- Necmettin Erbakan Üniversitesi Fen ve Mühendislik Bilimleri Dergisi
- Cilt: 5 Sayı: 2
- Performance of A New Bias Corrected Estimator in Beta Regression Model: A Monte Carlo Study
Performance of A New Bias Corrected Estimator in Beta Regression Model: A Monte Carlo Study
Authors : Yasin Asar
Pages : 75-87
Doi:10.47112/neufmbd.2023.11
View : 100 | Download : 94
Publication Date : 2023-12-31
Article Type : Research
Abstract :The primary approach for obtaining regression parameters in the beta regression model is the utilization of the maximum likelihood estimation technique. However, it is acknowledged that multicollinearity has a detrimental effect on the variance of the maximum likelihood estimator in the beta regression model, namely, the variance of the maximum likelihood estimator is inflated. To address this issue, a novel bias-adjusted estimator is introduced to tackle the problem of multicollinearity. The effectiveness of these new estimator is assessed through a numerical investigation using a Monte Carlo simulation experiment. The results indicate that the proposed estimators yield substantial improvements compared to other competing estimators in terms of both the mean squared error and squared bias values.Keywords : Beta regresyon, Çoklu bağlantı, Yanı düzeltilmiş tahmin edici, Maksimum olabilirlik