Some Robust Ridge Regression for handling Multicollinearity and Outlier

Authors

  • Adewale Folaranm1 Lukman Ladoke Akintola University of Technology
  • Olatunji Arowolo
  • Kayode Ayinde

Keywords:

Ordinary Least Square Estimator, Ridge Regression Estimator, Robust Regression Estimator, Robust Ridge Regression Estimator.

Abstract

Ridge Regression and Robust Regression Estimators were proposed to deal with the problem of multicollinearity and outlier in a classical linear regression model respectively. This paper proposes a robust ridge regression estimator (RRR) for solving the problem of multicollinearity and outlier in a classical linear regression model simultaneously.

Author Biography

Adewale Folaranm1 Lukman, Ladoke Akintola University of Technology

Statistics, Assistance Lecturer

References

Alkhamisi, M., Khalaf, G. and Shukur, G.

Alkhamisi, M., and Shukur, G.

Askin, G. R., & Montgomery, D. C.

Arslan, O., & Billor, N.

Dielman, T.E.

Dempster, A.P., Schatzoff, M. and Wermuth, N.

Gibbons, D. G.

Gujarati, N. D. Basic Econometrics (4th Ed.). New Delhi: Tata McGraw-Hill, 748, 807, 2003.

Habshah Midi & Marina Zahari.

Hatice, Samkar and Alpu, Ozlem."Ridge Regression Based on Some Robust Estimators."Journal of Modern Applied Statistical Methods: Vol. 9: Iss. 2, Article 17, 2010.

Hoerl, A. E. & Kennard, R.W. " Ridge Regression Biased Estimation for Nonorthognal Problems",Technometrics,Vol.12, 55-67, 1970.

Holland, P. W.

Huber, P.H.1964.

Hussein Yousif Abd. Eledum, Abdalla Ahmed Alkhalifa (2012).

Kibria, B. M. G.

Khalaf, G. and Shukur, G.

Lawless, J.F. and Wang, P.

McDonald, G. C. and Galarneau, D. I.

Maronna, R.A.

Mansson, K., Shukur, G. and Kibria, B. M. G.

Muniz, G. and Kibria, B. M. G.

Pfaffenberger, R. C., & Dielman, T. E.

Rousseeuw P.J., and Yohai,

(Editors.), Robust and Nonlinear Time Series Analysis, Springer-Verlag, New-York, (pp. 256-272), 1984.

Rousseeuw, P.J. and Van Driessen, K.

Silvapulle, M. J.

Simpson, J. R., & Montgomery, D. C.

Walker, E: Influence, collinearity and robust estimation in regression. Unpublished Ph.D. dissertation, Department of Statistics, Virginia Polytechnic Institute, 1984.

Wisnowski, J. W., Simpson, J. R., & Montgomery, D. C.

Yohai, V.J. "High breakdown point and high breakdown-point and high efficiency robust estimates for regression.

Downloads

Published

2014-07-04

How to Cite

Lukman, A. F., Arowolo, O., & Ayinde, K. (2014). Some Robust Ridge Regression for handling Multicollinearity and Outlier. International Journal of Sciences: Basic and Applied Research (IJSBAR), 16(2), 192–202. Retrieved from https://gssrr.org/index.php/JournalOfBasicAndApplied/article/view/2320

Issue

Vol. 16 No. 2 (2014)

Section

Articles

License

Authors who submit papers with this journal agree to the following terms.