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On the Stochastic Restricted Almost Unbiased Estimators in Linear Regression Model
Authors:Jibo Wu  Hu Yang
Institution:College of Mathematics and Statistics , Chongqing University , Chongqing , China
Abstract:In this article, the stochastic restricted almost unbiased ridge regression estimator and stochastic restricted almost unbiased Liu estimator are proposed to overcome the well-known multicollinearity problem in linear regression model. The quadratic bias and mean square error matrix of the proposed estimators are derived and compared. Furthermore, a numerical example and a Monte Carlo simulation are given to illustrate some of the theoretical results.
Keywords:Liu estimator  Multicollinearity  Ridge estimator  Stochastic linear restrictions  Stochastic restricted almost unbiased Liu estimator  Stochastic restricted almost unbiased ridge estimator
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