메뉴 건너뛰기




Volumn 72, Issue 2, 2000, Pages 151-162

High Breakdown Estimation for Multiple Populations with Applications to Discriminant Analysis

Author keywords

Breakdown point; Discriminant analysis; Outlier; Robust methods; S estimator; Two sample problems

Indexed keywords


EID: 0011908457     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmva.1999.1857     Document Type: Article
Times cited : (94)

References (17)
  • 1
    • 0000368132 scopus 로고
    • Masking unmasked
    • A. C. Atkinson, Masking unmasked, Biometrika 73 (1986), 533-541.
    • (1986) Biometrika , vol.73 , pp. 533-541
    • Atkinson, A.C.1
  • 2
    • 0026610594 scopus 로고
    • Integrating a high-breakdown option into discriminant analysis in exploration geochemistry
    • C. Y. Chork and P. J. Rousseeuw, Integrating a high-breakdown option into discriminant analysis in exploration geochemistry, Journal of Geochemical Exploration 43 (1992), 191-203.
    • (1992) Journal of Geochemical Exploration , vol.43 , pp. 191-203
    • Chork, C.Y.1    Rousseeuw, P.J.2
  • 3
    • 0000789842 scopus 로고
    • Asymptotic behavior of S-estimates of multivariate location parameters and dispersion matrices
    • P. L. Davies, Asymptotic behavior of S-estimates of multivariate location parameters and dispersion matrices, Ann. Statist. 15 (1987), 1269-1292.
    • (1987) Ann. Statist. , vol.15 , pp. 1269-1292
    • Davies, P.L.1
  • 4
    • 21144473392 scopus 로고
    • Unmasking outliers and leverage points: A confirmation
    • W. K. Fung, Unmasking outliers and leverage points: A confirmation, J. Am. Statist. Assoc. 88 (1993), 515-519.
    • (1993) J. Am. Statist. Assoc. , vol.88 , pp. 515-519
    • Fung, W.K.1
  • 5
    • 21844483750 scopus 로고
    • Diagnostics in linear discriminant analysis
    • W. K. Fung, Diagnostics in linear discriminant analysis, J. Am. Statist. Assoc. 90 (1995), 952-596.
    • (1995) J. Am. Statist. Assoc. , vol.90 , pp. 952-1596
    • Fung, W.K.1
  • 6
    • 1542512253 scopus 로고
    • Reweighted LS estimators converge at the same rate as the initial estimator
    • X. He and S. L. Portnoy, Reweighted LS estimators converge at the same rate as the initial estimator, Ann. Statist. 20 (1994), 2161-2167.
    • (1994) Ann. Statist. , vol.20 , pp. 2161-2167
    • He, X.1    Portnoy, S.L.2
  • 7
    • 21344465497 scopus 로고    scopus 로고
    • Properties and applicability of the minimum volume ellipsoid estimator
    • X. He and G. Wang, Properties and applicability of the minimum volume ellipsoid estimator, Statistica Sinica 6 (1996a), 367-374.
    • (1996) Statistica Sinica , vol.6 , pp. 367-374
    • He, X.1    Wang, G.2
  • 8
    • 0031489876 scopus 로고    scopus 로고
    • A qualitative robustness of S* estimators of multivariate location and dispersion
    • X. He and G. Wang, A qualitative robustness of S* estimators of multivariate location and dispersion, Statistica Neerlandica 51 (1996b), 257-268.
    • (1996) Statistica Neerlandica , vol.51 , pp. 257-268
    • He, X.1    Wang, G.2
  • 9
    • 0001055108 scopus 로고
    • On the relation between S-estimators and M-estimators of multivariate location and covariance
    • H. P. Lopuhaä, On the relation between S-estimators and M-estimators of multivariate location and covariance, Ann. Statist. 17 (1989), 1662-1683.
    • (1989) Ann. Statist. , vol.17 , pp. 1662-1683
    • Lopuhaä, H.P.1
  • 10
    • 0002063041 scopus 로고
    • Robust M-estimators of multivariate location and scatter
    • R. A. Maronna, Robust M-estimators of multivariate location and scatter, Ann. Statist. 4 (1976), 51-67.
    • (1976) Ann. Statist. , vol.4 , pp. 51-67
    • Maronna, R.A.1
  • 11
    • 0010172861 scopus 로고
    • Generalized linear and quadratic discriminant functions using robust estimates
    • R. H. Randles, J. D. Broffitt, J. S. Ramberg, and R. V. Hogg, Generalized linear and quadratic discriminant functions using robust estimates, J. Am. Statist. Assoc. 73 (1978), 564-568.
    • (1978) J. Am. Statist. Assoc. , vol.73 , pp. 564-568
    • Randles, R.H.1    Broffitt, J.D.2    Ramberg, J.S.3    Hogg, R.V.4
  • 12
    • 0002564033 scopus 로고    scopus 로고
    • Multivariate estimation with high breakdown point
    • W. Grossmann, G. Pflug, I. Vinceze, and W. Wertz, Eds., Reidel, The Netherlands.
    • P. J. Rousseeuw, Multivariate estimation with high breakdown point, in "Mathematical Statistics and Applications, Vol. B" (W. Grossmann, G. Pflug, I. Vinceze, and W. Wertz, Eds.), pp. 283-297, Reidel, The Netherlands.
    • Mathematical Statistics and Applications , vol.B , pp. 283-297
    • Rousseeuw, P.J.1
  • 14
    • 84950439147 scopus 로고
    • Unmasking multivariate outliers and leverage points
    • P. J. Rousseeuw and B. C. van Zomeren, Unmasking multivariate outliers and leverage points (with discussion), J. Am. Statist. Assoc. 85 (1990), 633-651.
    • (1990) J. Am. Statist. Assoc. , vol.85 , pp. 633-651
    • Rousseeuw, P.J.1    Van Zomeren, B.C.2
  • 15
    • 0001512292 scopus 로고    scopus 로고
    • Robust regression by means of S-estimators
    • "Robust and Nonlinear Time Series Analysis" (J. Franke, W. Härdle and R. D. Martin, Eds.), Springer-Verlag, New York
    • P. J. Rousseeuw and V. J. Yohai, Robust regression by means of S-estimators, in "Robust and Nonlinear Time Series Analysis" (J. Franke, W. Härdle and R. D. Martin, Eds.), Lecture Notes in Statistics, pp. 256-272, Springer-Verlag, New York.
    • Lecture Notes in Statistics , pp. 256-272
    • Rousseeuw, P.J.1    Yohai, V.J.2
  • 16
    • 0001092634 scopus 로고
    • Computing S estimators for regression and multivariate location/dispersion
    • D. Ruppert, Computing S estimators for regression and multivariate location/dispersion, J. Comput. Graph. Statist. 1 (1992), 253-270.
    • (1992) J. Comput. Graph. Statist. , vol.1 , pp. 253-270
    • Ruppert, D.1
  • 17
    • 0038979600 scopus 로고    scopus 로고
    • Robust selection of variables in discriminant analysis based on minimum volume ellipsoid and MCD estimators
    • Physica-Verlag, Heidelberg
    • V. K. Todorov, N. M. Neykov, and P. N. Neytchev, Robust selection of variables in discriminant analysis based on minimum volume ellipsoid and MCD estimators, in "Compstat," pp. 193-198, Physica-Verlag, Heidelberg.
    • Compstat , pp. 193-198
    • Todorov, V.K.1    Neykov, N.M.2    Neytchev, P.N.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.