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Linear mixed-effects models are widely used in analyzing clustered or repeated measures data. We propose a quasi-likelihood approach for estimation and inference of the unknown parameters in linear mixed-effects models with high-dimensional…

统计方法学 · 统计学 2021-03-10 Sai Li , Tony T. Cai , Hongzhe Li

We develop a general estimation and inference procedure for the common parameters in linear panel data regression models with nonparametric two-way specification of unobserved heterogeneity. The procedure takes as input any first-step…

计量经济学 · 经济学 2026-05-08 Hugo Freeman , Dennis Kristensen

This paper considers fixed effects estimation and inference in linear and nonlinear panel data models with random coefficients and endogenous regressors. The quantities of interest -- means, variances, and other moments of the random…

统计方法学 · 统计学 2018-01-16 Ivan Fernandez-Val , Joonhwah Lee

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…

计量经济学 · 经济学 2019-11-21 Ruiqi Liu , Ben Boukai , Zuofeng Shang

This paper explores the estimation of a panel data model with cross-sectional interaction that is flexible both in its approach to specifying the network of connections between cross-sectional units, and in controlling for unobserved…

计量经济学 · 经济学 2021-11-23 Ayden Higgins , Federico Martellosio

Panel data analysis is an important topic in statistics and econometrics. Traditionally, in panel data analysis, all individuals are assumed to share the same unknown parameters, e.g. the same coefficients of covariates when the linear…

统计理论 · 数学 2017-06-09 Heng Lian , Xinghao Qiao , Wenyang Zhang

This paper introduces a new fixed effects estimator for linear panel data models with clustered time patterns of unobserved heterogeneity. The method avoids non-convex and combinatorial optimization by combining a preliminary consistent…

计量经济学 · 经济学 2025-04-21 Martin Mugnier

This paper considers panel data models where the conditional quantiles of the dependent variables are additively separable as unknown functions of the regressors and the individual effects. We propose two estimators of the quantile partial…

计量经济学 · 经济学 2020-09-30 Liang Chen

I propose a quantile-based nonadditive fixed effects panel model to study heterogeneous causal effects. Similar to standard fixed effects (FE) model, my model allows arbitrary dependence between regressors and unobserved heterogeneity, but…

计量经济学 · 经济学 2025-12-11 Xin Liu

In this paper, we propose a simplex regression model in which both the mean and the dispersion parameters are related to covariates by nonlinear predictors. We provide closed-form expressions for the score function, for Fisher's information…

统计理论 · 数学 2018-05-29 Patrícia Espinheira , Alisson de Oliveira Silva

This paper considers fixed effects (FE) estimation for linear panel data models under possible model misspecification when both the number of individuals, $n$, and the number of time periods, $T$, are large. We first clarify the probability…

统计理论 · 数学 2014-03-12 Antonio F. Galvao , Kengo Kato

Nonlinear panel data models with fixed individual effects provide an important set of tools for describing microeconometric data. In a large class of such models (including probit, proportional hazard and quantile regression to name just a…

计量经济学 · 经济学 2020-02-07 Antonio F. Galvao , Jiaying Gu , Stanislav Volgushev

Seemingly unrelated linear regression models are introduced in which the distribution of the errors is a finite mixture of Gaussian components. Identifiability conditions are provided. The score vector and the Hessian matrix are derived.…

统计方法学 · 统计学 2014-03-18 Giuliano Galimberti , Elena Scardovi , Gabriele Soffritti

This paper considers the maximum likelihood estimation of panel data models with interactive effects. Motivated by applications in economics and other social sciences, a notable feature of the model is that the explanatory variables are…

统计理论 · 数学 2014-02-27 Jushan Bai , Kunpeng Li

Concerning bivariate least squares linear regression, the classical results obtained for extreme structural models in earlier attempts are reviewed using a new formalism in terms of deviation (matrix) traces which, for homoscedastic data,…

天体物理仪器与方法 · 物理学 2017-11-17 R. Caimmi

Many structural econometric models include latent variables on whose probability distributions one may wish to place minimal restrictions. Leading examples in panel data models are individual-specific variables sometimes treated as "fixed…

计量经济学 · 经济学 2024-01-15 Andrew Chesher , Adam M. Rosen , Yuanqi Zhang

The coefficient of determination is well defined for linear models and its extension is long wanted for mixed-effects models. We revisit its extension to define measures for proportions of variation explained by the whole model, fixed…

统计方法学 · 统计学 2022-05-04 Dabao Zhang

In this paper, we use a probabilistic model to estimate the number of uncorrelated features in a large dataset. Our model allows for both pairwise feature correlation (collinearity) and interdependency of multiple features…

机器学习 · 计算机科学 2023-09-26 Ghurumuruhan Ganesan

We provide new results showing identification of a large class of fixed-T panel models, where the response variable is an unknown, weakly monotone, time-varying transformation of a latent linear index of fixed effects, regressors, and an…

计量经济学 · 经济学 2021-04-07 Irene Botosaru , Chris Muris , Krishna Pendakur

The Seemingly Unrelated Regressions (SUR) model is a wide used estimation procedure in econometrics, insurance and finance, where very often, the regression model contains more than one equation. Unknown parameters, regression coefficients…

统计方法学 · 统计学 2021-07-05 Giovanni Saraceno , Fatemah Alqallaf , Claudio Agostinelli