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Dr. Mohamed Sewalim El-sayed Hamed :: Publications:

Title:
Addressing the Autocorrelation Problem in the Poisson Regression Model: Theory and Numerical Illustrations
Authors: Sultan, M. H., Amri, F., & Hamed, M. S.
Year: 2025
Keywords: Poisson Regression Model ،Autocorrelation Problem, KL Estimator, GLS Estimator, RLE Estimator, LE Estimator.
Journal: Pakistan Journal of Statistics and Operation Research (PJSOR)
Volume: 21
Issue: 1
Pages: 39-50
Publisher: Pakistan Journal of Statistics and Operation Research (PJSOR)
Local/International: International
Paper Link:
Full paper Mohamed Sewalim El-sayed Hamed_Addressing the Autocorrelation Problem in the Poisson Regression.pdf
Supplementary materials Not Available
Abstract:

The Poisson regression model (PRM) is usually applied when the dependent variable is in the form of count data. The purpose of this study is to compare methods of estimation for the Poisson Regression Model's first-order autocorrelation (AR(1)). The Kibria and Lukman Estimator Method (KL), Generalized Least Square Estimator Method (GLS), the Liu Estimator Method (LE), and the Reduction Liu Estimator Method (RLE) were employed. Monte Carlo simulations are used to compare these methods. The data generated follows Poisson Regression Model, however, because of sample size and autocorrelation levels among other things, to create a first-order autocorrelation among random errors. The Mean square Error (MSE) criterion was used for comparison. The methods are also evaluated on actual data, moreover, the findings demonstrated that the KL approach is superior to the other estimation techniques in terms of its performance.

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