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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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1557-4679
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Dynamic Regime Marginal Structural Mean Models for Estimation of Optimal Dynamic Treatment Regimes, Part II: Proofs of Results

Liliana Orellana
  • Instituto de Cálculo, Universidad de Buenos Aires
/ Andrea Rotnitzky
  • Universidad Torcuato Di Tella and Harvard School of Public Health
/ James M. Robins
  • Harvard School of Public Health
Published Online: 2010-03-03 | DOI: https://doi.org/10.2202/1557-4679.1242

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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Published Online: 2010-03-03



Citation Information: The International Journal of Biostatistics, ISSN (Online) 1557-4679, DOI: https://doi.org/10.2202/1557-4679.1242. Export Citation

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