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The fixed-effects model estimates the regressor effects on the mean of the response, which is inadequate to summarize the variable relationships in the presence of heteroscedasticity. In this paper, we adapt the asymmetric least squares…

Econometrics · Economics 2021-08-11 Amadou Barry , Karim Oualkacha , Arthur Charpentier

Generalized estimating equation (GEE) is widely adopted for regression modeling for longitudinal data, taking account of potential correlations within the same subjects. Although the standard GEE assumes common regression coefficients among…

Methodology · Statistics 2022-07-11 Tsubasa Ito , Shonosuke Sugasawa

Modeling correlated or highly stratified multiple-response data becomes a common data analysis task due to modern data monitoring facilities and methods. Generalized estimating equations (GEE) is one of the popular statistical methods for…

Methodology · Statistics 2019-03-05 Zimu Chen , Zhanfeng Wang , Yuan-chin Ivan Chang

In this paper, we study estimation of nonlinear models with cross sectional data using two-step generalized estimating equations (GEE) in the quasi-maximum likelihood estimation (QMLE) framework. In the interest of improving efficiency, we…

Econometrics · Economics 2018-10-16 Cuicui Lu , Weining Wang , Jeffrey M. Wooldridge

Regression classes modeling more than the mean of the response have found a lot of attention in the last years. Expectile regression is a special and computationally convenient case of this family of models. Expectiles offer a quantile-like…

Methodology · Statistics 2013-12-19 Elisabeth Waldmann , Fabian Sobotka , Thomas Kneib

Generalized estimating equations (GEE; Liang & Zeger 1986) for general vector regression settings are examined. When the response vectors are of mixed type (e.g. continuous-binary response pairs), the GEE approach is a semiparametric…

Methodology · Statistics 2020-10-08 Alan Huang

In this article, we study a partially linear single-index model for longitudinal data under a general framework which includes both the sparse and dense longitudinal data cases. A semiparametric estimation method based on a combination of…

Statistics Theory · Mathematics 2015-07-31 Jia Chen , Degui Li , Hua Liang , Suojin Wang

Generalized estimating equations (GEE) is one of the most commonly used methods for marginal regression analysis of longitudinal data, especially with discrete outcomes. The GEE method models the association among the responses of a subject…

Methodology · Statistics 2018-03-20 Gul Inan , Mahbub A. H. M. Latif , John Preisser

Regression models applied to network data where node attributes are the dependent variables poses a methodological challenge. As has been well studied, naive regression neither properly accounts for community structure, nor does it account…

Methodology · Statistics 2024-02-16 Riddhi Pratim Ghosh , Jukka-Pekka Onnela , Ian Barnett

We consider least squares estimation in a general nonparametric regression model. The rate of convergence of the least squares estimator (LSE) for the unknown regression function is well studied when the errors are sub-Gaussian. We find…

Statistics Theory · Mathematics 2021-04-12 Arun K. Kuchibhotla , Rohit K. Patra

Due to the nature of pure-tone audiometry test, hearing loss data often has a complicated correlation structure. Generalized estimating equation (GEE) is commonly used to investigate the association between exposures and hearing loss,…

Methodology · Statistics 2025-08-13 Zhuoran Wei , Hanbing Zhu , Sharon Curhan , Gary Curhan , Molin Wang

Generalized Estimation Equations (GEE) are a well-known method for the analysis of non-Gaussian longitudinal data. This method has computational simplicity and marginal parameter interpretation. However, in the presence of missing data, it…

Methodology · Statistics 2015-06-16 José Luiz P. da Silva , Enrico A. Colosimo , Fábio N. Demarqui

In an increasing number of neuroimaging studies, brain images, which are in the form of multidimensional arrays (tensors), have been collected on multiple subjects at multiple time points. Of scientific interest is to analyze such massive…

Expectile regression is a useful tool for exploring the relation between the response and the explanatory variables beyond the conditional mean. This article develops a continuous threshold expectile regression for modeling data in which…

Methodology · Statistics 2016-11-09 Feipeng Zhang , Qunhua Li

Generalized Advantage Estimation (GAE) has been used to mitigate the computational complexity of reinforcement learning (RL) by employing an exponentially weighted estimation of the advantage function to reduce the variance in policy…

Machine Learning · Computer Science 2025-07-24 Shahil Shaik , Jonathon M. Smereka , Yue Wang

Generalized estimating equations (GEE) are of great importance in analyzing clustered data without full specification of multivariate distributions. A recent approach jointly models the mean, variance, and correlation coefficients of…

Methodology · Statistics 2025-01-13 Zhenyu Xu , Jason P. Fine , Wenling Song , Jun Yan

Missing data is a common challenge in biomedical research. This fact, along with growing dataset volumes of the modern era, make the issue of computationally-efficient analysis with missing data of crucial practical importance. A general…

Methodology · Statistics 2022-04-22 Giorgos Bakoyannis , Philani B. Mpofu , Andrea Broyles , Brian B. Dixon

In this study, we propose a family of correlation structures for crossover designs with repeated measures for both, Gaussian and non-Gaussian responses using generalized estimating equations (GEE). The structure considers two matrices: one…

Methodology · Statistics 2023-01-11 N. A. Cruz , O. O. Melo , C. A. Martinez

Design and analysis of cluster randomized trials must take into account correlation among outcomes from the same clusters. When applying standard generalized estimating equations (GEE), the first-order (e.g. treatment) effects can be…

Methodology · Statistics 2018-04-18 Tom Chen , Eric Tchetgen Tchetgen , Rui Wang

This paper introduces a novel kernel density estimator (KDE) based on the generalised exponential (GE) distribution, designed specifically for positive continuous data. The proposed GE KDE offers a mathematically tractable form that avoids…

Methodology · Statistics 2026-02-18 Laura M. Craig , Wagner Barreto-Souza
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