Restricted Liu estimator in generalized linear models: Monte Carlo simulation studies on gamma and Poisson distributed responses

Kurtoğlu, Fikriye; Özkale, M.Revan

doi:10.15672/HJMS.2018.624

Restricted Liu estimator in generalized linear models: Monte Carlo simulation studies on gamma and Poisson distributed responses

Fikriye Kurtoğlu, (Çukurova Üniversitesi, Fen Edebiyat Fakültesi, İstatistik Bölümü, Adana, Türkiye)

Revan ÖZKALE (Çukurova Üniversitesi, Fen Edebiyat Fakültesi, İstatistik Bölümü, Adana, Türkiye)

Hacettepe Journal of Mathematics and Statistics

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Yıl: 2019 Cilt: 48 Sayı: 4 Sayfa Aralığı: 1250 - 1276 Metin Dili: İngilizce DOI: 10.15672/HJMS.2018.624 İndeks Tarihi: 29-07-2022

Restricted Liu estimator in generalized linear models: Monte Carlo simulation studies on gamma and Poisson distributed responses

Öz:

In this study, we introduce iterative restricted Liu estimator to combat multicollinearity in generalized linear models. We also obtain necessary and sufficient conditions for the superiority of the first-order approximated restricted Liu estimator over the first-order approximated maximum likelihood and Liu estimators by the approximated mean squared error criterion. The results are illustrated by conducting simulation studies and numerical examples.

Anahtar Kelime: Multicollinearity Poisson distribution Generalized linear models Restricted Liu estimation Mean squared error Gamma distribution

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	Kurtoğlu F, Özkale M (2019). Restricted Liu estimator in generalized linear models: Monte Carlo simulation studies on gamma and Poisson distributed responses. , 1250 - 1276. 10.15672/HJMS.2018.624
Chicago	Kurtoğlu Fikriye,Özkale M.Revan Restricted Liu estimator in generalized linear models: Monte Carlo simulation studies on gamma and Poisson distributed responses. (2019): 1250 - 1276. 10.15672/HJMS.2018.624
MLA	Kurtoğlu Fikriye,Özkale M.Revan Restricted Liu estimator in generalized linear models: Monte Carlo simulation studies on gamma and Poisson distributed responses. , 2019, ss.1250 - 1276. 10.15672/HJMS.2018.624
AMA	Kurtoğlu F,Özkale M Restricted Liu estimator in generalized linear models: Monte Carlo simulation studies on gamma and Poisson distributed responses. . 2019; 1250 - 1276. 10.15672/HJMS.2018.624
Vancouver	Kurtoğlu F,Özkale M Restricted Liu estimator in generalized linear models: Monte Carlo simulation studies on gamma and Poisson distributed responses. . 2019; 1250 - 1276. 10.15672/HJMS.2018.624
IEEE	Kurtoğlu F,Özkale M "Restricted Liu estimator in generalized linear models: Monte Carlo simulation studies on gamma and Poisson distributed responses." , ss.1250 - 1276, 2019. 10.15672/HJMS.2018.624
ISNAD	Kurtoğlu, Fikriye - Özkale, M.Revan. "Restricted Liu estimator in generalized linear models: Monte Carlo simulation studies on gamma and Poisson distributed responses". (2019), 1250-1276. https://doi.org/10.15672/HJMS.2018.624

APA	Kurtoğlu F, Özkale M (2019). Restricted Liu estimator in generalized linear models: Monte Carlo simulation studies on gamma and Poisson distributed responses. Hacettepe Journal of Mathematics and Statistics, 48(4), 1250 - 1276. 10.15672/HJMS.2018.624
Chicago	Kurtoğlu Fikriye,Özkale M.Revan Restricted Liu estimator in generalized linear models: Monte Carlo simulation studies on gamma and Poisson distributed responses. Hacettepe Journal of Mathematics and Statistics 48, no.4 (2019): 1250 - 1276. 10.15672/HJMS.2018.624
MLA	Kurtoğlu Fikriye,Özkale M.Revan Restricted Liu estimator in generalized linear models: Monte Carlo simulation studies on gamma and Poisson distributed responses. Hacettepe Journal of Mathematics and Statistics, vol.48, no.4, 2019, ss.1250 - 1276. 10.15672/HJMS.2018.624
AMA	Kurtoğlu F,Özkale M Restricted Liu estimator in generalized linear models: Monte Carlo simulation studies on gamma and Poisson distributed responses. Hacettepe Journal of Mathematics and Statistics. 2019; 48(4): 1250 - 1276. 10.15672/HJMS.2018.624
Vancouver	Kurtoğlu F,Özkale M Restricted Liu estimator in generalized linear models: Monte Carlo simulation studies on gamma and Poisson distributed responses. Hacettepe Journal of Mathematics and Statistics. 2019; 48(4): 1250 - 1276. 10.15672/HJMS.2018.624
IEEE	Kurtoğlu F,Özkale M "Restricted Liu estimator in generalized linear models: Monte Carlo simulation studies on gamma and Poisson distributed responses." Hacettepe Journal of Mathematics and Statistics, 48, ss.1250 - 1276, 2019. 10.15672/HJMS.2018.624
ISNAD	Kurtoğlu, Fikriye - Özkale, M.Revan. "Restricted Liu estimator in generalized linear models: Monte Carlo simulation studies on gamma and Poisson distributed responses". Hacettepe Journal of Mathematics and Statistics 48/4 (2019), 1250-1276. https://doi.org/10.15672/HJMS.2018.624