18 citations · 48 across the 12 of their papers we have counts for
9 papers · 1 filter
Continuous-time targeted minimum loss-based estimation of intervention-specific mean outcomes
Helene C. Rytgaard, Thomas A. Gerds, Mark J. van der Laan
This paper studies the generalization of the targeted minimum loss-based estimation (TMLE) framework to estimation of effects of time-varying interventions in settings where both i…
Adaptive Sequential Design for a Single Time-Series
Ivana Malenica, Aurelien Bibaut, Mark J. van der Laan
The current work is motivated by the need for robust statistical methods for precision medicine; as such, we address the need for statistical methods that provide actionable infere…
Sequential causal inference in a single world of connected units
Aurelien Bibaut, Maya Petersen, Nikos Vlassis +2
We consider adaptive designs for a trial involving N individuals that we follow along T time steps. We allow for the variables of one individual to depend on its past and on the pa…
Higher Order Targeted Maximum Likelihood Estimation
Mark van der Laan, Zeyi Wang, Lars van der Laan
Asymptotic efficiency of targeted maximum likelihood estimators (TMLE) of target features of the data distribution relies on a a second order remainder being asymptotically negligi…
Sufficient and insufficient conditions for the stochastic convergence of Cesàro means
Aurélien F. Bibaut, Alex Luedtke, Mark J. van der Laan
We study the stochastic convergence of the Cesàro mean of a sequence of random variables. These arise naturally in statistical problems that have a sequential component, where the…
Fast rates for empirical risk minimization over càdlàg functions with bounded sectional variation norm
Aurélien F. Bibaut, Mark J. van der Laan
Empirical risk minimization over classes functions that are bounded for some version of the variation norm has a long history, starting with Total Variation Denoising (Rudin et al.…