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Wiley InterScience

Journal of the Royal Statistical Society: Series B (Statistical Methodology)

Journal of the Royal Statistical Society: Series B (Statistical Methodology)

Volume 65 Issue 2, Pages 331 - 355

Published Online: 25 Apr 2003

© 2010 The Royal Statistical Society and Blackwell Publishing Ltd



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Optimal dynamic treatment regimes
S. A. Murphy
 University of Michigan, Ann Arbor, USA
Address for correspondence: S. A. Murphy, Department of Statistics, 439 West Hall, University of Michigan, Ann Arbor, MI 48109-1092, USA.
E-mail: samurphy@umich.edu
Copyright 2003 Royal Statistical Society
KEYWORDS
Adaptive strategies • Causal inference • Dynamic programming • Multistage decisions

ABSTRACT

Summary.A dynamic treatment regime is a list of decision rules, one per time interval, for how the level of treatment will be tailored through time to an individual's changing status. The goal of this paper is to use experimental or observational data to estimate decision regimes that result in a maximal mean response. To explicate our objective and to state the assumptions, we use the potential outcomes model. The method proposed makes smooth parametric assumptions only on quantities that are directly relevant to the goal of estimating the optimal rules. We illustrate the methodology proposed via a small simulation.


[Read before The Royal Statistical Society at a meeting organized by the Research Section on Wednesday, October 16th, 2002, Professor D. Firth in the Chair]

DIGITAL OBJECT IDENTIFIER (DOI)
10.1111/1467-9868.00389 About DOI

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