Dergiler / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 3

Two parameter Ridge estimator in the inverse Gaussian regression model

Sayfa
895–910
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

As a result of the simulation study and real data example, the newly proposed estimator is superior to the other estimators used in this study.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:It is well known that multicollinearity, which occurs among the explanatory variables, has adverse effects on the maximum likelihood estimator in the inverse Gaussian regression model.
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Temel Bulgular & Veri:We conduct a Monte Carlo simulation and provide a real data example to illustrate the performance of the proposed estimator over the maximum likelihood and Ridge estimators.
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Sonuç & Katkı:As a result of the simulation study and real data example, the newly proposed estimator is superior to the other estimators used in this study.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Inverse Gaussian Regression · Biased estimator · Two parameter Ridge estimator

Abstract

It is well known that multicollinearity, which occurs among the explanatory variables, has adverse effects on the maximum likelihood estimator in the inverse Gaussian regression model. Biased estimators are proposed to cope with the multicollinearity problem in the inverse Gaussian regression model. The main interest of this article is to introduce a new biased estimator. Also, we compare newly proposed estimator with the other estimators given in the literature. We conduct a Monte Carlo simulation and provide a real data example to illustrate the performance of the proposed estimator over the maximum likelihood and Ridge estimators. As a result of the simulation study and real data example, the newly proposed estimator is superior to the other estimators used in this study.

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Bu Makaleye Atıf Yap

BULUT, Y. M., IŞILAR, M. (2022). Two parameter Ridge estimator in the inverse Gaussian regression model. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 3, 895–910. https://ajindex.com/articles/529999

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