期刊文献+

线性模型中基于稳健诊断的局部影响分析(英文) 被引量:3

Assessing local influenceusing robust diagnostic in linear regression
原文传递
导出
摘要 在线性回归模型的局部影响分析中,通过用具有高崩溃点的稳健估计替代局部影响分析诊断统计量中投影矩阵的方法,给出了一种有效识别影响点的方法.实例分析说明,该方法对高杠杆点及掩盖效应具有较好的识别效果. A new method is suggested to study local influence in linear regression model by inserting a high-breakdown point estimation in projection matrix.It is shown that this method is effective to identify the joint influence and masking effects appeared in leverage points.Three examples are analyzed for illustration.
出处 《云南大学学报(自然科学版)》 CAS CSCD 2004年第1期1-5,共5页 Journal of Yunnan University(Natural Sciences Edition)
基金 ThisresearchissupportedbyNationalNaturalScienceFoundationofChina(10261009)andScienceFoundationofYunnanProvince ( 2 0 0 0A 0 0 0 3M )
关键词 线性模型 局部影响 扰动模式 掩盖效应 广义COOK统计量 杠杆点 稳健诊断 local influence perturbation scheme unmasking generalized Cook statistic leverage robust diagnostics
  • 相关文献

参考文献15

  • 1[1]COOK R D. Assessment of local influence [J]. J RStatist Soc, 1986, B48:133-169.
  • 2[2]WU X, LUO Z. Second-order approach to localinfluence[J]. J R Statist Soc, 1993, B55:929-936.
  • 3[3]LAWRANCE A J. Regression transformation diagnosticsusinglocal influence[J]. J Amer Statist Assoc, 1988, 83:1067-1072.
  • 4[4]PENA D, YOHAI V J. The detection of influential subsetin linear regression by using an influence matrix[J] .JR Statist Soc, 1995, B57(1): 145-156.
  • 5[5]SHI L. Local influence in principal componentsanalysis[J]. Biometrika, 1997, 84(1): 175-186.
  • 6[6]CAMPBELL N A. Robust procedures in multivariateanalysis I: Robust covariance estimation [J]. AppliedStatistics, 1980, 29: 231-237.
  • 7[7]ROUSSEEUW P J, LEORY A. Robust regression andoutlier detection[M]. New York:John Wiley, 1987.
  • 8[8]ROUSSEEUW P J, ZOMEREN B C V. Unmasking multivariate outliers and leverage points [J]. J Amer Statist Assoc, 1990, 85(411) :633-639.
  • 9[9]ATKINSON A C. Masking unmasked[J]. Biometrika,1986, 73: 533-541.
  • 10[10]COOK R D, WEISBERG S. Residual and influence in regression[ M]. New York: Chapman and Hall, 1982.

同被引文献32

  • 1刘乐平,袁卫.现代贝叶斯分析与现代统计推断[J].经济理论与经济管理,2004,24(6):64-69. 被引量:49
  • 2[8]Yang, Y. X. Robust collocation [ J ]. manuscripta geodatica,1992,17 ( 1 ) :21 - 28.
  • 3[9]Yang, Y. X. Robust bayesian estimation [ J]. Bull. Geod.,1991,65 (3): 145 - 150.
  • 4[10]Xu, P. L.. Robustified least squares methods and their applications [ J ]. Bull. Geod. ,2001,75 (3): 176 - 182.
  • 5[18]杨文,张强志.回归诊断理论与应用[M].北京;中国统计出版社,2001,203-298.
  • 6[24]Mike, W. A.. Gross error detection in observations [ J ].Bull. Geod. , 2002,76 (3): 223 - 238.
  • 7[25]Mike, W. A.. Discussion on leverage observations [ J ].Bull. Geod. ,2003,77 (3) :236 - 245.
  • 8FAN J, J IANG J. Variable bandwidth and one-step local M-estimator[J]. Science in China, 1999, 29 (8) :689-702.
  • 9FANG J. Design-adaptive nonparametric regression[J]. Jour America Statist Assoc, 1992, 87(420) :998-1004.
  • 10FAN J. Local linear regression smoothers and their minimal efficiencies[J]. Ann Statist, 1993, 21(1):196-216.

引证文献3

二级引证文献2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部