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This chapter reviews the instrumental variable quantile regression model of Chernozhukov and Hansen (2005). We discuss the key conditions used for identification of structural quantile effects within this model which include the…

Econometrics · Economics 2020-09-02 Victor Chernozhukov , Christian Hansen , Kaspar Wuthrich

In the instrumental variable quantile regression (IVQR) model of Chernozhukov and Hansen (2005), a one-dimensional unobserved rank variable monotonically determines a single potential outcome. In practice, when researchers are interested in…

Econometrics · Economics 2025-10-28 Haruki Kono

We study identification in nonparametric regression models with a misclassified and endogenous binary regressor when an instrument is correlated with misclassification error. We show that the regression function is nonparametrically…

Econometrics · Economics 2021-08-31 Hiroyuki Kasahara , Katsumi Shimotsu

This paper studies a semiparametric quantile regression model with endogenous variables and random right censoring. The endogeneity issue is solved using instrumental variables. It is assumed that the structural quantile of the logarithm of…

Econometrics · Economics 2023-02-03 Jad Beyhum , Lorenzo Tedesco , Ingrid Van Keilegom

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

There are many environments in econometrics which require nonseparable modeling of a structural disturbance. In a nonseparable model with endogenous regressors, key conditions are validity of instrumental variables and monotonicity of the…

Econometrics · Economics 2020-07-22 Christoph Breunig

This paper studies the identifying power of an instrumental variable in the nonparametric heterogeneous treatment effect framework when a binary treatment is mismeasured and endogenous. Using a binary instrumental variable, I characterize…

Statistics Theory · Mathematics 2017-05-22 Takuya Ura

Instrumental variables are widely used to deal with unmeasured confounding in observational studies and imperfect randomized controlled trials. In these studies, researchers often target the so-called local average treatment effect as it is…

Methodology · Statistics 2022-03-24 Linbo Wang , Yuexia Zhang , Thomas S. Richardson , James M. Robins

This paper investigates how certain relationship between observed and counterfactual distributions serves as an identifying condition for treatment effects when the treatment is endogenous, and shows that this condition holds in a range of…

Econometrics · Economics 2023-11-28 Sukjin Han , Haiqing Xu

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

Instrumental variable regression is a common approach for causal inference in the presence of unobserved confounding. However, identifying valid instruments is often difficult in practice. In this paper, we propose a novel method based on…

Methodology · Statistics 2026-01-22 Gregor Steiner , Jeremie Houssineau , Mark F. J. Steel

The hypothesis of homogeneous treatment effects is central to the instrumental variables literature. This assumption signifies that treatment effects are constant across all subjects. It allows to interpret instrumental variable estimates…

Econometrics · Economics 2023-04-17 Jad Beyhum , Jean-Pierre Florens , Elia Lapenta , Ingrid Van Keilegom

Instrumental variable methods can identify causal effects even when the treatment and outcome are confounded. We study the problem of imperfect measurements of the binary instrumental variable, treatment or outcome. We first consider…

Methodology · Statistics 2019-06-06 Zhichao Jiang , Peng Ding

Inferring causal relationships from observational data is often challenging due to endogeneity. This paper provides new identification results for causal effects of discrete, ordered and continuous treatments using multiple binary…

Econometrics · Economics 2024-10-21 Nadja van 't Hoff

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

We study categorical instrumental variable (IV) models with instrument, treatment, and outcome taking finitely many values. We derive a simple closed-form characterization of the set of joint distributions of potential outcomes that are…

Statistics Theory · Mathematics 2025-11-13 Yilin Song , F. Richard Guo , K. C. Gary Chan , Thomas S. Richardson

Instrumental variable methods are widely used for inferring the causal effect in the presence of unmeasured confounders. Existing instrumental variable methods for nonlinear outcome models require stringent identifiability conditions. This…

Methodology · Statistics 2022-07-01 Sai Li , Zijian Guo

This paper studies identification of the effect of a mis-classified, binary, endogenous regressor when a discrete-valued instrumental variable is available. We begin by showing that the only existing point identification result for this…

Econometrics · Economics 2020-11-17 Francis J. DiTraglia , Camilo Garcia-Jimeno

We provide a justification for why, and when, endogeneity will not cause bias in the interpretation of the coefficients in a regression model. This technique can be a viable alternative to, or even used alongside, the instrumental variable…

General Economics · Economics 2022-03-29 Ravi Kashyap

This paper develops an empirical balancing approach for the estimation of treatment effects under two-sided noncompliance using a binary conditionally independent instrumental variable. The method weighs both treatment and outcome…

Econometrics · Economics 2020-07-10 Phillip Heiler
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