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stat.ME2024
Testability of Instrumental Variables in Additive Nonlinear, Non-Constant Effects Models
Xichen Guo, Zheng Li, Biwei Huang +3
We address the issue of the testability of instrumental variables derived from observational data. Most existing testable implications are centered on scenarios where the treatment…
stat.ME2024
Identification and Estimation of the Bi-Directional MR with Some Invalid Instruments
Feng Xie, Zhen Yao, Lin Xie +2
We consider the challenging problem of estimating causal effects from purely observational data in the bi-directional Mendelian randomization (MR), where some invalid instruments,…
stat.ME2024
Assessing the causes of continuous effects by posterior effects of causes
Shanshan Luo, Yixuan Yu, Chunchen Liu +2
To evaluate a single cause of a binary effect, Dawid et al. (2014) defined the probability of causation, while Pearl (2015) defined the probabilities of necessity and sufficiency.…