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The problem of covariance estimation for replicated surface-valued processes is examined from the functional data analysis perspective. Considerations of statistical and computational efficiency often compel the use of separability of the…

Methodology · Statistics 2021-10-25 Tomas Masak , Victor M. Panaretos

In this paper we study the least squares (LS) estimator in a linear panel regression model with unknown number of factors appearing as interactive fixed effects. Assuming that the number of factors used in estimation is larger than the true…

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

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

In this article, we propose a new nonparametric data analysis tool, which we call nonparametric modal regression, to investigate the relationship among interested variables based on estimating the mode of the conditional density of a…

Methodology · Statistics 2016-02-23 Weixin Yao , Sijia Xiang

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

Many collective systems exist in nature far from equilibrium, ranging from cellular sheets up to flocks of birds. These systems reflect a form of active matter, whereby individual material components have internal energy. Under specific…

Soft Condensed Matter · Physics 2023-04-17 Namid R. Stillman , Silke Henkes , Roberto Mayor , Gilles Louppe

We establish the convergence rates and asymptotic distributions of the common break change-point estimators, obtained by least squares and maximum likelihood in panel data models and compare their asymptotic variances. Our model assumptions…

Statistics Theory · Mathematics 2017-08-22 Monika Bhattacharjee , Moulinath Banerjee , George Michailidis

We propose new ensemble models for multivariate functional data classification as combinations of semi-metric-based weak learners. Our models extend current semi-metric-type methods from the univariate to the multivariate case, propose new…

We present large sample results for partitioning-based least squares nonparametric regression, a popular method for approximating conditional expectation functions in statistics, econometrics, and machine learning. First, we obtain a…

Statistics Theory · Mathematics 2020-07-20 Matias D. Cattaneo , Max H. Farrell , Yingjie Feng

Panel data of our interest consist of a moderate or relatively large number of panels, while the panels contain a small number of observations. This paper establishes testing procedures to detect a possible common change in means of the…

Statistics Theory · Mathematics 2016-08-07 Barbora Peštová , Michal Pešta

We propose employing a high-dimensional generalized method of moments (GMM) estimator, regularized for dimension reduction and subsequently debiased to correct for shrinkage bias (referred to as a debiased-regularized estimator), for…

Econometrics · Economics 2025-07-03 Victor Chernozhukov , Chen Huang , Weining Wang

We consider panel data models where coefficients change smoothly over time and follow a latent group structure, being homogeneous within but heterogeneous across groups. To jointly estimate the group membership and group-specific…

Econometrics · Economics 2025-11-19 Paul Haimerl , Stephan Smeekes , Ines Wilms

In this work we propose a novel approach for modeling spatio-temporal data characterized by group structures. In particular, we extend classical mixed effect regression models by introducing a space-time nonparametric component, regularized…

Methodology · Statistics 2025-11-18 Marco F. De Sanctis , Eleonora Arnone , Francesca Ieva , Laura M. Sangalli

In semivarying coefficient models for longitudinal/clustered data, usually of primary interest is usually the parametric component which involves unknown constant coefficients. First, we study semiparametric efficiency bound for estimation…

Methodology · Statistics 2015-09-15 Ming-Yen Cheng , Toshio Honda , Jialiang Li

Panel count data describes aggregated counts of recurrent events observed at discrete time points. To understand dynamics of health behaviors, the field of quantitative behavioral research has evolved to increasingly rely upon panel count…

A method is provided for approximating random slow manifolds of a class of slow-fast stochastic dynamical systems. Thus approximate, low dimensional, reduced slow systems are obtained analytically in the case of sufficiently large time…

Dynamical Systems · Mathematics 2013-03-12 Jian Ren , Jinqiao Duan , Christopher K. R. T. Jones

We consider a class of spatio-temporal models which extend popular econometric spatial autoregressive panel data models by allowing the scalar coefficients for each location (or panel) different from each other. To overcome the innate…

Methodology · Statistics 2016-05-17 Baojun Dou , Maria Lucia Parrella , Qiwei Yao

New procedures for detecting a change in the cross-sectional mean of panel data are proposed. The procedures rely on estimating nuisance parameters using certain cross-sectional means across panels using a weighted least squares regression.…

Methodology · Statistics 2026-05-07 Charl Pretorius , Heinrich Roodt

We study partially linear models when the outcome of interest and some of the covariates are observed in two different datasets that cannot be linked. This type of data combination problem arises very frequently in empirical microeconomics.…

Econometrics · Economics 2023-08-23 Xavier D'Haultfœuille , Christophe Gaillac , Arnaud Maurel

This paper analyzes how interaction effects can be consistently estimated under economically plausible assumptions in linear panel models with a fixed $T$-dimension. We advocate for a \emph{correlated interaction term estimator} (CITE) and…

Econometrics · Economics 2025-03-18 Chris Muris , Konstantin Wacker