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Recent advances in the literature have demonstrated that standard supervised learning algorithms are ill-suited for problems with endogenous explanatory variables. To correct for the endogeneity bias, many variants of nonparameteric…

计量经济学 · 经济学 2021-01-18 Edvard Bakhitov , Amandeep Singh

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…

统计方法学 · 统计学 2026-03-02 Gregor Steiner , Mark Steel

Mendelian randomization uses genetic variants as instrumental variables to make causal inferences about the effects of modifiable risk factors on diseases from observational data. One of the major challenges in Mendelian randomization is…

统计方法学 · 统计学 2024-10-29 Youpeng Su , Siqi Xu , Yilei Ma , Ping Yin , Wing Kam Fung , Hongwei Jiang , Peng Wang

Marginal model is a popular instrument for studying longitudinal data and cluster data. This paper investigates the estimator of marginal model with subgroup auxiliary information. To marginal model, we propose a new type of auxiliary…

统计方法学 · 统计学 2018-06-11 Jie He , Xiaogang Duan , Shumei Zhang , Hui Li

For many inference problems in statistics and econometrics, the unknown parameter is identified by a set of moment conditions. A generic method of solving moment conditions is the Generalized Method of Moments (GMM). However, classical GMM…

机器学习 · 统计学 2021-10-18 Dhruv Rohatgi , Vasilis Syrgkanis

We propose a kernel-based nonparametric estimator for the causal effect when the cause is corrupted by error. We do so by generalizing estimation in the instrumental variable setting. Despite significant work on regression with measurement…

机器学习 · 计算机科学 2022-06-22 Yuchen Zhu , Limor Gultchin , Arthur Gretton , Matt Kusner , Ricardo Silva

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

We study the problem of nonparametric instrumental variable regression with observed covariates, which we refer to as NPIV-O. Compared with standard nonparametric instrumental variable regression (NPIV), the additional observed covariates…

机器学习 · 统计学 2025-11-25 Zikai Shen , Zonghao Chen , Dimitri Meunier , Ingo Steinwart , Arthur Gretton , Zhu Li

Mendelian randomization (MR) has become a popular approach to study the effect of a modifiable exposure on an outcome by using genetic variants as instrumental variables. A challenge in MR is that each genetic variant explains a relatively…

统计方法学 · 统计学 2020-10-13 Ting Ye , Jun Shao , Hyunseung Kang

Measurement error is ubiquitous in many variables - from blood pressure recordings in physiology to intelligence measures in psychology. Structural equation models (SEMs) account for the process of measurement by explicitly distinguishing…

统计方法学 · 统计学 2023-02-28 Ankur Ankan , Inge Wortel , Kenneth A. Bollen , Johannes Textor

Combining information from multiple samples is often needed in biomedical and economic studies, but the differences between these samples must be appropriately taken into account in the analysis of the combined data. We study estimation for…

统计方法学 · 统计学 2018-08-14 Heng Shu , Zhiqiang Tan

Finding valid instruments is difficult. We propose Validity Set Instrumental Variable (VSIV) estimation, a method for estimating local average treatment effects (LATEs) in heterogeneous causal effect models when the instruments are…

计量经济学 · 经济学 2025-02-11 Zhenting Sun , Kaspar Wüthrich

Generalized additive index models (GAIMs) offer a flexible semiparametric framework for capturing complex data relationships, balancing the interpretability of parametric models with the flexibility of nonparametric approaches. However,…

统计方法学 · 统计学 2026-05-29 Ziyu Peng , Linglingzhi Zhu , Yao Xie

In the last few decades, the study of ordinal data in which the variable of interest is not exactly observed but only known to be in a specific ordinal category has become important. In Psychometrics such variables are analysed under the…

计量经济学 · 经济学 2025-01-22 Bernard M. S. van Praag , J. Peter Hop , William H. Greene

Many applications in mechanical, acoustic, and electronic engineering require estimating complex dynamical models, often represented as additive multi-input multi-output (MIMO) transfer functions with structural constraints. This paper…

系统与控制 · 电气工程与系统科学 2025-05-21 Rodrigo A. González , Maarten van der Hulst , Koen Classens , Tom Oomen

Instrumental variables are a popular study design for the estimation of treatment effects in the presence of unobserved confounders. In the canonical instrumental variables design, the instrument is a binary variable. In many settings,…

统计方法学 · 统计学 2024-10-10 Prabrisha Rakshit , Alexander Levis , Luke Keele

Model-Implied Instrumental Variable Two-Stage Least Squares (MIIV-2SLS) is a limited information, equation-by-equation, non-iterative estimator for latent variable models. Associated with this estimator are equation specific tests of model…

统计方法学 · 统计学 2024-04-17 Teague R. Henry , Zachary F. Fisher , Kenneth A. Bollen

Additive regression models have a long history in multivariate nonparametric regression. They provide a model in which each regression function depends only on a single explanatory variable allowing to obtain estimators at the optimal…

统计方法学 · 统计学 2015-09-16 Graciela Boente , Alejandra Martinez

Traditional instrumental variable (IV) methods often struggle with weak or invalid instruments and rely heavily on external data. We introduce a Synthetic Instrumental Variable (SIV) approach that constructs valid instruments using only…

统计方法学 · 统计学 2025-12-22 Ratbek Dzhumashev , Ainura Tursunalieva

This was a revision of arXiv:1105.2454v1 from 2012. It considers a variation on the STIV estimator where, instead of one conic constraint, there are as many conic constraints as moments (instruments) allowing to use more directly moderate…

统计理论 · 数学 2019-10-17 Eric Gautier , Alexandre B. Tsybakov