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We consider the linear regression model with observation error in the design. In this setting, we allow the number of covariates to be much larger than the sample size. Several new estimation methods have been recently introduced for this…

统计理论 · 数学 2016-07-05 Alexandre Belloni , Mathieu Rosenbaum , Alexandre Tsybakov

The method of instrumental variables provides a fundamental and practical tool for causal inference in many empirical studies where unmeasured confounding between the treatments and the outcome is present. Modern data such as the genetical…

统计方法学 · 统计学 2022-10-28 Ziang Niu , Yuwen Gu , Wei Li

The Refined Instrumental Variable method for discrete-time systems (RIV) and its variant for continuous-time systems (RIVC) are popular methods for the identification of linear systems in open-loop. The continuous-time equivalent of the…

系统与控制 · 电气工程与系统科学 2023-06-01 Rodrigo A. González , Cristian R. Rojas , Siqi Pan , James S. Welsh

The finite sample properties of estimators are usually understood or approximated using asymptotic theories. Two main asymptotic constructions have been used to characterize the presence of many instruments. The first assumes that the…

计量经济学 · 经济学 2021-06-30 Guy Tchuente

Instrumental variable methods are among the most commonly used causal inference approaches to deal with unmeasured confounders in observational studies. The presence of invalid instruments is the primary concern for practical applications,…

统计方法学 · 统计学 2023-04-18 Zijian Guo

This paper studies the identification and estimation of the optimal linear approximation of a structural regression function. The parameter in the linear approximation is called the Optimal Linear Instrumental Variables Approximation…

计量经济学 · 经济学 2020-02-06 Juan Carlos Escanciano , Wei Li

Instrumental variable methods are often used for parameter estimation in the presence of confounding. They can also be applied in stochastic processes. Instrumental variable analysis exploits moment equations to obtain estimators for causal…

统计理论 · 数学 2023-02-22 Søren Wengel Mogensen

Granular instrumental variables (GIV) has experienced sharp growth in empirical macro-finance. The methodology's rise showcases granularity's potential for identification across many economic environments, like the estimation of spillovers…

计量经济学 · 经济学 2026-05-28 Eric Qian

Instrumental variables (IVs) provide a powerful strategy for identifying causal effects in the presence of unobservable confounders. Within the nonparametric setting (NPIV), recent methods have been based on nonlinear generalizations of…

机器学习 · 统计学 2024-12-24 Yuri Fonseca , Caio Peixoto , Yuri Saporito

We study instrumental-variable designs where policy reforms strongly shift the distribution of an endogenous variable but only weakly move its mean. We formalize this by introducing distributional relevance: instruments may be purely…

计量经济学 · 经济学 2026-02-12 Rowan Cherodian , Guy Tchuente

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…

统计方法学 · 统计学 2018-07-05 Edward H. Kennedy , Scott A. Lorch , Dylan S. Small

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…

机器学习 · 计算机科学 2020-07-17 Rahul Singh , Maneesh Sahani , Arthur Gretton

This paper proposes a new method for estimating high-dimensional binary choice models. We consider a semiparametric model that places no distributional assumptions on the error term, allows for heteroskedastic errors, and permits endogenous…

计量经济学 · 经济学 2025-07-15 Fu Ouyang , Thomas Tao Yang

This paper introduces a high-dimensional linear IV regression for the data sampled at mixed frequencies. We show that the high-dimensional slope parameter of a high-frequency covariate can be identified and accurately estimated leveraging…

计量经济学 · 经济学 2020-03-31 Andrii Babii

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

Instrumental variable analysis is a powerful tool for estimating causal effects when randomization or full control of confounders is not possible. The application of standard methods such as 2SLS, GMM, and more recent variants are…

机器学习 · 统计学 2020-06-08 Andrew Bennett , Nathan Kallus , Tobias Schnabel

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…

计量经济学 · 经济学 2025-07-01 Qu Feng , Sombut Jaidee , Wenjie Wang

Instrumental variables (eliminate the bias that afflicts least-squares identification of dynamical systems through noisy data, yet traditionally relies on external instruments that are seldom available for nonlinear time series data. We…

统计方法学 · 统计学 2026-05-11 Simon Kuang , Xinfan Lin

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…

统计方法学 · 统计学 2026-01-22 Gregor Steiner , Jeremie Houssineau , Mark F. J. Steel

Instrumental variables regression is a tool that is commonly used in the analysis of observational data. The instrumental variables are used to make causal inference about the effect of a certain exposure in the presence of unmeasured…

统计方法学 · 统计学 2023-09-07 Valentin Vancak , Arvid Sjölander