메뉴 건너뛰기




Volumn 96, Issue 2, 2005, Pages 384-403

Influence of observations on the misclassification probability in quadratic discriminant analysis

Author keywords

Classification; Diagnostics; Misclassification probability; Outliers; Partial influence functions; Quadratic discriminant analysis

Indexed keywords


EID: 26844582460     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmva.2004.11.001     Document Type: Article
Times cited : (37)

References (34)
  • 1
    • 0030326891 scopus 로고    scopus 로고
    • Regularized Gaussian discriminant analysis through eigenvalue decomposition
    • H. Bensmail H. Celuex Regularized Gaussian discriminant analysis through eigenvalue decomposition J. Amer. Statist. Assoc. 91 1996 1743-1748
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 1743-1748
    • Bensmail, H.1    Celuex, H.2
  • 2
    • 1542282049 scopus 로고    scopus 로고
    • Influence functions and outlier detection under the common principal components model: A robust approach
    • G. Boente A.M. Pires I.M. Rodrigues Influence functions and outlier detection under the common principal components model: A robust approach Biometrika 89 2002 861-875
    • (2002) Biometrika , vol.89 , pp. 861-875
    • Boente, G.1    Pires, A.M.2    Rodrigues, I.M.3
  • 3
    • 21344481802 scopus 로고
    • Asymptotics for the minimum covariance determinant estimator
    • R.W. Butler P.L. Davies M. Jhun Asymptotics for the minimum covariance determinant estimator Ann. Statist. 21 1993 1385-1400
    • (1993) Ann. Statist. , vol.21 , pp. 1385-1400
    • Butler, R.W.1    Davies, P.L.2    Jhun, M.3
  • 4
    • 0000056988 scopus 로고
    • The influence function as an aid in outlier detection in discriminant analysis
    • N.A. Campbell The influence function as an aid in outlier detection in discriminant analysis Appl. Statist. 27 1978 251-258
    • (1978) Appl. Statist. , vol.27 , pp. 251-258
    • Campbell, N.A.1
  • 5
    • 0001527254 scopus 로고
    • Influence in principal components analysis
    • F. Critchley Influence in principal components analysis Biometrika 72 1985 627-636
    • (1985) Biometrika , vol.72 , pp. 627-636
    • Critchley, F.1
  • 6
    • 0000932017 scopus 로고
    • The influence of observations on misclassification probability estimates in linear discriminant analysis
    • F. Critchley C. Vitiello The influence of observations on misclassification probability estimates in linear discriminant analysis Biometrika 78 1991 677-690
    • (1991) Biometrika , vol.78 , pp. 677-690
    • Critchley, F.1    Vitiello, C.2
  • 7
    • 0035729565 scopus 로고    scopus 로고
    • Robust linear discriminant analysis using S-estimators
    • C. Croux C. Dehon Robust linear discriminant analysis using S-estimators Canad. J. Statist. 29 2001 473-492
    • (2001) Canad. J. Statist. , vol.29 , pp. 473-492
    • Croux, C.1    Dehon, C.2
  • 8
    • 0001399709 scopus 로고    scopus 로고
    • Influence function and efficiency of the minimum covariance determinant scatter matrix estimator
    • C. Croux G. Haesbroeck Influence function and efficiency of the minimum covariance determinant scatter matrix estimator J. Multivariate Anal. 71 1999 161-190
    • (1999) J. Multivariate Anal. , vol.71 , pp. 161-190
    • Croux, C.1    Haesbroeck, G.2
  • 9
    • 0001088628 scopus 로고    scopus 로고
    • Principal component analysis based on robust estimates of the covariance and correlation matrix: Influence functions and efficiencies
    • C. Croux G. Haesbroeck Principal component analysis based on robust estimates of the covariance and correlation matrix: Influence functions and efficiencies Biometrika 87 2000 603-618
    • (2000) Biometrika , vol.87 , pp. 603-618
    • Croux, C.1    Haesbroeck, G.2
  • 11
    • 38249014281 scopus 로고
    • Some diagnostic measures in discriminant analysis
    • W.K. Fung Some diagnostic measures in discriminant analysis Statist. Probab. Lett. 13 1992 279-285
    • (1992) Statist. Probab. Lett. , vol.13 , pp. 279-285
    • Fung, W.K.1
  • 12
    • 21844483750 scopus 로고
    • Diagnostics in linear discriminant analysis
    • W.K. Fung Diagnostics in linear discriminant analysis J. Amer. Statist. Assoc. 90 1995 952-956
    • (1995) J. Amer. Statist. Assoc. , vol.90 , pp. 952-956
    • Fung, W.K.1
  • 13
    • 12644316894 scopus 로고
    • Detecting influential observations for estimated probabilities in multiple discriminant analysis
    • W.K. Fung Detecting influential observations for estimated probabilities in multiple discriminant analysis Comput. Statist. Data Anal. 20 1995 557-568
    • (1995) Comput. Statist. Data Anal. , vol.20 , pp. 557-568
    • Fung, W.K.1
  • 14
    • 0030448963 scopus 로고    scopus 로고
    • Diagnosing influential observations in quadratic discriminant analysis
    • W.K. Fung Diagnosing influential observations in quadratic discriminant analysis Biometrics 52 1996 1235-1241
    • (1996) Biometrics , vol.52 , pp. 1235-1241
    • Fung, W.K.1
  • 15
    • 0011873006 scopus 로고    scopus 로고
    • The influence of an observation on the misclassification probability in multiple discriminant analysis
    • W.K. Fung The influence of an observation on the misclassification probability in multiple discriminant analysis Comm. Statist.-Theory Methods 25 1996 1917-1930
    • (1996) Comm. Statist.-Theory Methods , vol.25 , pp. 1917-1930
    • Fung, W.K.1
  • 18
    • 0011908457 scopus 로고    scopus 로고
    • High breakdown estimation for multiple populations with applications to discriminant analysis
    • X. He W.K. Fung High breakdown estimation for multiple populations with applications to discriminant analysis J. Multivariate Anal. 72-2 2000 151-162
    • (2000) J. Multivariate Anal. , vol.72-82 , pp. 151-162
    • He, X.1    Fung, W.K.2
  • 19
    • 26844563555 scopus 로고
    • Misclassification probabilities for the quadratic discriminant function
    • A.A. Houshmand, Misclassification probabilities for the quadratic discriminant function, Comm. Statist. Ser. B (1993) 81-98.
    • (1993) Comm. Statist. Ser. B , pp. 81-98
    • Houshmand, A.A.1
  • 22
    • 26844579537 scopus 로고    scopus 로고
    • Empirical comparison of the classification performance of robust linear and quadratic discriminant analysis
    • M. Hubert G. Pison A. Struyf S. Van Aelst (Es.) Birkhäuser Basel
    • K. Joossens C. Croux Empirical comparison of the classification performance of robust linear and quadratic discriminant analysis, in: M. Hubert G. Pison A. Struyf S. Van Aelst (eds.) Theory and Applications of Recent Robust Methods 2004 Birkhäuser Basel pp. 131-140
    • (2004) Theory and Applications of Recent Robust Methods , pp. 131-140
    • Joossens, K.1    Croux, C.2
  • 23
    • 0343028339 scopus 로고
    • Note on initial misclassification effects on the quadratic discriminant function
    • P.A. Lachenbruch Note on initial misclassification effects on the quadratic discriminant function Technometrics 21 1979 129-132
    • (1979) Technometrics , vol.21 , pp. 129-132
    • Lachenbruch, P.A.1
  • 25
    • 0001093355 scopus 로고    scopus 로고
    • Robust estimation of multivariate location and scatter
    • S. Kotz C. Read D. Banks (eds.) Wiley New York
    • R. Maronna V. Yohai Robust estimation of multivariate location and scatter, in: S. Kotz C. Read D. Banks (eds.) Encyclopedia of Statistical Sciences vol. 2 1998 Wiley New York pp. 589-596
    • (1998) Encyclopedia of Statistical Sciences , vol.2 , pp. 589-596
    • Maronna, R.1    Yohai, V.2
  • 26
    • 0036050635 scopus 로고    scopus 로고
    • Exact misclassification probabilities for plug-in normal quadratic discriminant functions II. The heterogeneous case
    • H.R. McFarland D. Richards Exact misclassification probabilities for plug-in normal quadratic discriminant functions II. The heterogeneous case J. Multivariate Anal. 82 2002 229-330
    • (2002) J. Multivariate Anal. , vol.82 , pp. 229-330
    • McFarland, H.R.1    Richards, D.2
  • 30
    • 0035637688 scopus 로고    scopus 로고
    • A unified approach to outliers influence and transformations in discriminant analysis
    • M. Riani A.C. Atkinson A unified approach to outliers influence and transformations in discriminant analysis J. Comput. Graph. Statist. 10-3 2001 513-544
    • (2001) J. Comput. Graph. Statist. , vol.10 , Issue.3 , pp. 513-544
    • Riani, M.1    Atkinson, A.C.2
  • 31
    • 0032680362 scopus 로고    scopus 로고
    • A fast algorithm for the minimum covariance determinant estimator
    • P.J. Rousseeuw K. Van Driessen A fast algorithm for the minimum covariance determinant estimator Technometrics 41 1999 212-223
    • (1999) Technometrics , vol.41 , pp. 212-223
    • Rousseeuw, P.J.1    Van Driessen, K.2
  • 32
    • 0000669245 scopus 로고
    • Studies in the robustness of multidimensional scaling: Perturbational analysis of classical scaling
    • R. Sibson Studies in the robustness of multidimensional scaling: perturbational analysis of classical scaling J. Roy. Statist. Soc. Ser. B 41 1979 217-229
    • (1979) J. Roy. Statist. Soc. Ser. B , vol.41 , pp. 217-229
    • Sibson, R.1
  • 33
    • 0040669621 scopus 로고
    • Recent advance in sensitivity analysis in multivariate statistical methods
    • Y. Tanaka Recent advance in sensitivity analysis in multivariate statistical methods J. Japan. Soc. Comput. Statist. 7 1994 1-25
    • (1994) J. Japan. Soc. Comput. Statist. , vol.7 , pp. 1-25
    • Tanaka, Y.1
  • 34
    • 26844448925 scopus 로고    scopus 로고
    • Sensitivity analysis in multivariate methods general procedure based on influence functions and its robust version
    • A. Prat (ed.) Physica-Verlag Heidelberg
    • Y. Tanaka T. Tarumi Sensitivity analysis in multivariate methods general procedure based on influence functions and its robust version, in: A. Prat (ed.) Compstat Proceedings in Computational Statistics 1996 Physica-Verlag Heidelberg pp. 185-186
    • (1996) Compstat Proceedings in Computational Statistics , pp. 185-186
    • Tanaka, Y.1    Tarumi, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.