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The standard quantile regression model assumes a linear relationship at the quantile of interest and that all variables are observed. We relax these assumptions by considering a partial linear model while allowing for missing linear…

Methodology · Statistics 2016-06-07 Ben Sherwood

There has been a recent surge in research on causal panel data models, leading to many new estimators for average causal effects. However, researchers have paid less attention to quantifying the precision of these estimators. This paper…

Econometrics · Economics 2025-11-25 Alexander Almeida , Susan Athey , Guido Imbens , Eva Lestant , Alexia Olaizola

This paper concerns the estimation of linear panel data models with endogenous regressors and a latent group structure in the coefficients. We consider instrumental variables estimation of the group-specific coefficient vector. We show that…

Econometrics · Economics 2024-05-15 Junho Choi , Ryo Okui

In panel data we observe a usually high number N of individuals over a time period T. Even if T is large one often assumes stability of the model over time. We propose a nonparametric and robust test for a change in location and derive its…

Statistics Theory · Mathematics 2017-03-22 Alexander Dürre , Roland Fried

The paper discusses identification conditions, representations and relations of generalized least squares estimators of regression parameters in multivariate linear regression models such as seemingly unrelated and fixed effect panel…

Statistics Theory · Mathematics 2020-11-23 Harry Haupt

Principal component regression (PCR) is a popular technique for fixed-design error-in-variables regression, a generalization of the linear regression setting in which the observed covariates are corrupted with random noise. We provide the…

Machine Learning · Computer Science 2024-08-06 Anish Agarwal , Keegan Harris , Justin Whitehouse , Zhiwei Steven Wu

This paper advances a variable screening approach to enhance conditional quantile forecasts using high-dimensional predictors. We have refined and augmented the quantile partial correlation (QPC)-based variable screening proposed by Ma et…

Econometrics · Economics 2024-10-22 Hongqi Chen , Ji Hyung Lee

Statistical techniques used in air pollution modelling usually lack the possibility to understand which predictors affect air pollution in which functional form; and are not able to regress on exceedances over certain thresholds imposed by…

Methodology · Statistics 2021-05-25 Nadja Klein , Jorge Mateu

Linear regressions with period and group fixed effects are widely used to estimate treatment effects. We show that they estimate weighted sums of the average treatment effects (ATE) in each group and period, with weights that may be…

Econometrics · Economics 2023-04-18 Clément de Chaisemartin , Xavier D'Haultfœuille

Regression analysis is commonly conducted in survey sampling. However, existing methods fail when the relationships vary across different areas or domains. In this paper, we propose a unified framework to study the group-wise covariate…

Methodology · Statistics 2024-09-25 Mingjun Gang , Xin Wang , Zhonglei Wang , Wei Zhong

This paper studies estimation in functional linear quantile regression in which the dependent variable is scalar while the covariate is a function, and the conditional quantile for each fixed quantile index is modeled as a linear functional…

Statistics Theory · Mathematics 2013-02-28 Kengo Kato

We propose a double/debiased machine learning framework to estimate average derivative effects in nonparametric panel models with two-way fixed effects. It extends instrumental variable methods to panel settings, handles continuous…

Methodology · Statistics 2026-05-19 Peikai Wu , Kuan Sun , Zhiguo Xiao

We analyze linear panel regression models with interactive fixed effects and predetermined regressors, for example lagged-dependent variables. The first-order asymptotic theory of the least squares (LS) estimator of the regression…

Econometrics · Economics 2026-05-04 Hyungsik Roger Moon , Martin Weidner

This paper introduces a novel spatial scalar-on-function quantile regression model that extends classical scalar-on-function models to account for spatial dependence and heterogeneous conditional distributions. The proposed model…

Methodology · Statistics 2025-10-21 Muge Mutis , Ufuk Beyaztas , Filiz Karaman , Han Lin Shang

We study the bias of classical quantile regression and instrumental variable quantile regression estimators. While being asymptotically first-order unbiased, these estimators can have non-negligible second-order biases. We derive a…

Econometrics · Economics 2025-12-17 Grigory Franguridi , Bulat Gafarov , Kaspar Wuthrich

Quantile treatment effects (QTEs) can characterize the potentially heterogeneous causal effect of a treatment on different points of the entire outcome distribution. Propensity score (PS) methods are commonly employed for estimating QTEs in…

Methodology · Statistics 2023-08-15 Yahang Liu , Kecheng Wei , Chen Huang , Yongfu Yu , Guoyou Qin

I study linear panel data models with predetermined regressors (such as lagged dependent variables) where coefficients are individual-specific, allowing for heterogeneity in the effects of the regressors on the dependent variable. I show…

Econometrics · Economics 2026-04-27 Wooyong Lee

Due to the dynamic nature of financial markets, maintaining models that produce precise predictions over time is difficult. Often the goal isn't just point prediction but determining uncertainty. Quantifying uncertainty, especially the…

Machine Learning · Statistics 2024-08-06 Mingshu Li , Bhaskarjit Sarmah , Dhruv Desai , Joshua Rosaler , Snigdha Bhagat , Philip Sommer , Dhagash Mehta

This paper deals with variable selection in multivariate linear regression model when the data are observations on a spatial domain being a grid of sites in $\mathbb{Z}^d$ with $d\geqslant 2$. We use a criterion that allows to characterize…

Statistics Theory · Mathematics 2023-05-23 Jean Roland Ebende Penda , Stéphane Bouka , Guy Martial Nkiet

A new statistical procedure, based on a modified spline basis, is proposed to identify the linear components in the panel data model with fixed effects. Under some mild assumptions, the proposed procedure is shown to consistently estimate…

Econometrics · Economics 2019-11-21 Ruiqi Liu , Ben Boukai , Zuofeng Shang