메뉴 건너뛰기




Volumn 27, Issue 3, 2012, Pages 393-410

A comparison of algorithms for the multivariate L 1-median

Author keywords

Algorithm; Multivariate median; Optimization; Robustness

Indexed keywords


EID: 84864383844     PISSN: 09434062     EISSN: 16139658     Source Type: Journal    
DOI: 10.1007/s00180-011-0262-4     Document Type: Article
Times cited : (46)

References (20)
  • 1
    • 0013454745 scopus 로고
    • As 143: the mediancentre
    • Bedall F, Zimmermann H (1979) As 143: the mediancentre. Appl Stat 28: 325-328.
    • (1979) Appl Stat , vol.28 , pp. 325-328
    • Bedall, F.1    Zimmermann, H.2
  • 2
    • 0030540155 scopus 로고    scopus 로고
    • On a geometric notion of quantiles for multivariate data
    • Chaudhuri P (1996) On a geometric notion of quantiles for multivariate data. J Am Statist Assoc 91: 862-872.
    • (1996) J Am Statist Assoc , vol.91 , pp. 862-872
    • Chaudhuri, P.1
  • 3
    • 18744376591 scopus 로고    scopus 로고
    • High breakdown estimators for principal components: the projection- pursuit approach revisited
    • Croux C, Ruiz-Gazen A (2005) High breakdown estimators for principal components: the projection- pursuit approach revisited. J Multivar Anal 95: 206-226.
    • (2005) J Multivar Anal , vol.95 , pp. 206-226
    • Croux, C.1    Ruiz-Gazen, A.2
  • 4
    • 34248577801 scopus 로고    scopus 로고
    • Algorithms for projection-pursuit robust principal component analysis
    • Croux C, Filzmoser P, Oliveira M (2007) Algorithms for projection-pursuit robust principal component analysis. Chemometr Intell Lab Syst 87: 218-225.
    • (2007) Chemometr Intell Lab Syst , vol.87 , pp. 218-225
    • Croux, C.1    Filzmoser, P.2    Oliveira, M.3
  • 5
    • 77955357021 scopus 로고    scopus 로고
    • Detecting influential observations in Kernel PCA
    • Debruyne M, Hubert M, van Horebeek J (2010) Detecting influential observations in Kernel PCA. Comput Stat Data Anal 54(12): 3007-3019.
    • (2010) Comput Stat Data Anal , vol.54 , Issue.12 , pp. 3007-3019
    • Debruyne, M.1    Hubert, M.2    van Horebeek, J.3
  • 7
    • 0000615669 scopus 로고
    • Function minimization by conjugate gradients
    • Fletcher R, Reeves C (1964) Function minimization by conjugate gradients. Comput J 7: 148-154.
    • (1964) Comput J , vol.7 , pp. 148-154
    • Fletcher, R.1    Reeves, C.2
  • 8
    • 50949086005 scopus 로고    scopus 로고
    • Robust functional estimation using the median and spherical principal components
    • Gervini D (2008) Robust functional estimation using the median and spherical principal components. Biometrika 95: 587-600.
    • (2008) Biometrika , vol.95 , pp. 587-600
    • Gervini, D.1
  • 9
    • 84864385213 scopus 로고
    • As 78: the mediancentre
    • Gower J (1974) As 78: the mediancentre. J R Statist Soc 23: 466-470.
    • (1974) J R Statist Soc , vol.23 , pp. 466-470
    • Gower, J.1
  • 10
    • 0037681087 scopus 로고
    • Generalizing univariate signed rank statistics for testing and estimating a multivariate location parameter
    • Hössjer O, Croux C (1995) Generalizing univariate signed rank statistics for testing and estimating a multivariate location parameter. Nonparametr Statist 4: 293-308.
    • (1995) Nonparametr Statist , vol.4 , pp. 293-308
    • Hössjer, O.1    Croux, C.2
  • 11
    • 0001352378 scopus 로고
    • Breakdown points of affine equivariant estimators of multivariate location and covariance matrices
    • Lopuhaä H, Rousseeuw P (1991) Breakdown points of affine equivariant estimators of multivariate location and covariance matrices. Ann Stat 19(1): 229-248.
    • (1991) Ann Stat , vol.19 , Issue.1 , pp. 229-248
    • Lopuhaä, H.1    Rousseeuw, P.2
  • 12
    • 0000238336 scopus 로고
    • A simplex algorithm for function minimization
    • Nelder J, Mead R (1965) A simplex algorithm for function minimization. Comput J 7: 308-313.
    • (1965) Comput J , vol.7 , pp. 308-313
    • Nelder, J.1    Mead, R.2
  • 14
    • 79951480123 scopus 로고    scopus 로고
    • R Development Core Team, R Foundation for Statistical Computing, Vienna, Austria, ISBN 3-900051-07-0
    • R Development Core Team (2010) R: a Language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria, http://www. R-project. org, ISBN 3-900051-07-0.
    • (2010) R: A Language and environment for statistical computing
  • 16
    • 0022205528 scopus 로고
    • A modular system of algorithms for unconstrained minimization
    • Schnabel R, Koontz J, Weiss B (1985) A modular system of algorithms for unconstrained minimization. ACM Trans Math Softw 11: 419-440.
    • (1985) ACM Trans Math Softw , vol.11 , pp. 419-440
    • Schnabel, R.1    Koontz, J.2    Weiss, B.3
  • 20
    • 0000281286 scopus 로고
    • Sur le point pour lequel la somme des distances de n points donnés est minimum
    • Weiszfeld E (1937) Sur le point pour lequel la somme des distances de n points donnés est minimum. Tôhoku Math J 43: 355-386.
    • (1937) Tôhoku Math J , vol.43 , pp. 355-386
    • Weiszfeld, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.