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The sophisticated and automated means of data collection used by an increasing number of institutions and companies leads to extremely large data sets. Subset selection in regression is essential when a huge number of covariates can…

Applications · Statistics 2013-04-22 Debbie J. Dupuis , Maria-Pia Victoria-Feser

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

We introduce Generalized Integrated Gradients (GIG), a formal extension of the Integrated Gradients (IG) (Sundararajan et al., 2017) method for attributing credit to the input variables of a predictive model. GIG improves IG by explaining a…

Machine Learning · Computer Science 2019-09-10 John Merrill , Geoff Ward , Sean Kamkar , Jay Budzik , Douglas Merrill

Many data sets contain an inherent multilevel structure, for example, because of repeated measurements of the same observational units. Taking this structure into account is critical for the accuracy and calibration of any statistical…

Methodology · Statistics 2020-05-07 Topi Paananen , Alejandro Catalina , Paul-Christian Bürkner , Aki Vehtari

We propose a weak-identification-robust test for linear instrumental variable (IV) regressions with high-dimensional instruments, whose number is allowed to exceed the sample size. In addition, our test is robust to general error…

Econometrics · Economics 2025-07-01 Qu Feng , Sombut Jaidee , Wenjie Wang

Local regression is widely used to explore spatial heterogeneity, but anisotropic or effectively low-dimensional neighborhoods can produce ill-conditioned local solves, causing coefficient variation driven by numerical artifacts rather than…

Methodology · Statistics 2026-03-31 Yuichiro Otani

This paper discusses estimation with a categorical instrumental variable in settings with potentially few observations per category. The proposed categorical instrumental variable estimator (CIV) leverages a regularization assumption that…

Econometrics · Economics 2024-05-27 Thomas Wiemann

The use of instrumental variables for estimating the effect of an exposure on an outcome is popular in econometrics, and increasingly so in epidemiology. This increasing popularity may be attributed to the natural occurrence of instrumental…

Methodology · Statistics 2016-08-03 T. Martinussen , S. Vansteelandt , E. J. Tchetgen Tchetgen , D. M. Zucker

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

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

We present a comprehensive R software ivmodel for analyzing instrumental variables with one endogenous variable. The package implements a general class of estimators called k- class estimators and two confidence intervals that are fully…

Applications · Statistics 2020-07-09 Hyunseung Kang , Yang Jiang , Qingyuan Zhao , Dylan S. Small

The endogeneity issue is fundamentally important as many empirical applications may suffer from the omission of explanatory variables, measurement error, or simultaneous causality. Recently, \cite{hllt17} propose a "Deep Instrumental…

Statistics Theory · Mathematics 2020-05-01 Ruiqi Liu , Zuofeng Shang , Guang Cheng

We study the problem of nonparametric regression when the regressor is endogenous, which is an important nonparametric instrumental variables (NPIV) regression in econometrics and a difficult ill-posed inverse problem with unknown operator…

Statistics Theory · Mathematics 2017-10-03 Xiaohong Chen , Timothy Christensen

We develop a method to perform model averaging in two-stage linear regression systems subject to endogeneity. Our method extends an existing Gibbs sampler for instrumental variables to incorporate a component of model uncertainty. Direct…

Methodology · Statistics 2012-03-20 Anna Karl , Alex Lenkoski

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

Robust estimators and different filtering techniques are proposed and their impact on the determination of a wide range of turbulence quantities is analysed. High-frequency water level measurements in a stepped spillway are used as a case…

Fluid Dynamics · Physics 2023-07-13 Daniel Valero , Hubert Chanson , Daniel B. Bung

The availability of data on economic uncertainty sparked a lot of interest in models that can timely quantify episodes of international spillovers of uncertainty. This challenging task involves trading off estimation accuracy for more…

General Economics · Economics 2023-02-07 Niels Gillmann , Ostap Okhrin

Instrumental variable (IV) methods are central to causal inference from observational data, particularly when a randomized experiment is not feasible. However, of the three conventional core IV identification conditions, only one, IV…

Methodology · Statistics 2025-09-23 Zhonghua Liu , Baoluo Sun , Ting Ye , David Richardson , Eric Tchetgen Tchetgen

Instrumental variables are a popular tool to infer causal effects under unobserved confounding, but choosing suitable instruments is challenging in practice. We propose gIVBMA, a Bayesian model averaging procedure that addresses this…

Methodology · Statistics 2026-03-02 Gregor Steiner , Mark Steel

Instrumental variable (IV) regression is a strategy for learning causal relationships in observational data. If measurements of input X and output Y are confounded, the causal relationship can nonetheless be identified if an instrumental…

Machine Learning · Computer Science 2020-07-17 Rahul Singh , Maneesh Sahani , Arthur Gretton