A proposed longitudinal cross-world weighting estimand is not identified by the proof given, because the derivation silently assumes the two regimes' counterfactual covariate processes coincide.
Population intervention causal effects based on stochastic interventions
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Propensity score weighting across counterfactual worlds: longitudinal effects under positivity violations
A proposed longitudinal cross-world weighting estimand is not identified by the proof given, because the derivation silently assumes the two regimes' counterfactual covariate processes coincide.