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部分线性回归模型的一步局部M-估计 被引量:1

One-step Local M-Estimates for the Partial Linear Models
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摘要 讨论了部分线性回归模型的一步局部M-估计。用一步局部M-估计给出未知函数估计。用平均方法给出参数估计,并证明回归函数和其导函数的弱一致性和联合正态性。 In the paper the robust one-step local M-estimates of the unknown function and the unknown parameters of the partial linear models are discussed.The estimators of parametric component on partial linear models are developed by one-step local M-estimation method and average method,the estimators of nonparametric component are given by one-step M-estimation.And weak consistences and asymptotic properties of these estimators are investigated.
出处 《太原理工大学学报》 CAS 北大核心 2008年第S2期295-298,共4页 Journal of Taiyuan University of Technology
关键词 部分线性回归模型 一步局部M-估计 一致性 渐近正态性 partial linear models one-step local M-estimation consistence asymptotic normality
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共引文献13

同被引文献7

  • 1张日权,王静龙.部分线性回归模型的M-估计[J].应用数学学报,2005,28(1):151-157. 被引量:14
  • 2Chen H. Convergence Rate for Parametric Components in a Partly Linear Model[J]. Ann Statist, 1988, 16(3): 136-146.
  • 3Chen H, Shiau J G. A Two-stage Spline Smoothing Method for Partially Linear Models[J]. Statist Planning and Inference, 1991, 25(2): 187-201.
  • 4Green P J, Silverman B W. Nonparametric Regression and Generalized Linear Models: a Roughness penalty Approach[M]. Chapman and Hall, London, 1994.
  • 5Fang J, Gijbels I. Variable Bandwidth and Local Linear Regression Smoothers[J]. Ann Statist, 1992, 20(4): 2008-2036.
  • 6李泽华,刘金山,吴小腊.变系数模型变窗宽和一步局部M-估计[J].高校应用数学学报(A辑),2009,24(4):379-390. 被引量:1
  • 7范剑青,蒋建成.Variable bandwidth and one-step local M-estimator[J].Science China Mathematics,2000,43(1):65-81. 被引量:10

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