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Volumn 29, Issue 3, 2001, Pages 473-493

Robust linear discriminant analysis using S-estimators

Author keywords

B robustness; Breakdown point; Discriminant analysis; Influence function; Multivariate location; S estimators

Indexed keywords


EID: 0035729565     PISSN: 03195724     EISSN: None     Source Type: Journal    
DOI: 10.2307/3316042     Document Type: Article
Times cited : (106)

References (29)
  • 1
    • 21344481802 scopus 로고
    • Asymptotics for the minimum covariance determinant estimator
    • R. W. Butler, P. L. Davies & M. Jhun (1993). Asymptotics for the minimum covariance determinant estimator. The Annals of Statistics, 21, 1385-1400.
    • (1993) The Annals of Statistics , vol.21 , pp. 1385-1400
    • Butler, R.W.1    Davies, P.L.2    Jhun, M.3
  • 2
    • 0000056988 scopus 로고
    • The influence function as an aid in outlier detection in discriminant analysis
    • N. A. Campbell (1978). The influence function as an aid in outlier detection in discriminant analysis. Applied Statistics, 27, 251-258.
    • (1978) Applied Statistics , vol.27 , pp. 251-258
    • Campbell, N.A.1
  • 3
    • 0001987026 scopus 로고
    • Robust procedures in multivariate analysis: Robust canonical variate analysis
    • N. A. Campbell (1982). Robust procedures in multivariate analysis: Robust canonical variate analysis. Applied Statistics, 31, 1-8.
    • (1982) Applied Statistics , vol.31 , pp. 1-8
    • Campbell, N.A.1
  • 4
    • 0026610594 scopus 로고
    • Integrating a high-breakdown option into discriminant analysis in exploration geochemistry
    • C. Y. Chork & P. J. Rousseeuw (1992). Integrating a high-breakdown option into discriminant analysis in exploration geochemistry. Journal of Geochemical Exploration, 43, 191-203.
    • (1992) Journal of Geochemical Exploration , vol.43 , pp. 191-203
    • Chork, C.Y.1    Rousseeuw, P.J.2
  • 5
    • 0000932017 scopus 로고
    • The influence of observations on misclassification probability estimates in linear discriminant analysis
    • F. Critchley & C. Vitiello (1991). The influence of observations on misclassification probability estimates in linear discriminant analysis. Biometrika, 78, 677-690.
    • (1991) Biometrika , vol.78 , pp. 677-690
    • Critchley, F.1    Vitiello, C.2
  • 7
    • 0001399709 scopus 로고    scopus 로고
    • Influence function and efficiency of the minimum covariance determinant scatter matrix estimator
    • C. Croux & G. Haesbroeck (1999). Influence function and efficiency of the minimum covariance determinant scatter matrix estimator. Journal of Multivariate Analysis, 71, 161-190.
    • (1999) Journal of Multivariate Analysis , vol.71 , pp. 161-190
    • Croux, C.1    Haesbroeck, G.2
  • 8
    • 0001088628 scopus 로고    scopus 로고
    • Principal component analysis based on robust estimators of the covariance or correlation matrix: Influence functions and efficiencies
    • C. Croux & G. Haesbroeck (2000). Principal component analysis based on robust estimators of the covariance or correlation matrix: Influence functions and efficiencies. Biometrika, 87, 603-618.
    • (2000) Biometrika , vol.87 , pp. 603-618
    • Croux, C.1    Haesbroeck, G.2
  • 9
    • 0000789842 scopus 로고
    • Asymptotic behavior of S-estimators of multivariate location parameters and dispersion matrices
    • P. L. Davies ( 1987). Asymptotic behavior of S-estimators of multivariate location parameters and dispersion matrices. The Annals of Statistics, 15, 1269-1292.
    • (1987) The Annals of Statistics , vol.15 , pp. 1269-1292
    • Davies, P.L.1
  • 10
    • 21144467678 scopus 로고
    • The asymptotics of Rousseeuw's minimum volume ellipsoid estimator
    • P. L. Davies (1992). The asymptotics of Rousseeuw's minimum volume ellipsoid estimator. The Annals of Statistics, 4, 1828-1843.
    • (1992) The Annals of Statistics , vol.4 , pp. 1828-1843
    • Davies, P.L.1
  • 13
    • 0011908457 scopus 로고    scopus 로고
    • High breakdown estimation for multiple populations with applications to discriminant analysis
    • X. He & W. K. Fung (2000). High breakdown estimation for multiple populations with applications to discriminant analysis. Journal of Multivariate Analysis, 72, 151-162.
    • (2000) Journal of Multivariate Analysis , vol.72 , pp. 151-162
    • He, X.1    Fung, W.K.2
  • 16
    • 0001385070 scopus 로고
    • Discriminant analysis when the initial samples are misclassified
    • P. A. Lachenbruch (1966). Discriminant analysis when the initial samples are misclassified. Technometrics, 8, 657-662.
    • (1966) Technometrics , vol.8 , pp. 657-662
    • Lachenbruch, P.A.1
  • 17
    • 0001055108 scopus 로고
    • On the relation between S-estimators and M-estimators of multivariate location and covariance
    • H. P. Lopuhaä (1989). On the relation between S-estimators and M-estimators of multivariate location and covariance. The Annals of Statistics, 17, 1662-1683.
    • (1989) The Annals of Statistics , vol.17 , pp. 1662-1683
    • Lopuhaä, H.P.1
  • 18
    • 0033233738 scopus 로고    scopus 로고
    • Asymptotics of reweighted estimators of multivariate location and scatter
    • H. P. Lopuhaä (1999). Asymptotics of reweighted estimators of multivariate location and scatter. The Annals of Statistics, 27, 1638-1665.
    • (1999) The Annals of Statistics , vol.27 , pp. 1638-1665
    • Lopuhaä, H.P.1
  • 19
    • 0002063041 scopus 로고
    • Robust M-estimators of multivariate location and scatter
    • R. A. Maronna (1976). Robust M-estimators of multivariate location and scatter. The Annals of Statistics, 4, 51-67.
    • (1976) The Annals of Statistics , vol.4 , pp. 51-67
    • Maronna, R.A.1
  • 25
    • 0032680362 scopus 로고    scopus 로고
    • A fast algorithm for the minimum covariance determinant estimator
    • P. J. Rousseeuw & K. Van Driessen (1999). A fast algorithm for the minimum covariance determinant estimator. Technometrics, 41, 212-23.
    • (1999) Technometrics , vol.41 , pp. 212-223
    • Rousseeuw, P.J.1    Van Driessen, K.2
  • 27
    • 0001092634 scopus 로고
    • Computing S-estimators for regression and multivariate location and dispersion
    • D. Ruppert (1992). Computing S-estimators for regression and multivariate location and dispersion. Journal of Computational and Graphical Statistics, 1, 253-270.
    • (1992) Journal of Computational and Graphical Statistics , vol.1 , pp. 253-270
    • Ruppert, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.