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Evaluation of treatment effects and more general estimands is typically achieved via parametric modelling, which is unsatisfactory since model misspecification is likely. Data-adaptive model building (e.g. statistical/machine learning) is…

统计理论 · 数学 2022-01-14 Oliver Hines , Oliver Dukes , Karla Diaz-Ordaz , Stijn Vansteelandt

Many practical problems involve estimating low dimensional statistical quantities with high-dimensional models and datasets. Several approaches address these estimation tasks based on the theory of influence functions, such as…

统计计算 · 统计学 2024-03-11 Raj Agrawal , Sam Witty , Andy Zane , Eli Bingham

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 interventions, covariates, and outcome can happen at…

统计理论 · 数学 2021-05-06 Helene C. Rytgaard , Thomas A. Gerds , Mark J. van der Laan

Integral projection models (IPMs) are widely used to study population growth and the dynamics of demographic structure (e.g. age and size distributions) within a population.These models use data on individuals' growth, survival, and…

统计方法学 · 统计学 2024-11-14 Yunzhe Zhou , Giles Hooker

This paper proposes a closed-form optimal estimator based on the theory of estimating functions for a class of linear ARCH models. The estimating function (EF) estimator has the advantage over the widely used maximum likelihood (ML) and…

统计理论 · 数学 2008-12-05 Ajay Chandra

We aim to construct a class of learning algorithms that are of practical value to applied researchers in fields such as biostatistics, epidemiology and econometrics, where the need to learn from incompletely observed information is…

统计方法学 · 统计学 2021-02-09 Alicia Curth , Ahmed M. Alaa , Mihaela van der Schaar

We propose a novel targeted maximum likelihood estimator (TMLE) for quantiles in semiparametric missing data models. Our proposed estimator is locally efficient, $\sqrt{n}$-consistent, asymptotically normal, and doubly robust, under…

统计方法学 · 统计学 2016-08-23 Iván Díaz

Epidemiologists increasingly use causal inference methods that rely on machine learning, as these approaches can relax unnecessary model specification assumptions. While deriving and studying asymptotic properties of such estimators is a…

统计方法学 · 统计学 2025-02-11 Audrey Renson , Lina Montoya , Dana E. Goin , Iván Díaz , Rachael K. Ross

There is intense interest in applying machine learning to problems of causal inference in fields such as healthcare, economics and education. In particular, individual-level causal inference has important applications such as precision…

机器学习 · 统计学 2017-05-17 Uri Shalit , Fredrik D. Johansson , David Sontag

Estimators based on influence functions (IFs) have been shown to be effective in many settings, especially when combined with machine learning techniques. By focusing on estimating a specific target of interest (e.g., the average effect of…

统计方法学 · 统计学 2019-10-29 Aaron Fisher , Edward H. Kennedy

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

Modern causal inference methods allow machine learning to be used to weaken parametric modeling assumptions. However, the use of machine learning may result in complications for inference. Doubly-robust cross-fit estimators have been…

统计方法学 · 统计学 2022-03-11 Paul N Zivich , Alexander Breskin

Machine learning has shown much promise in helping improve the quality of medical, legal, and financial decision-making. In these applications, machine learning models must satisfy two important criteria: (i) they must be causal, since the…

机器学习 · 计算机科学 2021-10-12 Carolyn Kim , Osbert Bastani

Robust optimization has been widely used in nowadays data science, especially in adversarial training. However, little research has been done to quantify how robust optimization changes the optimizers and the prediction losses comparing to…

机器学习 · 计算机科学 2020-10-06 Zhun Deng , Cynthia Dwork , Jialiang Wang , Linjun Zhang

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

We address the practical construction of asymptotic confidence intervals for smooth (i.e., path-wise differentiable), real-valued statistical parameters by targeted learning from independent and identically distributed data in contexts…

统计理论 · 数学 2016-07-01 Patrice Bertail , Antoine Chambaz , Emilien Joly

Maximum Likelihood Estimators (MLE) has many good properties. For example, the asymptotic variance of MLE solution attains equality of the asymptotic Cram{\'e}r-Rao lower bound (efficiency bound), which is the minimum possible variance for…

机器学习 · 统计学 2019-11-05 Song Liu , Takafumi Kanamori , Wittawat Jitkrittum , Yu Chen

Unlike the commonly used parametric regression models such as mixed models, that can easily violate the required statistical assumptions and result in invalid statistical inference, target maximum likelihood estimation allows more realistic…

应用统计 · 统计学 2020-06-17 Chi Zhang , Jennifer Ahern , Mark J. van der Laan

Point estimation is a fundamental statistical task. Given the wide selection of available point estimators, it is unclear, however, what, if any, would be universally-agreed theoretical reasons to generally prefer one such estimator over…

统计理论 · 数学 2024-06-05 Michael Brand

Interventional effects for mediation analysis were proposed as a solution to the lack of identifiability of natural (in)direct effects in the presence of a mediator-outcome confounder affected by exposure. We present a theoretical and…

统计方法学 · 统计学 2020-11-17 Iván Díaz , Nima S. Hejazi , Kara E. Rudolph , Mark J. van der Laan
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