Generalized estimation equations method for fixed effects panel interval-valued data models

Chi Liu; Ruiqin Tian; Dengke Xu; Chi Liu; Ruiqin Tian; Dengke Xu

doi:10.3934/era.2025166

Electronic Research Archive

2025, Volume 33, Issue 6: 3733-3755. doi: 10.3934/era.2025166

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Research article

Generalized estimation equations method for fixed effects panel interval-valued data models

1.
School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China
2.
School of Economics, Hangzhou Dianzi University, Hangzhou 310018, China

Received: 24 March 2025 Revised: 13 May 2025 Accepted: 29 May 2025 Published: 16 June 2025

This paper studied panel interval-valued data models with individual fixed effects, in which the correlation within a group was considered and the group average method was used to eliminate the fixed effects. Then, we applied generalized estimation equations (GEEs) to analyze panel interval-valued data models and gave a computational algorithm to obtain the estimators. Some Monte Carlo simulations and real data analysis showed that, in contrast with the least-squares dummy-variable (LSDV) method, the proposed GEEs method has advantages in forecasting performance.
- panel interval-valued data,
- generalized estimation equations,
- the min-max model,
- the center and range model,
- fixed effects
Citation: Chi Liu, Ruiqin Tian, Dengke Xu. Generalized estimation equations method for fixed effects panel interval-valued data models[J]. Electronic Research Archive, 2025, 33(6): 3733-3755. doi: 10.3934/era.2025166

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Abstract

This paper studied panel interval-valued data models with individual fixed effects, in which the correlation within a group was considered and the group average method was used to eliminate the fixed effects. Then, we applied generalized estimation equations (GEEs) to analyze panel interval-valued data models and gave a computational algorithm to obtain the estimators. Some Monte Carlo simulations and real data analysis showed that, in contrast with the least-squares dummy-variable (LSDV) method, the proposed GEEs method has advantages in forecasting performance.

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