Acta Infologica

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DOI :10.26650/acin.1558583   IUP :10.26650/acin.1558583    Tam Metin (PDF)

A New Kibria-Lukman-Type Estimator for Poisson Regression Models

Cemal Çiçek, Kadri Ulaş Akay

One of the most important models for the analysis of count data is the Poisson Regression Model (PRM). The parameter estimates of the PRM are obtained by the Maximum Likelihood Estimator (MLE). However, MLE is adversely affected in the presence of multicollinearity, which is known as the approximately linear relationship between the explanatory variables. Many shrinkage estimators have been proposed to reduce the effects of multicollinearity in PRMs. As an alternative to other biased estimators that are already in use in PRMs, we presented a novel estimator in this paper that is based on the Kibria-Lukman estimator. The superiority of the proposed new biased estimator over existing biased estimators is given by the asymptotic matrix mean square error. Furthermore, two separate Monte Carlo simulation studies are conducted to investigate the performance of the proposed biased estimators. Finally, real data is used to examine the superiority of the proposed estimator. 

Anahtar Kelimeler: Mean squared error, multicollinearity, poisson liu estimator, poisson regression, poisson ridge estimator

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DIŞA AKTAR



APA

Çiçek, C., & Akay, K.U. (2024). A New Kibria-Lukman-Type Estimator for Poisson Regression Models. Acta Infologica, 8(2), 199-212. https://doi.org/10.26650/acin.1558583


AMA

Çiçek C, Akay K U. A New Kibria-Lukman-Type Estimator for Poisson Regression Models. Acta Infologica. 2024;8(2):199-212. https://doi.org/10.26650/acin.1558583


ABNT

Çiçek, C.; Akay, K.U. A New Kibria-Lukman-Type Estimator for Poisson Regression Models. Acta Infologica, [Publisher Location], v. 8, n. 2, p. 199-212, 2024.


Chicago: Author-Date Style

Çiçek, Cemal, and Kadri Ulaş Akay. 2024. “A New Kibria-Lukman-Type Estimator for Poisson Regression Models.” Acta Infologica 8, no. 2: 199-212. https://doi.org/10.26650/acin.1558583


Chicago: Humanities Style

Çiçek, Cemal, and Kadri Ulaş Akay. “A New Kibria-Lukman-Type Estimator for Poisson Regression Models.” Acta Infologica 8, no. 2 (Mar. 2025): 199-212. https://doi.org/10.26650/acin.1558583


Harvard: Australian Style

Çiçek, C & Akay, KU 2024, 'A New Kibria-Lukman-Type Estimator for Poisson Regression Models', Acta Infologica, vol. 8, no. 2, pp. 199-212, viewed 10 Mar. 2025, https://doi.org/10.26650/acin.1558583


Harvard: Author-Date Style

Çiçek, C. and Akay, K.U. (2024) ‘A New Kibria-Lukman-Type Estimator for Poisson Regression Models’, Acta Infologica, 8(2), pp. 199-212. https://doi.org/10.26650/acin.1558583 (10 Mar. 2025).


MLA

Çiçek, Cemal, and Kadri Ulaş Akay. “A New Kibria-Lukman-Type Estimator for Poisson Regression Models.” Acta Infologica, vol. 8, no. 2, 2024, pp. 199-212. [Database Container], https://doi.org/10.26650/acin.1558583


Vancouver

Çiçek C, Akay KU. A New Kibria-Lukman-Type Estimator for Poisson Regression Models. Acta Infologica [Internet]. 10 Mar. 2025 [cited 10 Mar. 2025];8(2):199-212. Available from: https://doi.org/10.26650/acin.1558583 doi: 10.26650/acin.1558583


ISNAD

Çiçek, Cemal - Akay, KadriUlaş. “A New Kibria-Lukman-Type Estimator for Poisson Regression Models”. Acta Infologica 8/2 (Mar. 2025): 199-212. https://doi.org/10.26650/acin.1558583



ZAMAN ÇİZELGESİ


Gönderim30.09.2024
Kabul09.12.2024
Çevrimiçi Yayınlanma24.12.2024

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