Robust Estimators of Logistic Regression with Problems Multicollinearity or Outliers Values.

Authors

  • Fadhil Abbul Abbas AL- Aabdi AL Furat AL awast Technical university
  • Rafid Malik Atiyah AL – Shaibani University of Kufa

DOI:

https://doi.org/10.31642/JoKMC/2018/0202010

Keywords:

Logistic Regression Model, Multicollinearity

Abstract

Whenever there is a relationship between the explanatory variables (X_S). This relationship causes multicollinearity which in turn leads to inaccurate and bias estimations of the model parameters. Therefore, this results in high discrepancy that influences the next phase of the statistical inference where (OLS), method loses its features having the lowest variance. Consequently, this paper concerns itself with figuring out methods that can be applied by researchers and those who are interested in this field to overcome this problem using (Ridge) method. Moreover, the paper seeks to solve other problems such as the loss of normal distribution property or abnormalility by means of methodical means including (Ridge) and (Robust Ridge). However this study is applied through simulation experiments aim at producing the data of the model. Based on these experiments and tests, the research has come up with the result that (Robust Ridge) is the best method that might be employed to solve the problem of has both normal and abnormal data for the estimation of the parameters of the Logistic Regression Model.

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References

Arslan, O., & Bill, N. (1996). ''Robust ridge regression estimation based on the GM-estimators''. Journal of Mathematical and Computational Science, 9 (1), 1-9.

Barnet, V. and Lewis, T., "Outliers in Statistical Data" John wiley & Sons, 3rd edition, 1944 http://en.wikipedia.org/wiki/outlier

Bianco, A. And Yohai, V. J. (1996), "Robust Estimation In The Logistic Regression Model , Robust Statistics" , Data Analysis And Computer Intensive Methods, Proceedings Of The Work Shop In Honor Of Peter J. Huber, H Rieder (Ed.),Lecture Notes Statistics 109 ,17 -34 , New York: Springer. DOI: https://doi.org/10.1007/978-1-4612-2380-1_2

Banks , J. Carson , B. Nelson , D. Nicol" Discrete Event System Simulation" prentice Hall . p.3 ISBN 0- 13 – 088702 -1 , 2001.

Dorugade , A.V, Kashid, D.N.(2011). "Parameter Estimation Method in Ridge Regression".

Esteban, F. & Jose, G. (2001). " Robust Logistic Regression For Insurance Risk Classification " , Universidad Carlos Ι Ι Ι de Madrid , call Madrid , 126 .

www.docubib.uc3m.es/WORKINGPAPERS/wb016413.pdf

Gramacy, R.B., Polson, N.G.(2010). "Simulation – based regularized Logistic regression.

Hoerl , A. E. and R. W. Kennard .(1970) , " Ridge Regression Applications to No orthogonal problems " , Technimetrics , Vol.12 , No.1 , pp.69-82 . DOI: https://doi.org/10.1080/00401706.1970.10488635

Kapur . J . N., and Saxena . H.C., "Mathematical Statistic", S . CHAND & Company LTD., 2009 .

Patrick L. Harrington Jr.,(2011), "Robust Logistic Regression with Bounded Data Uncertainties".

Peter, J. Hebber ,Elvezio ,M . (2009), "Robust statistics", 2nd Edition, John Wiley, sonsltd Canada.

Simpson, J. R., & Montgomery, D. C. (1996). "A biased robust regression technique for combined outlier-multicollinearity problem" DOI: https://doi.org/10.1080/00949659608811777

Srivastava. N. (2005). "A Logistic Regression Model For Predicting The Occurrence Of Intense Geomagnetic Storms" . Annales Geophysicae, 23, 2969 -2974.

www.ann-geophys.net /23/2969/2005.pdf DOI: https://doi.org/10.5194/angeo-23-2969-2005

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Published

2014-12-01

How to Cite

AL- Aabdi, F. A. . A., & AL – Shaibani, R. . M. A. (2014). Robust Estimators of Logistic Regression with Problems Multicollinearity or Outliers Values. Journal of Kufa for Mathematics and Computer, 2(2), 63–70. https://doi.org/10.31642/JoKMC/2018/0202010

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