메뉴 건너뛰기




Volumn 44, Issue 4, 2002, Pages 307-317

Robust estimates of location and dispersion for high-dimensional datasets

Author keywords

Data mining; Minimum covariance determinant; Robust covariances; Stahel Donoho estimate

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; DATA MINING; DATA STRUCTURES; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; RANDOM PROCESSES;

EID: 0036849459     PISSN: 00401706     EISSN: None     Source Type: Journal    
DOI: 10.1198/004017002188618509     Document Type: Article
Times cited : (314)

References (34)
  • 1
    • 0001573793 scopus 로고
    • On a robust correlation coefficient
    • Abdullah, M. B. (1990), "On a Robust Correlation Coefficient," The Statistician, 39, 455-460.
    • (1990) The Statistician , vol.39 , pp. 455-460
    • Abdullah, M.B.1
  • 2
    • 0002860364 scopus 로고    scopus 로고
    • Exact iterative computation of the multivariate minimum volume ellipsoid estimator with a branch and bound algorithm
    • ed. A. Prat, Heidelberg: Physica-Verlag
    • Agulló, J. (1996), "Exact Iterative Computation of the Multivariate Minimum Volume Ellipsoid Estimator With a Branch and Bound Algorithm," in Proceedings in Computational Statistics, ed. A. Prat, Heidelberg: Physica-Verlag, pp. 175-180.
    • (1996) Proceedings in Computational Statistics , pp. 175-180
    • Agulló, J.1
  • 3
    • 4644256188 scopus 로고    scopus 로고
    • The UCI KDD archive
    • University of California, Irvine, Dept. of Information and Computer Science
    • Bay, S. D. (1999), "The UCI KDD Archive" [http://kdd.ics.uci.edu], University of California, Irvine, Dept. of Information and Computer Science.
    • Bay, S.D.1
  • 4
    • 0000820228 scopus 로고
    • On some alternative estimates for shift in the p-variate one-sample problem
    • Bickel, P. J. (1964), "On Some Alternative Estimates for Shift in the p-Variate One-Sample Problem," Annals of Mathematical Statistics, 35, 1079-1090.
    • (1964) Annals of Mathematical Statistics , vol.35 , pp. 1079-1090
    • Bickel, P.J.1
  • 5
    • 0003914949 scopus 로고
    • Bushfire mapping using NOAA AVHRR data
    • technical report, CSIRO
    • Campbell, N. A. (1989), "Bushfire Mapping Using NOAA AVHRR Data," technical report, CSIRO.
    • (1989)
    • Campbell, N.A.1
  • 6
    • 0000202692 scopus 로고
    • Time-efficient algorithms for two highly robust estimators of scale
    • Croux, C., and Rousseeuw, P. J. (1992), "Time-Efficient Algorithms for Two Highly Robust Estimators of Scale," Computational Statistics, 2, 411-428.
    • (1992) Computational Statistics , vol.2 , pp. 411-428
    • Croux, C.1    Rousseeuw, P.J.2
  • 7
    • 0000789842 scopus 로고
    • Asymptotic behavior of S-estimates of multivariate location parameters and dispersion matrices
    • Davies, P. L. (1987), "Asymptotic Behavior of S-Estimates 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
  • 9
    • 0003967470 scopus 로고
    • Breakdown properties of multivariate location estimators
    • Ph.D. qualifying paper, Harvard University
    • Donoho, D. L. (1982), "Breakdown Properties of Multivariate Location Estimators," Ph.D. qualifying paper, Harvard University.
    • (1982)
    • Donoho, D.L.1
  • 10
    • 0033211964 scopus 로고    scopus 로고
    • Robustness properties of dispersion estimators
    • Genton, M. G., and Ma, Y. (1999), "Robustness Properties of Dispersion Estimators," Statistics and Probability Letters, 44, 343-350.
    • (1999) Statistics and Probability Letters , vol.44 , pp. 343-350
    • Genton, M.G.1    Ma, Y.2
  • 11
    • 0002954125 scopus 로고
    • Robust estimates, residuals, and outlier detection with multiresponse data
    • Gnanadesikan, R., and Kettenring, J. R. (1972), "Robust Estimates, Residuals, and Outlier Detection With Multiresponse Data," Biometrics, 28, 81-124.
    • (1972) Biometrics , vol.28 , pp. 81-124
    • Gnanadesikan, R.1    Kettenring, J.R.2
  • 13
    • 0000559699 scopus 로고
    • The feasible solution algorithm for the minimum covariance determinant estimator in multivariate data
    • Hawkins, D. M. (1994), "The Feasible Solution Algorithm for the Minimum Covariance Determinant Estimator in Multivariate Data," Computational Statistics and Data Analysis, 17, 197-210.
    • (1994) Computational Statistics and Data Analysis , vol.17 , pp. 197-210
    • Hawkins, D.M.1
  • 15
    • 84988090412 scopus 로고
    • Multivariate τ-estimators for location and scatter
    • Lopuhaä, H. P. (1991), "Multivariate τ-Estimators for Location and Scatter," Canadian Journal of Statistics, 19, 307-321.
    • (1991) Canadian Journal of Statistics , vol.19 , pp. 307-321
    • Lopuhaä, H.P.1
  • 16
    • 0035402338 scopus 로고    scopus 로고
    • High robust estimation of dispersion matrices
    • Ma, Y., and Genton, M. G. (2001), "High Robust Estimation of Dispersion Matrices," Journal of Multivariate Analysis, 78, 11-36.
    • (2001) Journal of Multivariate Analysis , vol.78 , pp. 11-36
    • Ma, Y.1    Genton, M.G.2
  • 17
    • 0002063041 scopus 로고
    • Robust M-estimates of multivariate location and scatter
    • Maronna, R. A. (1976), "Robust M-Estimates of Multivariate Location and Scatter," The Annals of Statistics, 4, 51-56.
    • (1976) The Annals of Statistics , vol.4 , pp. 51-56
    • Maronna, R.A.1
  • 18
    • 38249012185 scopus 로고
    • Bias-robust estimators of multivariate scatter based on projections
    • Maronna, R. A., Stahel, W. A., and Yohai, V. J. (1992), "Bias-Robust Estimators of Multivariate Scatter Based on Projections," Journal of Multivariate Analysis, 42, 141-161.
    • (1992) Journal of Multivariate Analysis , vol.42 , pp. 141-161
    • Maronna, R.A.1    Stahel, W.A.2    Yohai, V.J.3
  • 20
    • 0035418979 scopus 로고    scopus 로고
    • Multivariate outlier detection and robust covariance matrix estimation
    • Peña, D., and Prieto, F. J. (2001), "Multivariate Outlier Detection and Robust Covariance Matrix Estimation," Technometrics, 43, 286-301.
    • (2001) Technometrics , vol.43 , pp. 286-301
    • Peña, D.1    Prieto, F.J.2
  • 23
    • 0002564033 scopus 로고
    • Multivariate estimation with high breakdown point
    • eds. G. S. Maddala and C. R. Rao. Amsterdam: Elsevier
    • ____ (1985), "Multivariate Estimation With High Breakdown Point," in Mathematical Statistics and Aplications, Vol. B, eds. G. S. Maddala and C. R. Rao. Amsterdam: Elsevier, pp. 101-121.
    • (1985) Mathematical Statistics and Aplications , vol.B , pp. 101-121
    • Rousseeuw, P.J.1
  • 26
    • 0032680362 scopus 로고    scopus 로고
    • A fast algorithm for the minimum covariance determinant estimator
    • Rousseeuw, P. J., and van Driesen, K. (1999), "A Fast Algorithm for the Minimum Covariance Determinant Estimator," Technometrics, 41, 212-223.
    • (1999) Technometrics , vol.41 , pp. 212-223
    • Rousseeuw, P.J.1    Van Driesen, K.2
  • 27
    • 0001092634 scopus 로고
    • Computing S-estimators for regression and multivariate location/dispersion
    • Ruppert, D. (1992), "Computing S-Estimators for Regression and Multivariate Location/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
  • 30
    • 0003926139 scopus 로고
    • Breakdown of covariance estimators
    • Research Report 31, Fachgruppe für Statistik, ETH Zürich
    • Stahel, W. A. (1981), "Breakdown of Covariance Estimators," Research Report 31, Fachgruppe für Statistik, ETH Zürich.
    • (1981)
    • Stahel, W.A.1
  • 32
    • 21844492457 scopus 로고
    • Computable robust estimation of multivariate location and shape in high dimension using compound estimators
    • ____ (1994), "Computable Robust Estimation of Multivariate Location and Shape in High Dimension Using Compound Estimators," Journal of the American Statistical Association, 89, 888-896.
    • (1994) Journal of the American Statistical Association , vol.89 , pp. 888-896
    • Woodruff, D.L.1    Rocke, D.M.2
  • 34
    • 84950426631 scopus 로고
    • High breakdown point estimates of regression by means of the minimization of an efficient scale
    • Yohai, V. J., and Zamar, R. (1988), "High Breakdown Point Estimates of Regression by Means of the Minimization of an Efficient Scale," Journal of the American Statistical Association, 86, 403-413.
    • (1988) Journal of the American Statistical Association , vol.86 , pp. 403-413
    • Yohai, V.J.1    Zamar, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.