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线性回归模型中自变无选择的逐步回归方法及其相合性研究 被引量:3

STUDY THE METHOD OF THE STEPWISE REGRESSION AND ITS CONSISTENCY ON SELECTION SELF-VARIABLE IN LINEAR REGRESSION MODEL
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摘要 线性回归模型的建立 ,一个很重要的过程就是自变元的选择 ,它直接决定着模型的优劣。本文给出了“宜取回归方程”的逐步回归方法 ,在一组适当的条件下 ,证明了这种方法的强相合性。 Independent variable of selection decides directly the advantage and disadvantage of the model which is the very important process of the establishment of the linear regression model. The paper gives the method of stepwise regression of “the regression equation of appropriate selection” and proves its strong cansistency in a group of suitable conditions.
作者 孙道德
出处 《数学杂志》 CSCD 北大核心 2001年第1期71-78,共8页 Journal of Mathematics
基金 安徽省教委自然科学基金!资助项目 (1 995)
关键词 线性回归模型 自变无选择 逐步回归方法 强相合法 linear regression model selection independent variable method of stepwise regression strong consistency.
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参考文献2

  • 1陈希孺,线性模型参数的估计理论,1985年
  • 2Lei T L,Ann Probab,1982年,10卷,320页

同被引文献15

  • 1孙道德.再论线性模型自变元选择的BIC方法相容性条件[J].高校应用数学学报(A辑),1995,10(1):26-33. 被引量:3
  • 2Lai T L, Wei C Z. Least squares estimates in stochastic regression model with applications to identification and control of dynamic systems[J]. Ann. Statist. , 1982,10(1):154-166.
  • 3Stout W F. Almost Sure Convergence[M]. New York.. Academic, 1974.
  • 4Lai T L, Wei C Z. Asymptotic properties of projections with applications to stochastic regression problem[J]. J. of Multivariate Analysis, 1982,12:346-370.
  • 5Lai Tzeleung.,Wei Chingzong.Least squares estimates in stochastic regression model with applications to identification and control of dynamic systems[J].Ann.Statist.,1982,10(1):154-166.
  • 6Stout W.F..Almost Sure Convergence[M].Academic,New York,1974.
  • 7Lai Tzeleung.,Wei Chingzong.Asymptotic properties of projections with applications to stochastic regression problem[J].J.of Multivariate Analysis,1982,12:346-370.
  • 8Wei Chingzong.On predictive least squares principles[J].The Annals of statistics,1992,20(1):1-42.
  • 9张结喜,齐艳华,邱建章.催化裂化关联模型的研究[J].计算机与应用化学,2007,24(11):1519-1522. 被引量:11
  • 10高振,唐立新,金辉,徐楠楠.An Optimization Model for the Production Planning of Overall Refinery[J].Chinese Journal of Chemical Engineering,2008,16(1):67-70. 被引量:6

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