English
Related papers

Related papers: The Functional Average Treatment Effect

200 papers

Most existing methods for testing equality of means of functional data from multiple populations rely on assumptions of equal covariance and/or Gaussianity. In this work we provide a new testing method based on a statistic that is…

Methodology · Statistics 2025-09-30 Chuang Xu , Andrew T. A. Wood , Yanrong Yang

Causal effect estimation is a critical task in statistical learning that aims to find the causal effect on subjects by identifying causal links between a number of predictor (or, explanatory) variables and the outcome of a treatment. In a…

Methodology · Statistics 2024-11-26 Tathagata Basu , Matthias C. M. Troffaes

The purpose of this work is to improve the efficiency in estimating the average causal effect (ACE) on the survival scale where right-censoring exists and high-dimensional covariate information is available. We propose new estimators using…

Methodology · Statistics 2021-06-29 Ran Dai , Cheng Zheng , Mei-Jie Zhang

A new meta-algorithm for estimating the conditional average treatment effects is proposed in the paper. The main idea underlying the algorithm is to consider a new dataset consisting of feature vectors produced by means of concatenation of…

Machine Learning · Statistics 2019-09-10 Lev V. Utkin , Mikhail V. Kots , Viacheslav S. Chukanov

This paper develops methods for uncertainty quantification in causal inference settings with random network interference. We study the large-sample distributional properties of the classical difference-in-means Hajek treatment effect…

Methodology · Statistics 2025-11-11 Matias D. Cattaneo , Yihan He , Ruiqi Rae Yu

Many interventions are both beneficial to initiate and harmful to stop. Traditionally, to determine whether to deploy that intervention in a time-limited way depends on if, on average, the increase in the benefits of starting it outweigh…

Estimation of mean and covariance functions is fundamental for functional data analysis. While this topic has been studied extensively in the literature, a key assumption is that there are enough data in the domain of interest to estimate…

Methodology · Statistics 2020-09-01 Zhenhua Lin , Jane-Ling Wang , Qixian Zhong

This article explores a general factor structure for high-dimensional nonstationary functional time series, encompassing a wide range of factor models studied in the existing literature. We investigate the asymptotic spectral behaviors of…

Methodology · Statistics 2026-03-30 Adam Nie , Yanrong Yang , Han Lin Shang , Yi He

The instrumental variable method is widely used in the health and social sciences for identification and estimation of causal effects in the presence of potentially unmeasured confounding. In order to improve efficiency, multiple…

Methodology · Statistics 2022-04-19 Baoluo Sun , Zhonghua Liu , Eric Tchetgen Tchetgen

Robust estimation approaches are of fundamental importance for statistical modelling. To reduce susceptibility to outliers, we propose a robust estimation procedure with t-process under functional ANOVA model. Besides common mean structure…

Methodology · Statistics 2018-12-19 Chen Zhang , Zimu Chen , Zhanfeng Wang , Yaohua Wu

Meta-analysis, by synthesizing effect estimates from multiple studies conducted in diverse settings, stands at the top of the evidence hierarchy in clinical research. Yet, conventional approaches based on fixed- or random-effects models…

Instrumental variables are a popular study design for the estimation of treatment effects in the presence of unobserved confounders. In the canonical instrumental variables design, the instrument is a binary variable. In many settings,…

Methodology · Statistics 2024-10-10 Prabrisha Rakshit , Alexander Levis , Luke Keele

In this paper, we develop a multiply robust inference procedure of the average treatment effect (ATE) for data with high-dimensional covariates. We consider the case where it is difficult to correctly specify a single parametric model for…

Methodology · Statistics 2025-09-03 Xintao Xia , Yumou Qiu

First, we analyze the variance of the Cross Validation (CV)-based estimators used for estimating the performance of classification rules. Second, we propose a novel estimator to estimate this variance using the Influence Function (IF)…

Machine Learning · Statistics 2021-11-10 Waleed A. Yousef

Comparing counterfactual distributions can provide more nuanced and valuable measures for causal effects, going beyond typical summary statistics such as averages. In this work, we consider characterizing causal effects via distributional…

Machine Learning · Statistics 2024-11-05 Kwangho Kim , Jisu Kim , Edward H. Kennedy

The estimand framework proposed by ICH in 2017 has brought fundamental changes in the pharmaceutical industry. It clearly describes how a treatment effect in a clinical question should be precisely defined and estimated, through attributes…

Other Statistics · Statistics 2025-12-09 Jinghong Zeng

Practitioners are interested in not only the average causal effect of the treatment on the outcome but also the underlying causal mechanism in the presence of an intermediate variable between the treatment and outcome. However, in many…

Methodology · Statistics 2016-02-04 Peng Ding , Jiannan Lu

Although there are many methods for functional data analysis (FDA), little emphasis is put on characterizing variability among volatilities of individual functions. In particular, certain individuals exhibit erratic swings in their…

Applications · Statistics 2012-12-04 Bin Zhu , David B. Dunson

Inference for functional linear models in the presence of heteroscedastic errors has received insufficient attention given its practical importance; in fact, even a central limit theorem has not been studied in this case. At issue,…

Statistics Theory · Mathematics 2024-05-27 Hyemin Yeon , Xiongtao Dai , Daniel John Nordman

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…

Methodology · Statistics 2026-02-27 Xinyuan Chen , Fan Li