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We propose novel estimators for categorical and continuous treatments by using an optimal covariate balancing strategy for inverse probability weighting. The resulting estimators are shown to be consistent and asymptotically normal for…

统计方法学 · 统计学 2025-09-08 Seong-ho Lee , Yanyuan Ma , Xavier de Luna

We consider a longitudinal data structure consisting of baseline covariates, time-varying treatment variables, intermediate time-dependent covariates, and a possibly time dependent outcome. Previous studies have shown that estimating the…

统计理论 · 数学 2018-10-09 Linh Tran , Maya Petersen , Joshua Schwab , Mark J van der Laan

Generalized causal effect estimands, including the Mann-Whitney parameter and causal net benefit, provide flexible summaries of treatment effects in randomized experiments with non-Gaussian or multivariate outcomes. We develop a unified…

统计方法学 · 统计学 2026-02-27 Xinyuan Chen , Fan Li

We propose estimators based on kernel ridge regression for nonparametric causal functions such as dose, heterogeneous, and incremental response curves. Treatment and covariates may be discrete or continuous in general spaces. Due to a…

计量经济学 · 经济学 2022-10-25 Rahul Singh , Liyuan Xu , Arthur Gretton

When assessing the causal effect of a binary exposure using observational data, confounder imbalance across exposure arms must be addressed. Matching methods, including propensity score-based matching, can be used to deconfound the causal…

统计方法学 · 统计学 2024-10-01 Ernesto Ulloa-Pérez , Marco Carone , Alex Luedtke

Outcome-dependent sampling designs are common in many different scientific fields including epidemiology, ecology, and economics. As with all observational studies, such designs often suffer from unmeasured confounding, which generally…

统计方法学 · 统计学 2020-10-13 Erin E. Gabriel , Michael C. Sachs , Arvid Sjölander

We consider the problem of estimating an unknown coordinate-wise monotone function given noisy measurements, known as the isotonic regression problem. Often, only a small subset of the features affects the output. This motivates the sparse…

统计理论 · 数学 2019-07-04 David Gamarnik , Julia Gaudio

Nonparametric regression is a standard statistical tool with increased importance in the Big Data era. Boundary points pose additional difficulties but local polynomial regression can be used to alleviate them. Local linear regression, for…

其他统计学 · 统计学 2017-04-04 Srinjoy Das , Dimitris N. Politis

This article introduces a new nonparametric method for estimating a univariate regression function of bounded variation. The method exploits the Jordan decomposition which states that a function of bounded variation can be decomposed as the…

统计理论 · 数学 2016-08-11 Arnaud Guyader , Nick Hengartner , Nicolas Jégou , Eric Matzner-Løber

Causal discovery estimates the underlying physical process that generates the observed data: does X cause Y or does Y cause X? Current methodologies use structural conditions to turn the causal query into a statistical query, when only…

机器学习 · 统计学 2020-08-14 Martin Jørgensen , Søren Hauberg

Continuous treatments (e.g., doses) arise often in practice, but many available causal effect estimators are limited by either requiring parametric models for the effect curve, or by not allowing doubly robust covariate adjustment. We…

统计方法学 · 统计学 2017-04-21 Edward H. Kennedy , Zongming Ma , Matthew D. McHugh , Dylan S. Small

Participant noncompliance, in which participants do not follow their assigned treatment protocol, often obscures the causal relationship between treatment and treatment effect in randomized trials. In the longitudinal setting, the…

统计方法学 · 统计学 2023-02-09 Ross L Peterson , David M Vock , Joseph S Koopmeiners

In this paper, we propose a robust method to estimate the average treatment effects in observational studies when the number of potential confounders is possibly much greater than the sample size. We first use a class of penalized…

统计方法学 · 统计学 2018-12-21 Yang Ning , Sida Peng , Kosuke Imai

In this paper we investigate the problem of estimating the regression function in models with correlated observations. The data is obtained from several experimental units each of them forms a time series. We propose a new estimator based…

统计理论 · 数学 2019-06-13 Djihad Benelmadani , Karim Benhenni , Sana Louhichi

We study the problem of estimating the continuous response over time to interventions using observational time series---a retrospective dataset where the policy by which the data are generated is unknown to the learner. We are motivated by…

机器学习 · 计算机科学 2016-12-13 Yanbo Xu , Yanxun Xu , Suchi Saria

We consider bivariate observations $(X_1,Y_1), \ldots, (X_n,Y_n)$ such that, conditional on the $X_i$, the $Y_i$ are independent random variables with distribution functions $F_{X_i}$, where $(F_x)_x$ is an unknown family of distribution…

统计理论 · 数学 2020-09-09 Alexandre Mösching , Lutz Duembgen

Doubly robust estimators of causal effects are a popular means of estimating causal effects. Such estimators combine an estimate of the conditional mean of the outcome given treatment and confounders (the so-called outcome regression) with…

统计方法学 · 统计学 2019-01-17 David Benkeser , Weixin Cai , Mark J van der Laan

Standard regression adjustment gives inconsistent estimates of causal effects when there are time-varying treatment effects and time-varying covariates. Loosely speaking, the issue is that some covariates are post-treatment variables…

统计方法学 · 统计学 2024-03-12 Stephen Bates , Edward Kennedy , Robert Tibshirani , Valerie Ventura , Larry Wasserman

Performing causal inference in observational studies requires we assume confounding variables are correctly adjusted for. G-computation methods are often used in these scenarios, with several recent proposals using Bayesian versions of…

统计方法学 · 统计学 2021-10-25 Daniel Daly-Grafstein , Paul Gustafson

This work extends causal inference with stochastic confounders. We propose a new approach to variational estimation for causal inference based on a representer theorem with a random input space. We estimate causal effects involving latent…

机器学习 · 统计学 2021-01-26 Thanh Vinh Vo , Pengfei Wei , Wicher Bergsma , Tze-Yun Leong