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用于估计最优动态治疗方案的动态机制边际结构均值模型,第二部分:结果证明

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

作者信息

Orellana Liliana, Rotnitzky Andrea, Robins James M

机构信息

Instituto de Cálculo, Universidad de Buenos Aires, Argentine.

出版信息

Int J Biostat. 2010 Mar 3;6(2):Article 9. doi: 10.2202/1557-4679.1242.

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.

摘要

在这篇与《用于估计最优动态治疗方案的动态系统边际结构均值模型,第一部分:主要内容》[奥雷利亚纳、罗特尼茨基和罗宾斯(2010年),《国际生物统计学杂志》,第6卷,第2期,第7篇文章]配套的文章中,我们给出了(i)该论文中主张的证明,(ii)当最优指标位于有限集时计算其置信集的一个提议,以及(iii)一个有助于解释正性假设的示例。

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