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Sponsored Artificial Intelligence: A Modern Approach, Global Edition Artificial Intelligence: A Modern Approach, Global Edition

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K. Rudolph

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Preprint Aug 2026

Causal Effects of Modified Treatment Policies under Positivity Violations: A Partial Identification Approach

Modified treatment policies (MTPs) are interventions based on each individual's natural treatment value. We study mean outcomes under MTPs for continuous treatments, including exposure mixtures. Positivity is the standard sufficient condition for identifying these mean outcomes without extrapolation: policy-generated v...

Taehyeon Koo, Elizabeth A. Stuart, K. Rudolph et al. · 0 citations

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