Chinese Quarterly Journal of Mathematics ›› 2001, Vol. 16 ›› Issue (1): 71-78.

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A New Class of Biased Linear Estimators in Deficient-rank Linear Models

  

  1.  信息工程大学测绘学院 河南郑州450052,郑州轻工业学院基础部 河南郑州450002,河南金融管理干部学院基础部 河南郑州450002 
  • Received:2000-12-09 Online:2001-03-30 Published:2024-06-25
  • About author:GUI Qing-ming(1960-),male,native of Wujiang,Jiangsu,a professor of Zhengzhou Information Engineering University,engages in the theory and application of statistics;DUAN Qing-tang(1958-),male,native of Weihui,Henan,an associate professor of Zhengzhou College of Light Industry,engages in the theory and application of statistics;ZHOU Qiaoyun(1966-),female,native of Wenxian,Henan,a lecturer of Henan Institute of Finance Management,engages in the theory and application of mathematics;GUO Jian-feng(1972-),male,native of Changge,Henan,a lecturer of Zhengzhou Information Engineering University,engages in the theory and application of statistics.
  • Supported by:
    Supported by National Science Fund for Distinguished Young Scholars(49825107);Supported by Natural Science Foundation of China(40074006);Supported by Natural Science Foundation of Henan Province(004051300) 

Abstract: 本文基于最优线性最小偏差估计的谱分解 ,定义了秩亏线性模型未知参数的一个新的线性有偏估计类 ,并讨论了它的许多重要性质 .通过选取偏参数的适当形式 ,构造了许多很有意义的线性有偏估计 .最后 ,给出了一个算例 . 

Key words:  , 秩亏线性模型, 最优线性最小偏差估计, 广义主成分估计, 均方误差, 条件数,  ,

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