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Asymptotic efficiency of targeted maximum likelihood estimators (TMLE) of target features of the data distribution relies on a a second order remainder being asymptotically negligible.
On the efficiency of a class of non-parametric estimates
B.Y. Levit · 1975
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Statistical estimation
I.A. Ibragimov and R.Z. Khasminskii · 1981
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On adaptive estimation
P.J. Bickel · 1982
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Contributions to a general asymptotic statistical theory
J. Pfanzagl · 1982
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Asymptotic expansions for general statistical models
J. Pfanzagl · 1985
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Estimating integrated squared density derivatives: Sharp best order of convergence estimates
P. J. Bickel and Y. Ritov · 1988
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Inefficient estimators of the bivariate survival function for three models
R.D. Gill, M.J. van der Laan, and J.A. Wellner · 1995
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Weak convergence and empirical processes
A.W. van der Vaart and J.A. Wellner · 1996
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Efficient and adaptive estimation for semiparametric models
P.J. Bickel, C.A.J. Klaassen, Y. Ritov, and J.A. Wellner · 1997
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Unified cross-validation methodology for selection among estimators and a general cross-validated adaptive epsilon-net estimator: finite sample oracle inequalities and examples
M.J. van der Laan and S. Dudoit · 2003
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Targeted maximum likelihood learning
M.J. van der Laan and Daniel B. Rubin · 2006
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The cross-validated adaptive epsilon-net estimator
M.J. van der Laan, S. Dudoit, and A.W. van der Vaart · 2006
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Oracle inequalities for multi-fold cross-validation
A.W. van der Vaart, S. Dudoit, and M.J. van der Laan · 2006
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A simple adaptive estimator of the integrated square density
E. Gine and R. Nickl · 2008
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Higher order influence functions and minimax estimation of nonlinear functionals
J.M. Robins, L. Li, E. Tchetgen Tchetgen, and A.W. van der Vaart · 2008
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Estimation based on case-control designs with known prevalance probability
M.J. van der Laan · 2008
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Quadratic semiparametric von mises calculus
J.M. Robins, L. Li, E. Tchetgen Tchetgen, and A.W. van der Vaart · 2009
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A generally efficient targeted minimum loss-based estimator
M.J. van der Laan · 2015
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One-step targeted minimum loss-based estimation based on universal least favorable one-dimensional submodels
M.J. van der Laan and S. Gruber · 2015
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The highly adaptive lasso estimator
D. Benkeser and M.J. van der Laan · 2016
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Second-order inference for the mean of a variable missing at random
I. Díaz, M. Carone, and M.J. van der Laan · 2016
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Higher order targeted loss-based estimation
M. Carone, I. Diaz, and M.J. van der Laan · 2017
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A generally efficient targeted minimum loss based estimator
M.J. van der Laan · 2017
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Higher order inference on a treatment effect under low regularity conditions
L. Li, E. Tchetgen Tchetgen, A.W. van der Vaart, and J.M. Robins · 2011
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Targeted Learning: Causal Inference for Observational and Experimental Data
M.J. van der Laan and S. Rose · 2011
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Higher-order targeted minimum loss-based estimation
M. Carone, I. Díaz, and M.J. van der Laan · 2014
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Higher order tangent spaces and influence functions
A.W. van der Vaart · 2014
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Causal inference based on undersmoothing the highly adaptive lasso, 2019a
Mark J. van der Laan, David Benkeser, and Weixin Cai
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Efficient estimation of pathwise differentiable target parameters with the undersmoothed highly adaptive lasso, 2019b
Mark J. van der Laan, David Benkeser, and Weixin Cai
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Targeted Learning in Data Science: Causal Inference for Complex Longitudinal Studies
M.J. van der Laan and S. Rose · 2018
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Fast rates for empirical risk minimization over cadlag functions with bounded sectional variation norm
A. Bibaut and M.J. van der Laan · 2019
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One-step targeted maximum likelihood estimation for time to event outcomes
W. Cai and M.J. van der Laan · 2019
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Nonparametric bootstrap inference for the targeted highly adaptive lasso estimator, 2020
Weixin Cai and Mark van der Laan · 2020
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