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Volumn 60, Issue 4, 2002, Pages 425-435

The influence function of the Stahel-Donoho estimator of multivariate location and scatter

Author keywords

Asymptotic relative efficiency; Gross error sensitivity; Local robustness; Reweighted estimators

Indexed keywords


EID: 0037114404     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(02)00315-2     Document Type: Article
Times cited : (19)

References (11)
  • 2
    • 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. Ann. Statist. 15, 1269-1292.
    • (1987) Ann. Statist , vol.15 , pp. 1269-1292
    • Davies, P.L.1
  • 3
    • 0003967470 scopus 로고
    • Breakdown properties of multivariate location estimators
    • Ph.D. Qualifying Paper, Department of Statistics, Harvard University
    • Donoho, D.L., 1982. Breakdown properties of multivariate location estimators. Ph.D. Qualifying Paper, Department of Statistics, Harvard University.
    • (1982)
    • Donoho, D.L.1
  • 4
    • 0011337192 scopus 로고    scopus 로고
    • A robust and efficient adaptive reweighted estimator of multivariate location and scatter
    • to appear
    • Gervini, D., 2002. A robust and efficient adaptive reweighted estimator of multivariate location and scatter. J. Multivar. Anal., to appear.
    • (2002) J. Multivar. Anal
    • Gervini, D.1
  • 5
    • 0003841907 scopus 로고
    • Robust Statistics: The Approach Based on Influence Functions
    • Wiley, New York
    • Hampel, F.R., Ronchetti, E.M., Rousseeuw, P.J., Stahel, W.A., 1986. Robust Statistics: The Approach Based on Influence Functions. Wiley, New York.
    • (1986)
    • Hampel, F.R.1    Ronchetti, E.M.2    Rousseeuw, P.J.3    Stahel, W.A.4
  • 6
    • 0030516417 scopus 로고    scopus 로고
    • Constrained M-estimation for multivariate location and scatter
    • Kent, J.T., Tyler, D.E., 1997. Constrained M-estimation for multivariate location and scatter. Ann. Statist. 24, 1346-1370.
    • (1997) Ann. Statist , vol.24 , pp. 1346-1370
    • Kent, J.T.1    Tyler, D.E.2
  • 7
    • 0033233738 scopus 로고    scopus 로고
    • Asymptotics of reweighted estimators of multivariate location and scatter
    • Lopuhaä, H.P., 1999. Asymptotics of reweighted estimators of multivariate location and scatter. Ann. Statist. 27, 1638-1665.
    • (1999) Ann. Statist , vol.27 , pp. 1638-1665
    • Lopuhaä, H.P.1
  • 8
    • 0344133271 scopus 로고
    • The behavior of the Stahel-Donoho robust multivariate estimator
    • Maronna, R.A., Yohai, V.J., 1995. The behavior of the Stahel-Donoho robust multivariate estimator. J. Amer. Statist. Assoc. 90, 330-341.
    • (1995) J. Amer. Statist. Assoc , vol.90 , pp. 330-341
    • Maronna, R.A.1    Yohai, V.J.2
  • 9
    • 0001093355 scopus 로고    scopus 로고
    • Robust estimation of multivariate location and scatter
    • Kotz, S., Johnson, N.L. (Eds.), Update Wiley, New York
    • Maronna, R.A., Yohai, V.J., 1998. Robust estimation of multivariate location and scatter. In: Kotz, S., Johnson, N.L. (Eds.), Encyclopedia of Statistical Sciences, Update Vol. 2. Wiley, New York, pp. 589-596.
    • (1998) Encyclopedia of Statistical Sciences , vol.2 , pp. 589-596
    • Maronna, R.A.1    Yohai, V.J.2
  • 10
    • 0003501487 scopus 로고
    • Robust estimation: Infinitesimal optimality and covariance matrix estimators
    • Ph.D. Thesis, ETH, Zurich
    • Stahel, W.A., 1981. Robust estimation: infinitesimal optimality and covariance matrix estimators. Ph.D. Thesis, ETH, Zurich.
    • (1981)
    • Stahel, W.A.1
  • 11
    • 0011374802 scopus 로고    scopus 로고
    • On the Stahel-Donoho estimator and depth-weighted means of multivariate data
    • Unpublished manuscript
    • Zuo, Y., Cui, H., He, X., 2002. On the Stahel-Donoho estimator and depth-weighted means of multivariate data. Unpublished manuscript.
    • (2002)
    • Zuo, Y.1    Cui, H.2    He, X.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.