Author | Laan, Mark J. van der. author |
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Title | Unified Methods for Censored Longitudinal Data and Causality [electronic resource] / by Mark J. van der Laan, James M. Robins |
Imprint | New York, NY : Springer New York : Imprint: Springer, 2003 |
Connect to | http://dx.doi.org/10.1007/978-0-387-21700-0 |
Descript | XII, 399 p. 2 illus. online resource |
1 Introduction -- 1.1 Motivation, Bibliographic History, and an Overview of the book -- 1.2 Tour through the General Estimation Problem -- 1.3 Example: Causal Effect of Air Pollution on Short-Term Asthma Response -- 1.4 Estimating Functions -- 1.5 Robustness of Estimating Functions -- 1.6 Doubly robust estimation in censored data models -- 1.7 Using Cross-Validation to Select Nuisance Parameter Models -- 2 General Methodology -- 2.1 The General Model and Overview -- 2.2 Full Data Estimating Functions -- 2.3 Mapping into Observed Data Estimating Functions -- 2.4 Optimal Mapping into Observed Data Estimating Functions -- 2.5 Guaranteed Improvement Relative to an Initial Estimating Function -- 2.6 Construction of Confidence Intervals -- 2.7 Asymptotics of the One-Step Estimator -- 2.8 The Optimal Index -- 2.9 Estimation of the Optimal Index -- 2.10 Locally Efficient Estimation with Score-Operator Representation -- 3 Monotone Censored Data -- 3.1 Data Structure and Model -- 3.2 Examples -- 3.3 Inverse Probability Censoring Weighted (IPCW) Estimators -- 3.4 Optimal Mapping into Estimating Functions -- 3.5 Estimation of Q -- 3.6 Estimation of the Optimal Index -- 3.7 Multivariate failure time regression model -- 3.8 Simulation and data analysis for the nonparametric full data model -- 3.9 Rigorous Analysis of a Bivariate Survival Estimate -- 3.10 Prediction of Survival -- 4 Cross-Sectional Data and Right-Censored Data Combined -- 4.1 Model and General Data Structure -- 4.2 Cause Specific Monitoring Schemes -- 4.3 The Optimal Mapping into Observed Data Estimating Functions -- 4.4 Estimation of the Optimal Index in the MGLM -- 4.5 Example: Current Status Data with Time-Dependent Covariates -- 4.6 Example: Current Status Data on a Process Until Death -- 5 Multivariate Right-Censored Multivariate Data -- 5.1 General Data Structure -- 5.2 Mapping into Observed Data Estimating Functions. -- 5.3 Bivariate Right-Censored Failure Time Data -- 6 Unified Approach for Causal Inference and Censored Data -- 6.1 General Model and Method of Estimation -- 6.2 Causal Inference with Marginal Structural Models -- 6.3 Double Robustness in Point Treatment MSM -- 6.4 Marginal Structural Model with Right-Censoring. -- 6.5 Structural Nested Model with Right-Censoring -- 6.6 Right-Censoring with Missingness. -- 6.7 Interval Censored Data -- References -- Author index -- Example index