Dynamic regime marginal structural mean models for estimation of optimal dynamic treatment regimes, Part II: proofs of results

Int J Biostat. 2010 Mar 3;6(2):Article 9. doi: 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: causality; double-robust; dynamic treatment regime; inverse probability weighted; marginal structural model; optimal treatment regime.

Publication types

  • Research Support, N.I.H., Extramural

MeSH terms

  • Algorithms
  • Clinical Trials as Topic / statistics & numerical data*
  • Longitudinal Studies
  • Models, Statistical*
  • Probability
  • Research Design / statistics & numerical data*