Generalized shrunken type-GM estimator and its application

International Conference on Applied Sciences 2013

Ma, C.Z.^1 ; Du, Y.L.^1

Institute of Science, Information Engineering University, Zhengzhou 450001, China^1

关键词: Biased estimators;    Coefficient matrix;    ITS applications;    Leverage points;    Linear modeling;    Multicollinearity;    Parameter estimation problems;    Principal Components;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/57/1/012010/pdf
DOI  :  10.1088/1757-899X/57/1/012010

来源: IOP

【 摘 要 】

The parameter estimation problem in linear model is considered when multicollinearity and outliers exist simultaneously. A class of new robust biased estimator, Generalized Shrunken Type-GM Estimation, with their calculated methods are established by combination of GM estimator and biased estimator include Ridge estimate, Principal components estimate and Liu estimate and so on. A numerical example shows that the most attractive advantage of these new estimators is that they can not only overcome the multicollinearity of coefficient matrix and outliers but also have the ability to control the influence of leverage points.