Simulation Study of Modified Two-Parameter Liu Estimator (MTPLE) Method to Overcome Multicollinearity in The Poisson Regression Model

This study aims to evaluate the performance of the Modified Two-Parameter Liu Estimator method in dealing with multicollinearity and compare the performance of Maximum Likelihood Estimator, Liu Estimator, and Modified Two-Parameter Liu Estimator. Simulated data was used with n = 30, 50, 75, 150, and 300 in a Poisson regression model (p = 4, 6, 8) with ρ = 0.89, 0.95, and 0.99. The performance is evaluated using the mean square error criterion. The study results showed the superiority of Modified Two-Parameter Liu Estimator over the other estimators as it has the smallest mean square error value.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-02-27
DOI
https://doi.org/10.5281/zenodo.14916370
Primary Topic
Advanced Statistical Methods and Models
Type
article
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article

Simulation Study of Modified Two-Parameter Liu Estimator (MTPLE) Method to Overcome Multicollinearity in The Poisson Regression Model

Zenodo (CERN European Organization for Nuclear Research)
Advanced Statistical Methods and Models
article

Simulation Study of Modified Two-Parameter Liu Estimator (MTPLE) Method to Overcome Multicollinearity in The Poisson Regression Model

article en

Abstract

This study aims to evaluate the performance of the Modified Two-Parameter Liu Estimator method in dealing with multicollinearity and compare the performance of Maximum Likelihood Estimator, Liu Estimator, and Modified Two-Parameter Liu Estimator. Simulated data was used with n = 30, 50, 75, 150, and 300 in a Poisson regression model (p = 4, 6, 8) with ρ = 0.89, 0.95, and 0.99. The performance is evaluated using the mean square error criterion. The study results showed the superiority of Modified Two-Parameter Liu Estimator over the other estimators as it has the smallest mean square error value.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 59%
Advanced Statistical Methods and Models
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Simulation Study of Modified Two-Parameter Liu Estimator (MTPLE) Method to Overcome Multicollinearity in The Poisson Regression Model · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS