000). Causation, Prediction, and Search, 2nd ed. MIT Press, Cambridge, MA. MR1815675
12. UHLER, C., RASKUTTI, G., BüHLMANN, P. and YU, B. (2013). Geometry of faithfulness assumption in causal inference. Ann. Statist. 41 436-463.
13. VERMA, T. and PEARL, P. (1990). Equivalence and synthesis of causal models. In Proceedings of the 6th Conference on Uncertainty in Artificial Intelligence 220-227. AUAI Press, Corvallis, OR.
14. WHITTAKER, J. (1990). Graphical Models in Applied Multivariate Statistics. Wiley, Chichester. MR1112133
15. WOODWARD, J. (2003). Making Things Happen: A Theory of Causal Explanation. Oxford Univ. Press, London.
16. ZHANG, J. and SPIRTES, P. (2008). Detection of unfaithfulness and robust causal inference. Minds and Machines 18 239-271.
17. ZHANG, J. and SPIRTES, P. (2011). Intervention, determinism, and the causal minimality condition. Synthese 182 335-347. MR2833024