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Instrumental variables (IV) regression is a popular method for the estimation of the endogenous treatment effects. Conventional IV methods require all the instruments are relevant and valid. However, this is impractical especially in…

Econometrics · Economics 2020-06-29 Qingliang Fan , Yaqian Wu

Instrumental variable (IV) regression is a standard strategy for learning causal relationships between confounded treatment and outcome variables from observational data by utilizing an instrumental variable, which affects the outcome only…

Machine Learning · Computer Science 2023-06-28 Liyuan Xu , Yutian Chen , Siddarth Srinivasan , Nando de Freitas , Arnaud Doucet , Arthur Gretton

Instrumental variable analysis is a widely used method to estimate causal effects in the presence of unmeasured confounding. When the instruments, exposure and outcome are not measured in the same sample, Angrist and Krueger (1992)…

Statistics Theory · Mathematics 2018-09-07 Qingyuan Zhao , Jingshu Wang , Jack Bowden , Dylan S. Small

Instrumental variables (IV) regression is widely used to estimate causal treatment effects in settings where receipt of treatment is not fully random, but there exists an instrument that generates exogenous variation in treatment exposure.…

Econometrics · Economics 2021-08-10 Stephen Coussens , Jann Spiess

The two-stage least-squares (2SLS) estimator is known to be biased when its first-stage fit is poor. I show that better first-stage prediction can alleviate this bias. In a two-stage linear regression model with Normal noise, I consider…

Statistics Theory · Mathematics 2017-11-01 Jann Spiess

We study identification and estimation of causal effects in settings with panel data. Traditionally researchers follow model-based identification strategies relying on assumptions governing the relation between the potential outcomes and…

Econometrics · Economics 2022-02-18 Dmitry Arkhangelsky , Guido W. Imbens

Traditionally, spline or kernel approaches in combination with parametric estimation are used to infer the linear coefficient (fixed effects) in a partially linear mixed-effects model for repeated measurements. Using machine learning…

Methodology · Statistics 2023-04-03 Corinne Emmenegger , Peter Bühlmann

The double/debiased machine learning (DML) framework has become a cornerstone of modern causal inference, allowing researchers to utilise flexible machine learning models for the estimation of nuisance functions without introducing…

Econometrics · Economics 2025-06-19 Charles Shaw

Researchers often use instrumental variables (IV) models to investigate the causal relationship between an endogenous variable and an outcome while controlling for covariates. When an exogenous variable is unavailable to serve as the…

Econometrics · Economics 2025-06-18 Moses Stewart

We consider estimation and inference in a linear model with endogenous regressors where the parameters of interest change across two samples. If the first-stage is common, we show how to use this information to obtain more efficient…

Econometrics · Economics 2024-06-26 Bertille Antoine , Otilia Boldea , Niccolo Zaccaria

Instrumental variables are commonly used to estimate effects of a treatment afflicted by unmeasured confounding, and in practice instruments are often continuous (e.g., measures of distance, or treatment preference). However, available…

Methodology · Statistics 2018-07-05 Edward H. Kennedy , Scott A. Lorch , Dylan S. Small

The panel data regression models have gained increasing attention in different areas of research including but not limited to econometrics, environmental sciences, epidemiology, behavioral and social sciences. However, the presence of…

Methodology · Statistics 2020-11-24 Beste Hamiye Beyaztas , Soutir Bandyopadhyay

This paper reviews, applies and extends recently proposed methods based on Double Machine Learning (DML) with a focus on program evaluation under unconfoundedness. DML based methods leverage flexible prediction models to adjust for…

Econometrics · Economics 2022-06-06 Michael C. Knaus

We consider the estimation of the average treatment effect in the treated as a function of baseline covariates, where there is a valid (conditional) instrument. We describe two doubly robust (DR) estimators: a locally efficient g-estimator,…

Methodology · Statistics 2019-06-11 Karla DiazOrdaz , Rhian Daniel , Noemi Kreif

This paper studies the challenging problem of estimating causal effects from observational data, in the presence of unobserved confounders. The two-stage least square (TSLS) method and its variants with a standard instrumental variable (IV)…

Machine Learning · Computer Science 2023-10-04 Debo Cheng , Ziqi Xu , Jiuyong Li , Lin Liu , Jixue Liu , Thuc Duy Le

This paper proposes a doubly robust two-stage semiparametric difference-in-difference estimator for estimating heterogeneous treatment effects with high-dimensional data. Our new estimator is robust to model miss-specifications and allows…

Econometrics · Economics 2020-09-08 Yang Ning , Sida Peng , Jing Tao

In the new era of personalization, learning the heterogeneous treatment effect (HTE) becomes an inevitable trend with numerous applications. Yet, most existing HTE estimation methods focus on independently and identically distributed…

Machine Learning · Statistics 2023-01-31 Ye Shen , Runzhe Wan , Hengrui Cai , Rui Song

Instrumental variable (IV) methods are used to estimate causal effects in settings with unobserved confounding, where we cannot directly experiment on the treatment variable. Instruments are variables which only affect the outcome…

Methodology · Statistics 2023-05-26 Elisabeth Ailer , Jason Hartford , Niki Kilbertus

Panel data allows for the modeling of unobserved heterogeneity, significantly raising the number of nuisance parameters and making high dimensionality a practical issue. Meanwhile, temporal and cross-sectional dependence in panel data…

Econometrics · Economics 2025-12-23 Kaicheng Chen

We are in the middle of a remarkable rise in the use and capability of artificial intelligence. Much of this growth has been fueled by the success of deep learning architectures: models that map from observables to outputs via multiple…

Applications · Statistics 2017-01-02 Jason Hartford , Greg Lewis , Kevin Leyton-Brown , Matt Taddy