PERFORMANCE OF A WEIGHTED RIDGE ESTIMATOR

被引:0
作者
Bhat, Satish [1 ]
机构
[1] Univ Mysore, Yuvarajas Coll, Dept Stat, Mysuru 570005, Karnataka, India
来源
INTERNATIONAL JOURNAL OF AGRICULTURAL AND STATISTICAL SCIENCES | 2019年 / 15卷 / 01期
关键词
Multiple regression; Multicollinearity; Ridge parameter; Mean square error (MSE); REGRESSION; PARAMETER;
D O I
暂无
中图分类号
S [农业科学];
学科分类号
09 ;
摘要
Ridge regression (RR) is used as an alternative method to OLS in the presence of multicollinearity to obtain stable estimates of parameters of a model when standard multiple regression methods fail. Here, a new ordinary ridge estimator is suggested based on weights, where weights being the first two largest eigen values. The performance of the suggested estimator is evaluated empirically, for a wide range of degree of multicollinearity between any two predictors with some of the well-known existing estimators. Results showed that the MSE of the proposed estimator is least and it yields more stable estimates as compared to MSE of the other estimators considered in this study.
引用
收藏
页码:347 / 354
页数:8
相关论文
共 28 条
[11]  
Dorugade A. V., 2014, Journal of the Association of Arab Universities for Basic and Applied Sciences, V15, P94, DOI [10.1016/j.jaubas.2013.03.005, DOI 10.1016/J.JAUBAS.2013.03.005, 10.1016/j.jaubas.2013.03.005.9]
[12]  
Dorugade A.V., 2010, Applied Math. Sci, V4, P447
[13]   Tests of regression coefficients under ridge regression models [J].
Halawa, AM ;
El Bassiouni, MY .
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2000, 65 (04) :341-356
[14]   RIDGE REGRESSION - SOME SIMULATIONS [J].
HOERL, AE ;
KENNARD, RW ;
BALDWIN, KF .
COMMUNICATIONS IN STATISTICS, 1975, 4 (02) :105-123
[15]   RIDGE REGRESSION - BIASED ESTIMATION FOR NONORTHOGONAL PROBLEMS [J].
HOERL, AE ;
KENNARD, RW .
TECHNOMETRICS, 1970, 12 (01) :55-&
[16]  
Judge G., 1885, THEORY PRACTICE ECON
[17]   Choosing ridge parameter for regression problems [J].
Khalaf, G ;
Shukur, G .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2005, 34 (05) :1177-1182
[18]   A Proposed Ridge Parameter to Improve the Least Squares Estimator [J].
Khalaf, Ghadban .
JOURNAL OF MODERN APPLIED STATISTICAL METHODS, 2012, 11 (02) :443-449
[19]   Performance of some new ridge regression estimators [J].
Kibria, BMG .
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2003, 32 (02) :419-435
[20]   SIMULATION STUDY OF RIDGE AND OTHER REGRESSION ESTIMATORS [J].
LAWLESS, JF ;
WANG, P .
COMMUNICATIONS IN STATISTICS PART A-THEORY AND METHODS, 1976, A 5 (04) :307-323