A Generally Efficient HAL-TMLE

  • Mark J. van der Laan
Part of the Springer Series in Statistics book series (SSS)


We will present a TMLE of ψ0 that is asymptotically efficient at any \(P \in \mathcal{M}\). This is a remarkable statement since we only assume strong positivity, some global bounds, and a finite variation norm of \(\bar{Q}_{0},\bar{G}_{0}\). This estimation problem for the treatment specific mean will be our key example to demonstrate a general one-step TMLE that is guaranteed to be asymptotically efficient for any model and pathwise differentiable target parameter, essentially only assuming a positivity assumption, also guaranteeing strong identifiability of the target parameter.


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  2. M.J. van der Laan, A generally efficient targeted minimum loss based estimator. Int. J. Biostat. 13(2), 1106–1118 (2017)Google Scholar

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Division of Biostatistics and Department of StatisticsUniversity of California, BerkeleyBerkeleyUSA

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