Modified ridge regression parameters: A comparative Monte Carlo study

Yasin Asar; Adnan Karaibrahimoğlu; Aşır Genç

EN

Modified ridge regression parameters: A comparative Monte Carlo study

Abstract

In multiple regression analysis, the independent variables should be uncorrelated within each other. If they are highly intercorrelated, this serious problem is called multicollinearity. There are several methods to get rid of this problem and one of the most famous one is the ridge regression. In this paper, we will propose some modified ridge parameters. We will compare our estimators with some estimators proposed earlier according to mean squared error (MSE) criterion. All results are calculated by a Monte Carlo simulation. According to simulation study, our estimators perform better than the others in most of the situations in the sense of MSE.

Keywords

Multicollinearity,multiple linear regression,ridge regression,ridge estimator,Monte Carlo Simulation

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Yasin Asar ^* This is me
Türkiye

Adnan Karaibrahimoğlu This is me
Türkiye

Aşır Genç This is me
Türkiye

Publication Date

October 1, 2014

Submission Date

March 27, 2013

Acceptance Date

December 16, 2013

Published in Issue

Year 2014 Volume: 43 Number: 5

IZ

https://izlik.org/JA42LR73DJ

Cite

RIS / Bibtex

APA

Asar, Y., Karaibrahimoğlu, A., & Genç, A. (2014). Modified ridge regression parameters: A comparative Monte Carlo study. Hacettepe Journal of Mathematics and Statistics, 43(5), 827-841. https://izlik.org/JA42LR73DJ

AMA

1.Asar Y, Karaibrahimoğlu A, Genç A. Modified ridge regression parameters: A comparative Monte Carlo study. Hacettepe Journal of Mathematics and Statistics. 2014;43(5):827-841. https://izlik.org/JA42LR73DJ

Chicago

Asar, Yasin, Adnan Karaibrahimoğlu, and Aşır Genç. 2014. “Modified Ridge Regression Parameters: A Comparative Monte Carlo Study”. Hacettepe Journal of Mathematics and Statistics 43 (5): 827-41. https://izlik.org/JA42LR73DJ.

EndNote

Asar Y, Karaibrahimoğlu A, Genç A (October 1, 2014) Modified ridge regression parameters: A comparative Monte Carlo study. Hacettepe Journal of Mathematics and Statistics 43 5 827–841.

IEEE

[1]Y. Asar, A. Karaibrahimoğlu, and A. Genç, “Modified ridge regression parameters: A comparative Monte Carlo study”, Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 5, pp. 827–841, Oct. 2014, [Online]. Available: https://izlik.org/JA42LR73DJ

ISNAD

Asar, Yasin - Karaibrahimoğlu, Adnan - Genç, Aşır. “Modified Ridge Regression Parameters: A Comparative Monte Carlo Study”. Hacettepe Journal of Mathematics and Statistics 43/5 (October 1, 2014): 827-841. https://izlik.org/JA42LR73DJ.

JAMA

1.Asar Y, Karaibrahimoğlu A, Genç A. Modified ridge regression parameters: A comparative Monte Carlo study. Hacettepe Journal of Mathematics and Statistics. 2014;43:827–841.

MLA

Asar, Yasin, et al. “Modified Ridge Regression Parameters: A Comparative Monte Carlo Study”. Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 5, Oct. 2014, pp. 827-41, https://izlik.org/JA42LR73DJ.

Vancouver

1.Yasin Asar, Adnan Karaibrahimoğlu, Aşır Genç. Modified ridge regression parameters: A comparative Monte Carlo study. Hacettepe Journal of Mathematics and Statistics [Internet]. 2014 Oct. 1;43(5):827-41. Available from: https://izlik.org/JA42LR73DJ