Reinforcement of Statistical Aspect of Causal Inference based on Counterfacturals and its Application.

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In this research, I considered evaluating causal effects in the non-identification problems of causal effects : the probabilities of causation, case-control studies, measurement error problems. To solve the problems, I formulated the sharp bounds on the causal effects using the potential outcome approach and linear programming methods. In addition, in the framework of linear structural equation models, I formulated the change of the variance of the response when conducting an imperfect control plan.