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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. In previous work we proposed a nonparametric MLE termed…

统计理论 · 数学 2021-07-02 Mark van der Laan , Zeyi Wang , Lars van der Laan

Causal mediation analysis with random interventions has become an area of significant interest for understanding time-varying effects with longitudinal and survival outcomes. To tackle causal and statistical challenges due to the complex…

统计方法学 · 统计学 2023-04-12 Zeyi Wang , Lars van der Laan , Maya Petersen , Thomas Gerds , Kajsa Kvist , Mark van der Laan

The Highly-Adaptive-Lasso(HAL)-TMLE is an efficient estimator of a pathwise differentiable parameter in a statistical model that at minimal (and possibly only) assumes that the sectional variation norm of the true nuisance parameters are…

统计理论 · 数学 2017-09-01 Mark van der Laan

Targeted maximum likelihood estimation (TMLE) is a general method for estimating parameters in semiparametric and nonparametric models. Each iteration of TMLE involves fitting a parametric submodel that targets the parameter of interest. We…

统计方法学 · 统计学 2014-06-03 Iván Díaz , Michael Rosenblum

Targeted maximum likelihood estimators (TMLEs) are asymptotically optimal among regular, asymptotically linear estimators. In small samples, however, we may be far from "asymptopia" and not reap the benefits of optimality. Here we propose a…

统计方法学 · 统计学 2025-02-04 Noel Pimentel , Alejandro Schuler , Mark van der Laan

The Highly-Adaptive-LASSO Targeted Minimum Loss Estimator (HAL-TMLE) is an efficient plug-in estimator of a pathwise differentiable parameter in a statistical model that at minimal (and possibly only) assumes that the sectional variation…

统计理论 · 数学 2020-02-12 Weixin Cai , Mark van der Laan

We consider estimation of a functional parameter of a realistically modeled data distribution based on observing independent and identically distributed observations. We define an $m$-th order Spline Highly Adaptive Lasso Minimum Loss…

统计理论 · 数学 2021-07-05 Mark J. van der Laan , David Benkeser , Weixin Cai

Adaptive experimental designs have gained popularity in clinical trials and online experiments. Unlike traditional, fixed experimental designs, adaptive designs can dynamically adjust treatment randomization probabilities and other design…

统计方法学 · 统计学 2025-08-19 Wenxin Zhang , Mark van der Laan

Consider the case that we observe $n$ independent and identically distributed copies of a random variable with a probability distribution known to be an element of a specified statistical model. We are interested in estimating an infinite…

统计理论 · 数学 2017-09-20 Mark J. van der Laan , Aurélien F. Bibaut

Estimating and obtaining reliable inference for the marginally adjusted causal dose-response curve for continuous treatments without relying on parametric assumptions is a well-known statistical challenge. Parametric models risk introducing…

统计方法学 · 统计学 2025-08-29 Junming Shi , Wenxin Zhang , Alan E. Hubbard , Mark van der Laan

Current Targeted Maximum Likelihood Estimation (TMLE) methods used to analyze time-to-event data estimate the survival probability for each time point separately, which result in estimates that are not necessarily monotone. In this paper,…

统计方法学 · 统计学 2019-06-14 Weixin Cai , Mark J. van der Laan

Estimating the mean counterfactual outcome under a treatment rule is a central problem in causal inference and policy evaluation. Standard estimators, including inverse probability weighting (IPW), augmented IPW (AIPW), and targeted maximum…

统计方法学 · 统计学 2026-05-06 Yichen Xu , Mark J. van der Laan

We introduce the Meta Highly-Adaptive-Lasso Minimum Loss Estimator (M-HAL-MLE), a novel ensemble approach for estimating functional parameters of realistically modeled data distribution from independent and identically distributed…

统计方法学 · 统计学 2025-07-28 Zeyi Wang , Wenxin Zhang , Brian S Caffo , Martin Lindquist , Mark van der Laan

The Laplace approximation (LA) has been proposed as a method for approximating the marginal likelihood of statistical models with latent variables. However, the approximate maximum likelihood estimators (MLEs) based on the LA are often…

统计方法学 · 统计学 2022-07-21 Jeongseop Han , Youngjo Lee

Survival is a key metric for evaluating standards of care for people living with HIV. In resource-limited settings, high rates of loss to follow-up (LTFU) often result in underestimation of mortality when only observed deaths are…

统计方法学 · 统计学 2025-11-20 Kirsten E. Landsiedel , Rachael V. Phillips , Maya L. Petersen , Mark J. van der Laan

We advocate for a practical Maximum Likelihood Estimation (MLE) approach towards designing loss functions for regression and forecasting, as an alternative to the typical approach of direct empirical risk minimization on a specific target…

机器学习 · 统计学 2021-10-12 Pranjal Awasthi , Abhimanyu Das , Rajat Sen , Ananda Theertha Suresh

Estimating the conditional mean function is a central task in statistical learning. In this paper, we consider estimation and inference for a nonparametric class of real-valued cadlag functions with bounded sectional variation (Gill et al.,…

统计方法学 · 统计学 2025-10-17 Wenxin Zhang , Junming Shi , Alan Hubbard , Mark van der Laan

Longitudinal targeted maximum likelihood estimation (LTMLE) has very rarely been used to estimate dynamic treatment effects in the context of time-dependent confounding affected by prior treatment when faced with long follow-up times,…

统计方法学 · 统计学 2021-03-05 Michael Schomaker , Miguel Angel Luque-Fernandez , Valeriane Leroy , Mary-Ann Davies

We propose a novel, fully nonparametric approach for the multi-task learning, the Multi-task Highly Adaptive Lasso (MT-HAL). MT-HAL simultaneously learns features, samples and task associations important for the common model, while imposing…

We study targeted maximum likelihood estimation (TMLE) of the average treatment effect in a semiparametric regression model whose mean function is indexed by a finite-dimensional parameter, while the additive error distribution is left…

统计方法学 · 统计学 2026-04-20 Mijeong Kim
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