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Backtracking Direct, Indirect and Total Effects
Jose M. Peña

Backtracking Direct, Indirect and Total Effects

Author / Organization:
Science & Mathematics Published 2026 Verification Pending

Overview & Synopsis

Natural direct and indirect effects are defined through cross-world interventional counterfactuals. We propose an alternative construction based on backtracking counterfactuals. Rather than intervening on the treatment or mediator, we use a backtracking conditional distribution to construct an alternative exogenous state satisfying a desired treatment-mediator constraint. This yields the backtracking direct and indirect effects, and also the backtracking total effect. Likewise, we adapt the population intervention effects.

Indexed from repository: arXiv (arxiv.org)
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Document Information

Document Title Backtracking Direct, Indirect and Total Effects
Author / Organization Jose M. Peña
Subject & Discipline stat.ME
Categories Science & Mathematics
Publication Year 2026
License / Rights arXiv Open Access / Creative Commons
Resource Verification Listed PDF (Verification Pending)
Original Host Website arXiv (arxiv.org)
File Format application/pdf (Portable Document Format)
Language EN
Catalog ID DOC-269015
Original Source Link Visit Source Page on arxiv.org »