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Volumn 31, Issue 5, 2003, Pages 1439-1459

A scatter matrix estimate based on the zonotope

Author keywords

Interdirection; Multivariate mean deviation; Multivariate median; Multivariate signs; Parallelotope; Scatter matrix; Sign covariance matrix; Zonoid; Zonoid covariance matrix; Zonotope

Indexed keywords


EID: 10744230913     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1065705114     Document Type: Article
Times cited : (7)

References (19)
  • 1
    • 21844489185 scopus 로고
    • Estimators related to U-processes with applications to multivariate medians: Asymptotic normality
    • ARCONES, M. A., CHEN, Z. and GINÉ, E. (1994). Estimators related to U-processes with applications to multivariate medians: Asymptotic normality. Ann. Statist. 22 1460-1477.
    • (1994) Ann. Statist. , vol.22 , pp. 1460-1477
    • Arcones, M.A.1    Chen, Z.2    Giné, E.3
  • 2
    • 0001088628 scopus 로고    scopus 로고
    • Principal component analysis based on robust estimators of the covariance or correlation matrix: Influence functions and efficiencies
    • CROUX, C. and HAESBROECK, G. (2000). Principal component analysis based on robust estimators of the covariance or correlation matrix: Influence functions and efficiencies. Biometrika 87 603-618.
    • (2000) Biometrika , vol.87 , pp. 603-618
    • Croux, C.1    Haesbroeck, G.2
  • 3
    • 0242420673 scopus 로고    scopus 로고
    • Sign and rank covariance matrices: Statistical properties and application to principal component analysis
    • Y. Dodge, ed. Birkhäuser, Basel
    • 1 Norm and Related Methods (Y. Dodge, ed.) 257-270. Birkhäuser, Basel.
    • (2002) 1 Norm and Related Methods , pp. 257-270
    • Croux, C.1    Ollila, E.2    Oja, H.3
  • 5
    • 0036392344 scopus 로고    scopus 로고
    • Optimal tests for multivariate location based on interdirections and pseudo-Mahalanobis ranks
    • HALLIN, M. and PAINDAVEINE, D. (2002). Optimal tests for multivariate location based on interdirections and pseudo-Mahalanobis ranks. Ann. Statist. 30 1103-1133.
    • (2002) Ann. Statist. , vol.30 , pp. 1103-1133
    • Hallin, M.1    Paindaveine, D.2
  • 8
    • 0031482783 scopus 로고    scopus 로고
    • Zonoid trimming for multivariate distributions
    • KOSHEVOY, G. and MOSLER, K. (1997b). Zonoid trimming for multivariate distributions. Ann. Statist. 25 1998-2017.
    • (1997) Ann. Statist. , vol.25 , pp. 1998-2017
    • Koshevoy, G.1    Mosler, K.2
  • 9
    • 0007773105 scopus 로고    scopus 로고
    • Lift zonoids, random convex hulls and the variability of random vectors
    • KOSHEVOY, G. and MOSLER, K. (1998). Lift zonoids, random convex hulls and the variability of random vectors. Bernoulli 4 377-399.
    • (1998) Bernoulli , vol.4 , pp. 377-399
    • Koshevoy, G.1    Mosler, K.2
  • 10
    • 0038334645 scopus 로고    scopus 로고
    • Multivariate Dispersion, Central Regions, and Depth: The Lift Zonoid Approach
    • Springer, New York
    • MOSLER, K. (2002). Multivariate Dispersion, Central Regions, and Depth: The Lift Zonoid Approach. Lecture Notes in Statist. 165. Springer, New York.
    • (2002) Lecture Notes in Statist , vol.165
    • Mosler, K.1
  • 11
    • 0000107573 scopus 로고
    • Descriptive statistics for multivariate distributions
    • OJA, H. (1983). Descriptive statistics for multivariate distributions. Statist. Probab. Lett. 1 327-332.
    • (1983) Statist. Probab. Lett. , vol.1 , pp. 327-332
    • Oja, H.1
  • 12
    • 0033196316 scopus 로고    scopus 로고
    • Affine invariant multivariate sign and rank tests and corresponding estimates: A review
    • OJA, H. (1999). Affine invariant multivariate sign and rank tests and corresponding estimates: A review. Scand. J. Statist. 26 319-343.
    • (1999) Scand. J. Statist. , vol.26 , pp. 319-343
    • Oja, H.1
  • 16
    • 0001473591 scopus 로고
    • A multivariate signed-rank test for the one-sample location problem
    • PETERS, D. and RANDLES, R. H. (1990). A multivariate signed-rank test for the one-sample location problem. J. Amer. Statist. Assoc. 85 552-557.
    • (1990) J. Amer. Statist. Assoc. , vol.85 , pp. 552-557
    • Peters, D.1    Randles, R.H.2
  • 17
    • 53549112637 scopus 로고
    • A distribution-free multivariate sign test based on interdirections
    • RANDLES, R. H. (1989). A distribution-free multivariate sign test based on interdirections. J. Amer. Statist. Assoc. 84 1045-1050.
    • (1989) J. Amer. Statist. Assoc. , vol.84 , pp. 1045-1050
    • Randles, R.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.