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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…

综合经济学 · 经济学 2022-03-29 Ravi Kashyap

Linear regressions with endogeneity are widely used to estimate causal effects. This paper studies a framework that involves two common practical issues: endogeneity of the regressors and heteroskedasticity that depends on endogenous…

计量经济学 · 经济学 2025-12-10 Javier Alejo , Antonio F. Galvao , Julian Martinez-Iriarte , Gabriel Montes-Rojas

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…

统计理论 · 数学 2017-11-01 Jann Spiess

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…

计量经济学 · 经济学 2024-10-18 Samuele Centorrino , Frédérique Fève , Jean-Pierre Florens

The instrumental variable (IV) approach is a widely used way to estimate the causal effects of a treatment on an outcome of interest from observational data with latent confounders. A standard IV is expected to be related to the treatment…

机器学习 · 计算机科学 2022-11-30 Debo Cheng , Ziqi Xu , Jiuyong Li , Lin Liu , Jixue Liu , Thuc Duy Le

Estimating causal effects from high-dimensional, structured exposures is a fundamental challenge in modern applications ranging from neuroscience and finance to environmental science. While the literature has addressed high-dimensional…

统计方法学 · 统计学 2026-04-29 Samhita Pal , Dhrubajyoti Ghosh

In this paper, we study nonparametric estimation of instrumental variable (IV) regressions. Recently, many flexible machine learning methods have been developed for instrumental variable estimation. However, these methods have at least one…

This article considers inference in linear instrumental variables models with many regressors, all of which could be endogenous. We propose the STIV estimator. Identification robust confidence sets are derived by solving linear programs. We…

统计理论 · 数学 2021-08-09 Eric Gautier , Christiern Rose

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.…

计量经济学 · 经济学 2021-08-10 Stephen Coussens , Jann Spiess

The method of instrumental variables (IV) provides a framework to study causal effects in both randomized experiments with noncompliance and in observational studies where natural circumstances produce as-if random nudges to accept…

统计方法学 · 统计学 2018-02-07 Hyunseung Kang , Laura Peck , Luke Keele

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)…

统计理论 · 数学 2018-09-07 Qingyuan Zhao , Jingshu Wang , Jack Bowden , Dylan S. Small

Instrumental variable (IV) methods mitigate bias from unobserved confounding in observational causal inference but rely on the availability of a valid instrument, which can often be difficult or infeasible to identify in practice. In this…

机器学习 · 统计学 2026-04-08 Frances Dean , Jenna Fields , Radhika Bhalerao , Marie Charpignon , Ahmed Alaa

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…

计量经济学 · 经济学 2025-06-18 Moses Stewart

Endogeneity, i.e. the dependence of noise and covariates, is a common phenomenon in real data due to omitted variables, strategic behaviours, measurement errors etc. In contrast, the existing analyses of stochastic online linear regression…

机器学习 · 计算机科学 2024-02-27 Riccardo Della Vecchia , Debabrota Basu

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…

计量经济学 · 经济学 2026-02-16 Johann Caro-Burnett

Pricing based on individual customer characteristics is widely used to maximize sellers' revenues. This work studies offline personalized pricing under endogeneity using an instrumental variable approach. Standard instrumental variable…

统计方法学 · 统计学 2023-02-27 Rui Miao , Zhengling Qi , Cong Shi , Lin Lin

Estimating dynamic treatment regimes (DTRs) from retrospective observational data is challenging as some degree of unmeasured confounding is often expected. In this work, we develop a framework of estimating properly defined "optimal" DTRs…

统计方法学 · 统计学 2021-04-19 Shuxiao Chen , Bo Zhang

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…

统计方法学 · 统计学 2012-03-20 Anna Karl , Alex Lenkoski

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…

统计方法学 · 统计学 2023-05-26 Elisabeth Ailer , Jason Hartford , Niki Kilbertus

The Granular Instrumental Variables (GIV) methodology exploits panels with factor error structures to construct instruments to estimate structural time series models with endogeneity even after controlling for latent factors. We extend the…

计量经济学 · 经济学 2023-09-26 Saman Banafti , Tae-Hwy Lee