吉林大学学报(理学版)

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线性模型参数一类新的s-K估计

吴燕, 何道江   

  1. 安徽师范大学 统计系, 安徽 芜湖 241003
  • 收稿日期:2013-03-18 出版日期:2014-01-26 发布日期:2014-03-05
  • 通讯作者: 何道江 E-mail:djheahnu@163.com

A New Class of s-K Estimators in the Linear Model

WU Yan, HE Daojiang   

  1. Department of Statistics, Anhui Normal University, Wuhu 241003, Anhui Province, China
  • Received:2013-03-18 Online:2014-01-26 Published:2014-03-05
  • Contact: HE Daojiang E-mail:djheahnu@163.com

摘要:

基于线性回归模型参数向量的先验信息提出一类新的s-K估计--改进s-K估计, 并在均方误差阵意义下, 得到了这类估计分别优于最小二乘估计、 广义岭估计、 Stein估计及s-K估计的充要条件.

关键词: 最小二乘估计, 岭估计, Stein估计, s-K估计, 改进的s-K估计

Abstract:

A new class of s-K estimators, called the modified s-K estimators was proposed based on the prior information for the parameter vector in a linear model. The necessary and sufficient conditions that the new estimators are respectively superior to the least squares estimator, ridge estimators, Stein estimators and s-K estimators were obtained.

Key words: the least squares estimator, ridge estimators, Stein estimators, s-K estimators, modified s-K estimators

中图分类号: 

  • O212.2