A Generalized Stochastic Restricted Ridge Regression Estimator

作者：Alheety M I; Kibria B M Golam^*

来源：Communications in Statistics - Theory and Methods, 2014, 43(20): 4415-4427.

DOI：10.1080/03610926.2012.724506

• Ordinary mixed estimator
• Stochastic linear restrictions
• Linear regression model
• Multicollinearity

In this article, we introduce a new stochastic restricted estimator for the unknown vector parameter in the linear regression model when stochastic linear restrictions on the parameters hold. We show that the new estimator is a generalization of the ordinary mixed estimator (OME), Liu estimator (LE), ordinary ridge estimator (ORR), (k-d) class estimator, stochastic restricted Liu estimator (SRLE), and stochastic restricted ridge estimator (SRRE). Performance of the new estimator in comparison to other estimators in terms of the mean squares error matrix (MMSE) is examined. Numerical example from literature have been given to illustrate the results.

• 出版日期2014-10-18