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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…

计量经济学 · 经济学 2026-05-04 Hyungsik Roger Moon , Martin Weidner

We consider a static linear panel model with both correlated and uncorrelated random coefficients, where the former can depend arbitrarily on observable regressors while the latter are independent of them. We provide sufficient conditions…

计量经济学 · 经济学 2026-05-21 Irene Botosaru , James L. Powell

This article reviews recent advances in fixed effect estimation of panel data models for long panels, where the number of time periods is relatively large. We focus on semiparametric models with unobserved individual and time effects, where…

计量经济学 · 经济学 2018-03-29 Iván Fernández-Val , Martin Weidner

Traditionally, the least squares regression is mainly concerned with studying the effects of individual predictor variables, but strongly correlated variables generate multicollinearity which makes it difficult to study their effects.…

统计方法学 · 统计学 2022-12-22 Min Tsao

Nonseparable panel models are important in a variety of economic settings, including discrete choice. This paper gives identification and estimation results for nonseparable models under time homogeneity conditions that are like "time is…

统计方法学 · 统计学 2018-01-08 Victor Chernozhukov , Ivan Fernandez-Val , Jinyong Hahn , Whitney Newey

This paper introduces unit-specific heterogeneity in panel data threshold regression. We develop the asymptotic theory for models with heterogeneous thresholds, heterogeneous slope coefficients, and interactive fixed effects. The estimation…

计量经济学 · 经济学 2026-01-27 Marco Barassi , Yiannis Karavias , Chongxian Zhu

This paper focuses on estimating the coefficients and average partial effects of observed regressors in nonlinear panel data models with interactive fixed effects, using the common correlated effects (CCE) framework. The proposed two-step…

计量经济学 · 经济学 2023-04-27 Liang Chen , Minyuan Zhang

We develop a general framework for the identification of counterfactual parameters in a class of nonlinear semiparametric panel models with fixed effects and time effects. Our method applies to models for discrete outcomes (e.g., two-way…

计量经济学 · 经济学 2023-11-07 Irene Botosaru , Chris Muris

It is well known that individual parameters of strongly correlated predictor variables in a linear model cannot be accurately estimated by the least squares regression due to multicollinearity generated by such variables. Surprisingly, an…

统计理论 · 数学 2022-10-04 Min Tsao

We consider identification, inference and validation of linear panel data models when both factors and factor loadings are accounted for by a nonparametric function. This general specification encompasses rather popular models such as the…

计量经济学 · 经济学 2025-06-13 Juan M. Rodriguez-Poo , Alexandra Soberon , Stefan Sperlich

We study linear panel regression models in which the unobserved error term is an unknown smooth function of two-way unobserved fixed effects. In standard additive or interactive fixed effect models the individual specific and time specific…

计量经济学 · 经济学 2022-08-15 Hugo Freeman , Martin Weidner

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…

计量经济学 · 经济学 2026-04-27 Wooyong Lee

The linear regression models are widely used statistical techniques in numerous practical applications. The standard regression model requires several assumptions about the regres- sors and the error term. The regression parameters are…

统计方法学 · 统计学 2016-10-23 P. Vellaisamy

Factor structures or interactive effects are convenient devices to incorporate latent variables in panel data models. We consider fixed effect estimation of nonlinear panel single-index models with factor structures in the unobservables,…

统计方法学 · 统计学 2019-10-16 Mingli Chen , Iván Fernández-Val , Martin Weidner

Panel data models with unobserved heterogeneity in the form of interactive effects standardly assume that the time effects -- or ``common factors'' -- enter linearly. This assumption is restrictive because it concerns an unobserved…

计量经济学 · 经济学 2026-05-29 Christina Maschmann , Joakim Westerlund

Inference for fixed effects estimators is often unreliable due to Nickell- and incidental parameter biases. While these issues are well understood for classical two-dimensional panels, little is known about three-dimensional panel…

计量经济学 · 经济学 2026-05-05 Daniel Czarnowske , Amrei Stammann

We study low-rank matrix regression in settings where matrix-valued predictors and scalar responses are observed across multiple individuals. Rather than assuming a fully homogeneous coefficient matrices across individuals, we accommodate…

统计方法学 · 统计学 2025-10-28 Di Wang , Xiaoyu Zhang , Guodong Li , Wenyang Zhang

This paper revisits the identification and estimation of a class of semiparametric (distribution-free) panel data binary choice models with lagged dependent variables, exogenous covariates, and entity fixed effects. We provide a novel…

计量经济学 · 经济学 2024-08-26 Christopher R. Dobronyi , Fu Ouyang , Thomas Tao Yang

In this paper, we investigate binary response models for heterogeneous panel data with interactive fixed effects by allowing both the cross-sectional dimension and the temporal dimension to diverge. From a practical point of view, the…

计量经济学 · 经济学 2021-11-18 Jiti Gao , Fei Liu , Bin Peng , Yayi Yan

We consider marginal log-linear models for parameterizing distributions on multidimensional contingency tables. These models generalize ordinary log-linear and multivariate logistic models, besides several others. First, we obtain some…

统计理论 · 数学 2019-10-25 S. Ghosh , P. Vellaisamy
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