Haoyu Wei, Hengrui Cai, Chengchun Shi, Rui Song
arXiv 10 Jan 2024 · Statistics — Methodology
arXiv:2401.05517 · PDF · DOI · OpenAlex · Extracted main text
This paper provides robust estimators and efficient inference of causal effects involving multiple interacting mediators. Most existing works either impose a linear model assumption among the mediators or are restricted to handle conditionally independent mediators given the exposure. To overcome these limitations, we define causal and individual mediation effects in a general setting, and employ a semiparametric framework to develop quadruply robust estimators for these causal effects. We further establish the asymptotic normality of the proposed estimators and prove their local semiparametric efficiencies. The proposed method is empirically validated via simulated and real datasets concerning psychiatric disorders in trauma survivors.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Chakrabortty, A., P. Nandy, and H. Li (2018) Inference for individual mediation effects and interventional effects in sparse high-dimensional causal graphical models | 0.928 | 15 | 7 | 80% |
| 2 | Tchetgen, E. J. T. and I. Shpitser (2012) Semiparametric theory for causal mediation analysis: efficiency bounds, multiple robustness, and sensitivity analysis | 0.894 | 7 | 4 | 71% |
| 3 | Harris, N. and M. Drton (2013) Pc algorithm for nonparanormal graphical models | 0.843 | 4 | 4 | 75% |
| 4 | Pearl, J (2000) Causality: models, reasoning and inference, Volume 29 | 0.843 | 4 | 4 | 75% |
| 5 | Spirtes, P., C. Glymour, R. Scheines, S. Kauffman, V. Aimale, and F.… (2000) Constructing bayesian network models of gene expression networks from microarray data | 0.843 | 3 | 3 | 100% |
| 6 | Cai, H., R. Song, and W. Lu (2020) Anoce: Analysis of causal effects with multiple mediators via constrained structural learning self | 0.822 | 9 | 4 | 56% |
| 7 | Pearl, J. et al (2009) Causal inference in statistics: An overview | 0.811 | 4 | 2 | 100% |
| 8 | Bickel, P. J. and J. Kwon (2001) Inference for semiparametric models: some questions and an answer | 0.737 | 3 | 2 | 100% |
| 9 | Nandy, P., A. Hauser, and M. H. Maathuis (2018) High-dimensional consistency in score-based and hybrid structure learning | 0.737 | 3 | 2 | 100% |
| 10 | Xia, F. and K. C. G. Chan (2023) Identification, semiparametric efficiency, and quadruply robust estimation in mediation analysis with treatment-induced confound… | 0.737 | 3 | 2 | 100% |
Showing the top 10 of 94 scored citations.