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Unpublished Paper
A Note on Targeted Maximum Likelihood and Right Censored Data
U.C. Berkeley Division of Biostatistics Working Paper Series
  • Mark J. van der Laan, Division of Biostatistics, School of Public Health, University of California, Berkeley
  • Daniel Rubin, University of California, Berkeley
Date of this Version
10-18-2007
Abstract

A popular way to estimate an unknown parameter is with substitution, or evaluating the parameter at a likelihood based fit of the data generating density. In many cases, such estimators have substantial bias and can fail to converge at the parametric rate. van der Laan and Rubin (2006) introduced targeted maximum likelihood learning, removing these shackles from substitution estimators, which were made in full agreement with the locally efficient estimating equation procedures as presented in Robins and Rotnitzsky (1992) and van der Laan and Robins (2003). This note illustrates how targeted maximum likelihood can be applied in right censored data structures. In particular, we show that when an initial substitution estimator is based on a Cox proportional hazards model, the targeted likelihood algorithm can be implemented by iteratively adding an appropriate time-dependent covariate.

Citation Information
Mark J. van der Laan and Daniel Rubin. "A Note on Targeted Maximum Likelihood and Right Censored Data" (2007)
Available at: http://works.bepress.com/mark_van_der_laan/290/