메뉴 건너뛰기




Volumn 98, Issue 8, 2007, Pages 1611-1629

Symmetrised M-estimators of multivariate scatter

Author keywords

Efficiency; Elliptical distribution; Influence function; M estimator; Robustness; Scatter matrix

Indexed keywords


EID: 34548125236     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/j.jmva.2007.06.005     Document Type: Article
Times cited : (34)

References (22)
  • 1
    • 21844489185 scopus 로고
    • Estimators related to U-processes with applications to multivariate medians: asymptotic normality
    • Arcones M.A., Chen Z., and Gine E. Estimators related to U-processes with applications to multivariate medians: asymptotic normality. Ann. Statist. 22 (1994) 1460-1477
    • (1994) Ann. Statist. , vol.22 , pp. 1460-1477
    • Arcones, M.A.1    Chen, Z.2    Gine, E.3
  • 3
    • 7744247580 scopus 로고    scopus 로고
    • On Tyler's M-functional of scatter in high dimension
    • Dümbgen L. On Tyler's M-functional of scatter in high dimension. Ann. Inst. Statist. Math. 50 (1998) 471-491
    • (1998) Ann. Inst. Statist. Math. , vol.50 , pp. 471-491
    • Dümbgen, L.1
  • 4
    • 19744368600 scopus 로고    scopus 로고
    • On the breakdown properties of some multivariate M-functionals
    • Dümbgen L., and Tyler D. On the breakdown properties of some multivariate M-functionals. Scand. J. Statist. 32 (2005) 247-264
    • (2005) Scand. J. Statist. , vol.32 , pp. 247-264
    • Dümbgen, L.1    Tyler, D.2
  • 6
    • 24944574513 scopus 로고    scopus 로고
    • A practical affine equivariant multivariate median
    • Hettmansperger T.P., and Randles R. A practical affine equivariant multivariate median. Biometrika 89 (2002) 851-860
    • (2002) Biometrika , vol.89 , pp. 851-860
    • Hettmansperger, T.P.1    Randles, R.2
  • 10
    • 0001355237 scopus 로고
    • Redescending M-estimates of multivariate location and scatter
    • Kent J.T., and Tyler D.E. Redescending M-estimates of multivariate location and scatter. Ann. Statist. 19 (1991) 2102-2119
    • (1991) Ann. Statist. , vol.19 , pp. 2102-2119
    • Kent, J.T.1    Tyler, D.E.2
  • 11
    • 0030516417 scopus 로고    scopus 로고
    • Constrained M-estimation for multivariate location and scatter
    • Kent J.T., and Tyler D.E. Constrained M-estimation for multivariate location and scatter. Ann. Statist. 24 (1996) 1346-1370
    • (1996) Ann. Statist. , vol.24 , pp. 1346-1370
    • Kent, J.T.1    Tyler, D.E.2
  • 12
    • 0035615174 scopus 로고    scopus 로고
    • Regularity and uniqueness for constrained M-estimates and redescending M-estimates
    • Kent J.T., and Tyler D.E. Regularity and uniqueness for constrained M-estimates and redescending M-estimates. Ann. Statist. 29 (2001) 252-265
    • (2001) Ann. Statist. , vol.29 , pp. 252-265
    • Kent, J.T.1    Tyler, D.E.2
  • 14
    • 0002063041 scopus 로고
    • Robust M-estimators of multivariate location and scatter
    • Maronna R.A. 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
  • 15
    • 34548140245 scopus 로고    scopus 로고
    • Scatter matrices and independent component analysis
    • Oja H., Sirkiä S., and Eriksson J. Scatter matrices and independent component analysis. Austrian J. Statist. 35 (2006) 175-189
    • (2006) Austrian J. Statist. , vol.35 , pp. 175-189
    • Oja, H.1    Sirkiä, S.2    Eriksson, J.3
  • 16
    • 34548140246 scopus 로고    scopus 로고
    • E. Ollila, T.P. Hettmansperger, H. Oja, Affine equivariant multivariate sign methods, 2003, unpublished manuscript.
  • 18
    • 0034237950 scopus 로고    scopus 로고
    • On the uniqueness of S-functionals and M-functionals under nonelliptical distributions
    • Tatsuoka K.S., and Tyler D.E. On the uniqueness of S-functionals and M-functionals under nonelliptical distributions. Ann. Statist. 28 (2000) 1219-1243
    • (2000) Ann. Statist. , vol.28 , pp. 1219-1243
    • Tatsuoka, K.S.1    Tyler, D.E.2
  • 19
    • 0001584323 scopus 로고
    • Radial estimates and the test for sphericity
    • Tyler D.E. Radial estimates and the test for sphericity. Biometrika 69 (1982) 429-436
    • (1982) Biometrika , vol.69 , pp. 429-436
    • Tyler, D.E.1
  • 20
    • 0001076947 scopus 로고
    • Robustness and efficiency properties of scatter matrices
    • Tyler D.E. Robustness and efficiency properties of scatter matrices. Biometrika 70 (1983) 411-420
    • (1983) Biometrika , vol.70 , pp. 411-420
    • Tyler, D.E.1
  • 21
    • 34548132531 scopus 로고    scopus 로고
    • D.E. Tyler, Breakdown properties of the M-estimators of multivariate scatter, Report, Department of Statistics, Rutgers University, 1986.
  • 22
    • 0000342767 scopus 로고
    • A distribution-free M-estimator of multivariate scatter
    • Tyler D.E. A distribution-free M-estimator of multivariate scatter. Ann. Statist. 15 (1987) 234-251
    • (1987) Ann. Statist. , vol.15 , pp. 234-251
    • Tyler, D.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.