Identifying local influential observations in Liu estimator

被引:4
|
作者
Jahufer, Aboobacker [1 ]
Chen, Jianbao [2 ]
机构
[1] SE Univ Sri Lanka, Fac Sci Appl, Dept Math Sci, Sammanthurai 32200, Sri Lanka
[2] Xiamen Univ, Sch Econ, Dept Planning & Stat, Xiamen 361005, Peoples R China
关键词
Influential observations; Liu estimator; Local influence; Multicollinearity; Perturbation scheme; RIDGE-REGRESSION; LINEAR-REGRESSION;
D O I
10.1007/s00184-010-0334-4
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Identifying influential observations is an important step in the right direction of the linear regression model building process. Various influence measures based on different motivational arguments are designed to measure the influence of observations through different aspects of various regression models. This paper is on the result of the research studies on the local influence of minor perturbation on the Liu estimator in linear regression model. The diagnostics under the perturbations of constant variance, individual explanatory variables and assessing the influence on the selection of Liu estimator biasing parameter are derived for Liu estimator. Two real data sets are employed to illustrate our methodologies.
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页码:425 / 438
页数:14
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