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Nonparametric methods play a central role in modern empirical work. While they provide inference procedures that are more robust to parametric misspecification bias, they may be quite sensitive to tuning parameter choices. We study the…

Statistics Theory · Mathematics 2018-07-27 Sebastian Calonico , Matias D. Cattaneo , Max H. Farrell

Nonparametric regression and regression-discontinuity designs suffer from smoothing bias that distorts conventional confidence intervals. Solutions based on robust bias correction (RBC) are now central to the economist's toolbox. In this…

A new bandwidth selection rule that uses different bandwidths for the local linear regression estimators on the left and the right of the cut-off point is proposed for the sharp regression discontinuity estimator of the mean program impact…

Methodology · Statistics 2015-08-10 Yoichi Arai , Hidehiko Ichimura

This paper studies higher-order inference properties of nonparametric local polynomial regression methods under random sampling. We prove Edgeworth expansions for $t$ statistics and coverage error expansions for interval estimators that (i)…

Econometrics · Economics 2021-07-26 Sebastian Calonico , Matias D. Cattaneo , Max H. Farrell

We present a practical guide for the analysis of regression discontinuity (RD) designs in biomedical contexts. We begin by introducing key concepts, assumptions, and estimands within both the continuity-based framework and the local…

Methodology · Statistics 2023-05-17 Matias D. Cattaneo , Luke Keele , Rocio Titiunik

Accurate bandwidth estimation (BWE) is critical for real-time communication (RTC) systems. Traditional heuristic approaches offer limited adaptability under dynamic networks, while online reinforcement learning (RL) suffers from high…

Systems and Control · Electrical Eng. & Systems 2025-09-09 Jian Kai , Tianwei Zhang , Zihan Ling , Yang Cao , Can Shen

We provide an inference procedure for the sharp regression discontinuity design (RDD) under monotonicity, with possibly multiple running variables. Specifically, we consider the case where the true regression function is monotone with…

Econometrics · Economics 2020-12-01 Koohyun Kwon , Soonwoo Kwon

In this paper, we propose and study construction of confidence bands for shape-constrained regression functions when the predictor is multivariate. In particular, we consider the continuous multidimensional white noise model given by $d…

Statistics Theory · Mathematics 2024-01-24 Ashley , Datta , Somabha Mukherjee , Bodhisattva Sen

Spatial autocorrelation in regression models can lead to downward biased standard errors and thus incorrect inference. The most common correction in applied economics is the spatial heteroskedasticity and autocorrelation consistent (HAC)…

Econometrics · Economics 2026-03-05 Alexander Lehner

The increasing popularity of regression discontinuity methods for causal inference in observational studies has led to a proliferation of different estimating strategies, most of which involve first fitting non-parametric regression models…

Methodology · Statistics 2018-06-11 Guido Imbens , Stefan Wager

Kernel-based estimators such as local polynomial estimators in regression discontinuity designs are often evaluated at multiple bandwidths as a form of sensitivity analysis. However, if in the reported results, a researcher selects the…

Applications · Statistics 2018-03-29 Timothy B. Armstrong , Michal Kolesár

The Regression Discontinuity (RD) design is one of the most widely used non-experimental methods for causal inference and program evaluation. Over the last two decades, statistical and econometric methods for RD analysis have expanded and…

Econometrics · Economics 2022-02-25 Matias D. Cattaneo , Rocio Titiunik

The regression discontinuity (RD) design is widely used for program evaluation with observational data. The primary focus of the existing literature has been the estimation of the local average treatment effect at the existing treatment…

Methodology · Statistics 2024-09-05 Yi Zhang , Eli Ben-Michael , Kosuke Imai

This paper introduces a methodology to conduct robust inference in bipartite networks under local misspecification. We focus on a class of dyadic network models with misspecified conditional moment restrictions. The framework of…

Econometrics · Economics 2024-03-21 Luis E. Candelaria , Yichong Zhang

The practical importance of inference with robustness against large bandwidths for causal effects in regression discontinuity and kink designs is widely recognized. Existing robust methods cover many cases, but do not handle uniform…

Methodology · Statistics 2019-02-26 Harold D. Chiang , Yu-Chin Hsu , Yuya Sasaki

This study proposes a mathematical programming-based algorithm for the integrated selection of variable subsets and bandwidth estimation in geographically weighted regression, a local regression method that allows the kernel bandwidth and…

Methodology · Statistics 2025-03-24 Hyunwoo Lee , Young Woong Park

Regression Discontinuity (RD) designs rely on the continuity of potential outcome means at the cutoff, but this assumption often fails when other treatments or policies are implemented at this cutoff. We characterize the bias in sharp and…

Econometrics · Economics 2025-02-25 Dor Leventer , Daniel Nevo

We study a multivariate regression discontinuity design in which treatment is assigned by crossing a boundary in the space of multiple running variables. We document that the existing bandwidth selector is suboptimal for a multivariate…

Econometrics · Economics 2026-01-26 Masayuki Sawada , Takuya Ishihara , Daisuke Kurisu , Yasumasa Matsuda

In this article, we investigate the robust optimal design problem for the prediction of response when the fitted regression models are only approximately specified, and observations might be missing completely at random. The intuitive idea…

Methodology · Statistics 2022-10-19 Rui Hu , Ion Bica , Zhichun Zhai

This study examines the optimal selections of bandwidth and semi-metric for a functional partial linear model. Our proposed method begins by estimating the unknown error density using a kernel density estimator of residuals, where the…

Methodology · Statistics 2020-11-17 Han Lin Shang
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