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基于伴随次序统计量的回归函数核估计的强相合性 被引量：1

Strong Consistance of Kernel Estimation for RegressionFunction Based on Induced Order Statistics
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摘要 本文基于二维随机样本 {(Xi,Yi) ,i≥ 1 }的伴随次序统计量Y[r,n] ,定义了回归函数的核估计 ,在一定条件下 ,获得了回归函数核估计的强相合性 ,推广了已有文献中的部分结果 . The large sample nature of kernal estimation for Regression function have been considered by many authors,which are based on original sample {(X i,Y i),i≥1}.However,in this paper,based on induced statistics Y [r,n] from {(X i,Y i),i≥1},we defined the kernal estimation of regression function and obtained its strong consistance.
作者 凌能祥
机构地区 合肥工业大学理学院
出处 《应用数学》 CSCD 北大核心 2004年第3期464-467,共4页 Mathematica Applicata
关键词 伴随次序统计量 核估计 强相合 回归函数 Kernel estimation Strong consistance Induced order statistics
分类号 O212.1 [理学—概率论与数理统计] O211.67 [理学—概率论与数理统计]
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参考文献6

  • 1凌能祥.基于伴随次序统计量的回归函数核估计的强相合性[J].应用数学,2004,17(3):464-467. 被引量：1
  • 2Bhattacharyya P K. Induced order statistics., theory and applications[M]. Amsterdam:North Holland,1984.
  • 3David H A, Galambos J. The asymptotic theory of concomitants of order statistics[J]. J. Appl. Prob. ,1974,11(4) :762-770.
  • 4Shu Janechu,Wen Janghuang, Hung Chen. A study of asymptotic distributions of concomitants of certain order statistics[J]. Statistica Sinica, 1999,9(3) : 811-830.
  • 5Mehra K L,Upadrasta S P. Asymptotic normality of linear combinations of induced order statistics with double weights[J]. The Indian Journal of Statistics, 1992,54A(3):332-350.
  • 6Shie Shienyang. Linear functions of concomitants of order statistics with application to nonparametric estimation of a regression function[J]. Journal of the American Statistical Association. 1981,76(375):658-662.

二级参考文献6

  • 1Bhattacharyya P K. Induced order statistics., theory and applications[M]. Amsterdam:North Holland,1984.
  • 2David H A, Galambos J. The asymptotic theory of concomitants of order statistics[J]. J. Appl. Prob. ,1974,11(4) :762-770.
  • 3Shu Janechu,Wen Janghuang, Hung Chen. A study of asymptotic distributions of concomitants of certain order statistics[J]. Statistica Sinica, 1999,9(3) : 811-830.
  • 4Mehra K L,Upadrasta S P. Asymptotic normality of linear combinations of induced order statistics with double weights[J]. The Indian Journal of Statistics, 1992,54A(3):332-350.
  • 5Shie Shienyang. Linear functions of concomitants of order statistics with application to nonparametric estimation of a regression function[J]. Journal of the American Statistical Association. 1981,76(375):658-662.
  • 6凌能祥.基于伴随次序统计量的回归函数核估计的强相合性[J].应用数学,2004,17(3):464-467. 被引量：1

同被引文献5

  • 1Bhattacharyya P K. Induced order statistics., theory and applications[M]. Amsterdam:North Holland,1984.
  • 2David H A, Galambos J. The asymptotic theory of concomitants of order statistics[J]. J. Appl. Prob. ,1974,11(4) :762-770.
  • 3Shu Janechu,Wen Janghuang, Hung Chen. A study of asymptotic distributions of concomitants of certain order statistics[J]. Statistica Sinica, 1999,9(3) : 811-830.
  • 4Mehra K L,Upadrasta S P. Asymptotic normality of linear combinations of induced order statistics with double weights[J]. The Indian Journal of Statistics, 1992,54A(3):332-350.
  • 5Shie Shienyang. Linear functions of concomitants of order statistics with application to nonparametric estimation of a regression function[J]. Journal of the American Statistical Association. 1981,76(375):658-662.

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应用数学
2004年 第3期

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