Toward a Semiparametric Efficiency Theory under Equality Constraints in Nested Markov Models

arXiv:2608.24602 · stat.ME, math.ST, stat.ML, stat.TH · Submitted 2026-08-25 · Read on arXiv

stat.ME, math.ST, stat.ML, stat.TH

Submitted: 2026-08-25

Updated: 2026-08-25

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Influence Functions — 35× in this paper · explained in 2 episodes
• Residualization — 6× in this paper · explained in 2 episodes
• Causal Inference — 3× in this paper · explained in 4 episodes
• Score Function — 2× in this paper · explained in 4 episodes
• Acyclic Directed Mixed Graphs (ADMGs) — 1× in this paper · explained in 1 episode
• Adjustment Sets — 1× in this paper · explained in 1 episode
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Longitudinal Data — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• You've Got to be Efficient: Ambiguity, Misspecification and Variational Preferences
• On Local Overidentification and Efficiency Gains in Modern Causal Inference and Data Combination
• The Debiased Score Test: Hunt-and-test for Semiparametric Hypotheses
• Marginal Causal Effect Estimation with Continuous Instrumental Variables
• Flexible Nonparametric Inference for Causal Effects under the Front-Door Model
• Causal Inference with the Napkin Graph
• Average Causal Effect Estimation in DAGs with Hidden Variables: Beyond Back-Door and Front-Door Criteria
• On statistical and causal models associated with acyclic directed mixed graphs

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