Dynamic Regime Marginal Structural Mean Models for Estimation of Optimal Dynamic Treatment Regimes, Part II: Proofs of Results : The International Journal of Biostatistics

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The International Journal of Biostatistics

Ed. by Chambaz, Antoine / Hubbard, Alan E. / van der Laan, Mark J.


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Dynamic Regime Marginal Structural Mean Models for Estimation of Optimal Dynamic Treatment Regimes, Part II: Proofs of Results

Liliana Orellana1 / Andrea Rotnitzky2 / James M. Robins3

1Instituto de Cálculo, Universidad de Buenos Aires

2Universidad Torcuato Di Tella and Harvard School of Public Health

3Harvard School of Public Health

Citation Information: The International Journal of Biostatistics. Volume 6, Issue 2, ISSN (Online) 1557-4679, DOI: 10.2202/1557-4679.1242, March 2010

Publication History

Published Online:
2010-03-03

In this companion article to "Dynamic Regime Marginal Structural Mean Models for Estimation of Optimal Dynamic Treatment Regimes, Part I: Main Content" [Orellana, Rotnitzky and Robins (2010), IJB, Vol. 6, Iss. 2, Art. 7] we present (i) proofs of the claims in that paper, (ii) a proposal for the computation of a confidence set for the optimal index when this lies in a finite set, and (iii) an example to aid the interpretation of the positivity assumption.

Keywords: dynamic treatment regime; double-robust; inverse probability weighted; marginal structural model; optimal treatment regime; causality

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