Correlation Based Ridge Parameters in Ridge Regression with Heteroscedastic Errors and Outliers

DOI

10.2991/jsta.2015.14.4.6How to use a DOI?

Keywords

Heteroscedasticity; Multicollinearity; Mean square error; Outlier; Ridge estimator.

Abstract

This paper introduces some new estimators for estimating ridge parameter, based on correlation between response and regressor variables for ridge regression analysis. A simulation study has been made to evaluate the performance of proposed estimators based on the minimum mean squared error (MSE) criterion compared to ordinary least squares (LS) estimator and ordinary ridge regression (RR) estimator. The simulation studies demonstrated that the suggested estimators are superior to LS and RR estimators in ridge regression analysis with Heteroscedastic and/or correlated errors, outlier observations.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - A.V. Dorugade
PY  - 2015
DA  - 2015/12/01
TI  - Correlation Based Ridge Parameters in Ridge Regression with Heteroscedastic Errors and Outliers
JO  - Journal of Statistical Theory and Applications
SP  - 413
EP  - 424
VL  - 14
IS  - 4
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2015.14.4.6
DO  - 10.2991/jsta.2015.14.4.6
ID  - Dorugade2015
ER  -