Semiparametric Estimation of Models for Natural Direct and Indirect Effects

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Fair Inference on Outcomes (2017, neutral): “1 (a) is correct) presented in (Tchetgen and Shpitser 2012b).”
Semiparametric Theory for Causal Mediation Analysis: efficiency bounds, multiple robustness, and sensitivity analysis (2012, background): “In future work, we shall extend our results for marginal effects by considering conditional natural direct and indirect effects, given a subset of pre-exposure variables [Tchetgen Tchetgen and Shpitser (2011)].”
Imputation Strategies for the Estimation of Natural Direct and Indirect Effects (2012, methodology): “A major advantage of the proposed approach and related approaches (van der Laan and Petersen, 2008, Tchetgen Tchetgen and Shpitser, 2011) relative to direct application of the mediation formula (see e.g. VanderWeele and Vansteelandt (2009), VanderWeele and Vansteelandt (2010), Imai et al. (2010a),…”
A simple unified approach for estimating natural direct and indirect effects. (2012, background): “In contrast, MSMs for nested counterfactuals such as Ya;Ma have received very little attention, with few exceptions (19, 20).”