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We study the problem of selecting covariates for unbiased estimation of the total causal effect.Existing approaches typically rely on global causal structure learning over all variables, or on strong assumptions such as causal sufficiency -…

Machine Learning · Statistics 2026-05-22 Zeyu Liu , Zheng Li , Feng Xie , Yan Zeng , Hao Zhang , Kun Zhang

Non-randomized treatment effect models are widely used for the assessment of treatment effects in various fields and in particular social science disciplines like political science, psychometry, psychology. More specifically, these are…

Methodology · Statistics 2021-12-02 Debarghya Mukherjee , Moulinath Banerjee , Ya'acov Ritov

Methods that rely on proxies, without imposing strong parametric structure, are increasingly used to deal with unobserved variables in causal inference. One influential line of this work reconstructs latent distributions used to identify…

Methodology · Statistics 2026-05-12 Helen Guo , Ilya Shpitser , Elizabeth L. Ogburn

In randomized controlled trials without interference, regression adjustment is widely used to enhance the efficiency of treatment effect estimation. This paper extends this efficiency principle to settings with network interference, where a…

Methodology · Statistics 2025-02-18 Xinyuan Fan , Chenlei Leng , Weichi Wu

We consider a nonparametric regression model with continuous endogenous independent variables when only discrete instruments are available that are independent of the error term. Although this framework is very relevant for applied…

Econometrics · Economics 2024-10-18 Samuele Centorrino , Frédérique Fève , Jean-Pierre Florens

Mediation analysis is a crucial tool for uncovering the mechanisms through which a treatment affects the outcome, providing deeper causal insights and guiding effective interventions. Despite advances in analyzing the mediation effect with…

Methodology · Statistics 2025-08-11 Shi Bo , AmirEmad Ghassami , Debarghya Mukherjee

We introduce a new model of linear regression for random functional inputs taking into account the first order derivative of the data. We propose an estimation method which comes down to solving a special linear inverse problem. Our…

Statistics Theory · Mathematics 2016-08-16 André Mas , Besnik Pumo

Due to its strong interpretability, linear regression is widely used in social science, from which significance test provides the significance level of models or coefficients in the traditional statistical inference. However, linear…

Machine Learning · Computer Science 2020-06-08 Jiaye Teng , Yang Yuan

Researchers are often interested in learning not only the effect of treatments on outcomes, but also the pathways through which these effects operate. A mediator is a variable that is affected by treatment and subsequently affects outcome.…

Methodology · Statistics 2021-12-22 Jeremiah Jones , Ashkan Ertefaie , Robert L. Strawderman

This paper studies a regression model with functional dependent and explanatory variables, both of which exhibit nonstationary dynamics. The model assumes that the nonstationary stochastic trends of the dependent variable are explained by…

Methodology · Statistics 2025-10-02 Kyungsik Nam , Won-Ki Seo

The increasing popularity of regression discontinuity methods for causal inference in observational studies has led to a proliferation of different estimating strategies, most of which involve first fitting non-parametric regression models…

Methodology · Statistics 2018-06-11 Guido Imbens , Stefan Wager

Estimation of the mean and covariance parameters for functional data is a critical task, with local linear smoothing being a popular choice. In recent years, many scientific domains are producing multivariate functional data for which $p$,…

Statistics Theory · Mathematics 2024-09-24 Alexander Petersen

We consider adaptive estimation and statistical inference for high-dimensional graph-based linear models. In our model, the coordinates of regression coefficients correspond to an underlying undirected graph. Furthermore, the given graph…

Statistics Theory · Mathematics 2020-01-30 Duzhe Wang , Po-Ling Loh

This paper proposes a desparsified GMM estimator for estimating high-dimensional regression models allowing for, but not requiring, many more endogenous regressors than observations. We provide finite sample upper bounds on the estimation…

Statistics Theory · Mathematics 2019-09-11 Mehmet Caner , Anders Bredahl Kock

In this paper, we consider estimation and inference for the unknown parameters and function involved in a class of generalized hierarchical models. Such models are of great interest in the literature of neural networks (such as Bauer and…

Econometrics · Economics 2024-04-03 Chaohua Dong , Jiti Gao , Bin Peng , Yayi Yan

Consider estimation of average treatment effects with multi-valued treatments using augmented inverse probability weighted (IPW) estimators, depending on outcome regression and propensity score models in high-dimensional settings. These…

Methodology · Statistics 2022-01-25 Wenfu Xu , Zhiqiang Tan

Many imputation methods are based on statistical models that assume that the variable of interest is a noisy observation of a function of the auxiliary variables or covariates. Misspecification of this model may lead to severe errors in…

Methodology · Statistics 2022-02-09 Caren Hasler , Radu V. Craiu

This paper considers nonparametric estimation and inference in first-order autoregressive (AR(1)) models with deterministically time-varying parameters. A key feature of the proposed approach is to allow for time-varying stationarity in…

Econometrics · Economics 2024-11-04 Donald W. K. Andrews , Ming Li

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…

Machine Learning · Statistics 2021-01-26 Thanh Vinh Vo , Pengfei Wei , Wicher Bergsma , Tze-Yun Leong

Fitting high-dimensional statistical models often requires the use of non-linear parameter estimation procedures. As a consequence, it is generally impossible to obtain an exact characterization of the probability distribution of the…

Methodology · Statistics 2014-04-03 Adel Javanmard , Andrea Montanari