Estimators of a parameter arising in the decomposition of the population intervention causal effect of stochastic interventions under mediation analysis, including one-step augmented inverse probability weighted (AIPW), re-weighting (IPW), and substitution estimators. This parameter constitutes one of two parts of the population intervention (in)direct effect in the mediation setting with stochastic interventions, thus these estimators may be used in constructing assessing the (in)direct effect under stochastic treatment regimes, including incremental propensity score interventions and standard location shifts of the intervention (Díaz and Hejazi, 2019, <>).




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