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Instrumental variables (IVs) are widely used to estimate causal effects from non-randomized data. A canonical example is a randomized trial with noncompliance, in which the randomized treatment assignment serves as an IV for the…

Methodology · Statistics 2026-02-06 Rui Wang , Ying-Qi Zhao , Oliver Dukes , Bo Zhang

In this article, we review quantile models with endogeneity. We focus on models that achieve identification through the use of instrumental variables and discuss conditions under which partial and point identification are obtained. We…

Applications · Statistics 2017-10-03 Victor Chernozhukov , Christian Hansen

This paper studies the confounding effects from the unmeasured confounders and the imbalance of observed confounders in IV regression and aims at unbiased causal effect estimation. Recently, nonlinear IV estimators were proposed to allow…

Artificial Intelligence · Computer Science 2022-11-21 Anpeng Wu , Kun Kuang , Ruoxuan Xiong , Bo Li , Fei Wu

This paper considers identification and estimation of the causal effect of the time Z until a subject is treated on a survival outcome T. The treatment is not randomly assigned, T is randomly right censored by a random variable C and the…

Statistics Theory · Mathematics 2022-12-20 Jad Beyhum , Samuele Centorrino , Jean-Pierre Florens , Ingrid Van Keilegom

Instrumental variable (IV) regression relies on instruments to infer causal effects from observational data with unobserved confounding. We consider IV regression in time series models, such as vector auto-regressive (VAR) processes. Direct…

Methodology · Statistics 2024-07-23 Nikolaj Thams , Rikke Søndergaard , Sebastian Weichwald , Jonas Peters

Causal inference is the process of using assumptions, study designs, and estimation strategies to draw conclusions about the causal relationships between variables based on data. This allows researchers to better understand the underlying…

Machine Learning · Computer Science 2022-12-13 Anpeng Wu , Kun Kuang , Ruoxuan Xiong , Fei Wu

We study the informational content of factor structures in discrete triangular systems. Factor structures have been employed in a variety of settings in cross sectional and panel data models, and in this paper we formally quantify their…

Econometrics · Economics 2022-03-25 Shakeeb Khan , Arnaud Maurel , Yichong Zhang

This study investigates the causal interpretation of linear social interaction models in the presence of endogeneity in network formation under a heterogeneous treatment effects framework. We consider an experimental setting in which…

Econometrics · Economics 2023-10-23 Tadao Hoshino

As network data applications continue to expand, causal inference within networks has garnered increasing attention. However, hidden confounders complicate the estimation of causal effects. Most methods rely on the strong ignorability…

Machine Learning · Computer Science 2024-09-16 Xiaojing Du , Feiyu Yang , Wentao Gao , Xiongren Chen

Standard instrumental variables (IV) methods identify a Local Average Treatment Effect under monotonicity, which rules out defiers. In many empirical environments, however, distinct instruments may induce heterogeneous and even opposing…

Econometrics · Economics 2026-02-16 Johann Caro-Burnett

Latent confounders are a fundamental challenge for inferring causal effects from observational data. The instrumental variable (IV) approach is a practical way to address this challenge. Existing IV based estimators need a known IV or other…

Machine Learning · Computer Science 2024-12-09 Debo Cheng , Jiuyong Li , Lin Liu , Ziqi Xu , Weijia Zhang , Jixue Liu , Thuc Duy Le

For binary outcome models, an endogeneity correction based on nonlinear rank-based transformations is proposed. Identification without external instruments is achieved under one of two assumptions: either the endogenous regressor is a…

Econometrics · Economics 2025-05-06 Alexander Mayer , Dominik Wied

Instrument variable (IV) methods are widely used in empirical research to identify causal effects of a policy. In the local average treatment effect (LATE) framework, the IV estimand identifies the LATE under three main assumptions: random…

Econometrics · Economics 2025-03-21 Désiré Kédagni , Huan Wu , Yi Cui

Nonignorable missing outcomes are common in real world datasets and often require strong parametric assumptions to achieve identification. These assumptions can be implausible or untestable, and so we may forgo them in favour of partially…

Methodology · Statistics 2023-10-19 Daniel Daly-Grafstein , Paul Gustafson

A popular way to estimate the causal effect of a variable x on y from observational data is to use an instrumental variable (IV): a third variable z that affects y only through x. The more strongly z is associated with x, the more reliable…

Machine Learning · Computer Science 2020-04-14 Zhaobin Kuang , Frederic Sala , Nimit Sohoni , Sen Wu , Aldo Córdova-Palomera , Jared Dunnmon , James Priest , Christopher Ré

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

We address the issue of the testability of instrumental variables derived from observational data. Most existing testable implications are centered on scenarios where the treatment is a discrete variable, e.g., instrumental inequality…

Methodology · Statistics 2026-03-13 Xichen Guo , Zheng Li , Biwei Huang , Yan Zeng , Zhi Geng , Feng Xie

This paper studies nonparametric local (over-)identification and the semiparametric efficiency in modern causal frameworks. We develop a unified approach that begins by translating structural models with latent variables into their induced…

Econometrics · Economics 2026-03-02 Xiaohong Chen , Haitian Xie

Instrumental variables have been widely used to estimate the causal effect of a treatment on an outcome. Existing confidence intervals for causal effects based on instrumental variables assume that all of the putative instrumental variables…

Methodology · Statistics 2020-06-03 Hyunseung Kang , Youjin Lee , T. Tony Cai , Dylan S. Small

Instrumental variable methods have been widely used to identify causal effects in the presence of unmeasured confounding. A key identification condition known as the exclusion restriction states that the instrument cannot have a direct…

Methodology · Statistics 2022-08-05 Baoluo Sun , Yifan Cui , Eric Tchetgen Tchetgen
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