Identification of Joint Interventional Distributions in Recursive Semi-Markovian Causal Models

This paper is concerned with estimating the effects of actions from causal assumptions, represented concisely as a directed graph, and statistical knowledge, given as a probability distribution. We provide a necessary and sufficient graphical condition for the cases when the causal effect of an arbitrary set of variables on another arbitrary set can be determined uniquely from the available information, as well as an algorithm which computes the effect whenever this condition holds. Furthermore, we use our results to prove completeness of do-calculus [Pearl, 1995], and a version of an identification algorithm in [Tian, 2002] for the same identification problem.

• Type: Conference
• Year: 2006
• Where: AAAI
• Authors: Ilya Shpitser, Judea Pearl
• Keywords: AAAI 2006, Arbitrary Set, Causal Assumptions, Intelligent Agents, Sufficient Graphical Condition