Common Correlated Effects Estimation for Dynamic Heterogeneous Panels with Non-Stationary Multi-Factor Error Structures

In this paper, we consider the estimation of a dynamic panel data model with non-stationary multi-factor error structures. We adopted the common correlated effect (CCE) estimation and established the asymptotic properties of the CCE and common correlated effects mean group (CCEMG) estimators, as <...

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Main Authors: Shiyun Cao, Qiankun Zhou
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Econometrics
Subjects:
Online Access:https://www.mdpi.com/2225-1146/10/3/29
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author Shiyun Cao
Qiankun Zhou
author_facet Shiyun Cao
Qiankun Zhou
author_sort Shiyun Cao
collection DOAJ
description In this paper, we consider the estimation of a dynamic panel data model with non-stationary multi-factor error structures. We adopted the common correlated effect (CCE) estimation and established the asymptotic properties of the CCE and common correlated effects mean group (CCEMG) estimators, as <i>N</i> and <i>T</i> tend to infinity. The results show that both the CCE and CCEMG estimators are consistent and the CCEMG estimator is asymptotically normally distributed. The theoretical findings were supported for small samples by an extensive simulation study, showing that the CCE estimators are robust to a wide variety of data generation processes. Empirical findings suggest that the CCE estimation is widely applicable to models with non-stationary factors. The proposed procedure is also illustrated by an empirical application to analyze the U.S. cigar dataset.
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spelling doaj.art-63cc00fdd3a14b87b75f8adfa8296fb52023-11-23T15:54:44ZengMDPI AGEconometrics2225-11462022-08-011032910.3390/econometrics10030029Common Correlated Effects Estimation for Dynamic Heterogeneous Panels with Non-Stationary Multi-Factor Error StructuresShiyun Cao0Qiankun Zhou1School of Science, Guangxi University of Science and Technology, Liuzhou 545006, ChinaDepartment of Economics, Louisiana State University, Baton Rouge, LA 70803, USAIn this paper, we consider the estimation of a dynamic panel data model with non-stationary multi-factor error structures. We adopted the common correlated effect (CCE) estimation and established the asymptotic properties of the CCE and common correlated effects mean group (CCEMG) estimators, as <i>N</i> and <i>T</i> tend to infinity. The results show that both the CCE and CCEMG estimators are consistent and the CCEMG estimator is asymptotically normally distributed. The theoretical findings were supported for small samples by an extensive simulation study, showing that the CCE estimators are robust to a wide variety of data generation processes. Empirical findings suggest that the CCE estimation is widely applicable to models with non-stationary factors. The proposed procedure is also illustrated by an empirical application to analyze the U.S. cigar dataset.https://www.mdpi.com/2225-1146/10/3/29dynamic panel modelscross-sectional dependencenon-stationarycommon factorscommon correlated effects
spellingShingle Shiyun Cao
Qiankun Zhou
Common Correlated Effects Estimation for Dynamic Heterogeneous Panels with Non-Stationary Multi-Factor Error Structures
Econometrics
dynamic panel models
cross-sectional dependence
non-stationary
common factors
common correlated effects
title Common Correlated Effects Estimation for Dynamic Heterogeneous Panels with Non-Stationary Multi-Factor Error Structures
title_full Common Correlated Effects Estimation for Dynamic Heterogeneous Panels with Non-Stationary Multi-Factor Error Structures
title_fullStr Common Correlated Effects Estimation for Dynamic Heterogeneous Panels with Non-Stationary Multi-Factor Error Structures
title_full_unstemmed Common Correlated Effects Estimation for Dynamic Heterogeneous Panels with Non-Stationary Multi-Factor Error Structures
title_short Common Correlated Effects Estimation for Dynamic Heterogeneous Panels with Non-Stationary Multi-Factor Error Structures
title_sort common correlated effects estimation for dynamic heterogeneous panels with non stationary multi factor error structures
topic dynamic panel models
cross-sectional dependence
non-stationary
common factors
common correlated effects
url https://www.mdpi.com/2225-1146/10/3/29
work_keys_str_mv AT shiyuncao commoncorrelatedeffectsestimationfordynamicheterogeneouspanelswithnonstationarymultifactorerrorstructures
AT qiankunzhou commoncorrelatedeffectsestimationfordynamicheterogeneouspanelswithnonstationarymultifactorerrorstructures