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In this paper, we clarify the relations between the existing sets of regularity conditions for convergence rates of nonparametric indirect regression (NPIR) and nonparametric instrumental variables (NPIV) regression models. We establish…

Statistics Theory · Mathematics 2007-09-14 Xiaohong Chen , Markus Reiss

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

This paper makes several important contributions to the literature about nonparametric instrumental variables (NPIV) estimation and inference on a structural function $h_0$ and its functionals. First, we derive sup-norm convergence rates…

Methodology · Statistics 2022-06-06 Xiaohong Chen , Timothy M. Christensen

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

Many treatment variables used in empirical applications nest multiple unobserved versions of a treatment. I show that instrumental variable (IV) estimands for the effect of a composite treatment are IV-specific weighted averages of effects…

General Economics · Economics 2022-11-24 Clint Harris

We prove ratio-consistency of the jackknife variance estimator, and certain variants, for a broad class of generalized U-statistics whose variance is asymptotically dominated by their H\'ajek projection, with the classical fixed-order case…

Statistics Theory · Mathematics 2025-09-17 Jakob R. Juergens

We study the problem of estimating the average treatment effect (ATE) in adaptive experiments where treatment can only be encouraged -- rather than directly assigned -- via a binary instrumental variable. Building on semiparametric…

Methodology · Statistics 2025-10-30 Miruna Oprescu , Brian M Cho , Nathan Kallus

We are in the middle of a remarkable rise in the use and capability of artificial intelligence. Much of this growth has been fueled by the success of deep learning architectures: models that map from observables to outputs via multiple…

Applications · Statistics 2017-01-02 Jason Hartford , Greg Lewis , Kevin Leyton-Brown , Matt Taddy

This paper develops a first-stage linear regression representation for the instrumental variables (IV) quantile regression (QR) model. The quantile first-stage is analogous to the least squares case, i.e., a linear projection of the…

Econometrics · Economics 2022-02-22 Javier Alejo , Antonio F. Galvao , Gabriel Montes-Rojas

In a nonparametric instrumental regression model, we strengthen the conventional moment independence assumption towards full statistical independence between instrument and error term. This allows us to prove identification results and…

Econometrics · Economics 2019-06-13 Isaac Loh

We investigate the problem of compound estimation of normal means while accounting for the presence of side information. Leveraging the empirical Bayes framework, we develop a nonparametric integrative Tweedie (NIT) approach that…

Methodology · Statistics 2025-02-17 Jiajun Luo , Trambak Banerjee , Gourab Mukherjee , Wenguang Sun

Panel local projection (LP) with fixed-effects (FE) is widely adopted for evaluating the economic consequences of financial crises across countries. This paper highlights a fundamental methodological issue: the presence of the Nickell bias…

Econometrics · Economics 2026-01-08 Ziwei Mei , Liugang Sheng , Zhentao Shi

Inferring the parameters of a stochastic model based on experimental observations is central to the scientific method. A particularly challenging setting is when the model is strongly indeterminate, i.e. when distinct sets of parameters…

Machine Learning · Statistics 2021-11-10 Pedro L. C. Rodrigues , Thomas Moreau , Gilles Louppe , Alexandre Gramfort

Individualized treatment rules (ITRs) are considered a promising recipe to deliver better policy interventions. One key ingredient in optimal ITR estimation problems is to estimate the average treatment effect conditional on a subject's…

Methodology · Statistics 2021-03-16 Hongming Pu , Bo Zhang

A major challenge in instrumental variables (IV) analysis is to find instruments that are valid, or have no direct effect on the outcome and are ignorable. Typically one is unsure whether all of the putative IVs are in fact valid. We…

Statistics Theory · Mathematics 2017-08-10 Zijian Guo , Hyunseung Kang , T. Tony Cai , Dylan S. Small

In recent years, the alignment between artificial neural network (ANN) embeddings and blood oxygenation level dependent (BOLD) responses in functional magnetic resonance imaging (fMRI) via neural encoding models has significantly advanced…

Neurons and Cognition · Quantitative Biology 2025-12-30 Xiaohui Gao , Haoran Yang , Yue Cheng , Mengfei Zuo , Yiheng Liu , Peiyang Li , Xintao Hu

This letter proposes a new method for joint state and parameter estimation in uncertain dynamical systems. We exploit the partial errors-in-variables (PEIV) principle and formulate a regression problem in the sense of weighted total least…

Signal Processing · Electrical Eng. & Systems 2024-07-03 Peng Liu , Kailai Li , Gustaf Hendeby , Fredrik Gustafsson

Spatial two-component mixture models offer a robust framework for analyzing spatially correlated data with zero inflation. To circumvent potential biases introduced by assuming a specific distribution for the response variables, we employ a…

Methodology · Statistics 2025-09-17 Chung-Wei Shen , Bu-Ren Hsu , Chia-Ming Hsu , Chun-Shu Chen

Instrumental variable methods are widely used to address unmeasured confounding, yet much of the existing literature has focused on the binary instrument setting. Extensions to continuous instruments often impose strong parametric…

Methodology · Statistics 2025-08-12 Zhenghao Zeng , Alexander W. Levis , JungHo Lee , Edward H. Kennedy , Luke Keele

This article develops a significance test for the Difference-in-Differences (DiD) estimator based on dual-margin randomization, in which both the treatment and time indicators are independently permuted to generate an empirical null…

Econometrics · Economics 2026-05-13 Stanisław Marek Sergiusz Halkiewicz , Andrzej Kałuża