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

Liliana Orellana; Andrea Rotnitzky; James M Robins

doi:10.2202/1557-4679.1242

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.

Authors

Liliana Orellana¹, Andrea Rotnitzky, James M Robins

Affiliation

¹ Instituto de Cálculo, Universidad de Buenos Aires, Argentine.

Abstract

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*

Abstract

Publication types

MeSH terms

Grants and funding