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数据的剔除对Minimax线性估计的影响与相关系数

The Influence of Data-Deleting on Mininmax Linear Estimation and Correlation Coefficients

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【作者】 田保光王建新翟发辉

【Author】 TIAN Bao-guang,WANG Jian-xin,ZHAI Fa-hui(Department of Mathematics,Qingdao University of Science and Technology,Qingdao 266042,Shandong)

【机构】 青岛科技大学数理系青岛科技大学数理系 山东青岛266042山东青岛266042

【摘要】 用方差比和广义方差比作为判定数据对Minimax线性估计影响的标准,建立了剔除一组数据时的方差比与相关系数的关系,找到了剔除多组数据时的广义方差比与Hotelling广义相关系数的联系,并讨论了剔除一组数据与剔除二组数据时的广义方差比之间的关系.

【Abstract】 The variance ratio and generalized variance ratio are used as criterion of influence of data on minimax linear estimation.The relationship between variance ratio and correlation coefficient is built when one data case is deleted.The relationship between generalized variance ratio and Hotelling generalized correlation coefficient is also found when a set of data cases is deleted.Moreover,the relationship between generalized variance ratioes when one data case is deleted or two data cases are deleted is also discussed.

  • 【文献出处】 四川师范大学学报(自然科学版) ,Journal of Sichuan Normal University(Natural Science) , 编辑部邮箱 ,2007年06期
  • 【分类号】O212
  • 【被引频次】1
  • 【下载频次】24
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