{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,29]],"date-time":"2025-09-29T03:44:42Z","timestamp":1759117482089,"version":"3.32.0"},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2006,11,14]],"date-time":"2006-11-14T00:00:00Z","timestamp":1163462400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Stat. Meth. & Appl."],"published-print":{"date-parts":[[2007,1,30]]},"DOI":"10.1007\/s10260-006-0030-8","type":"journal-article","created":{"date-parts":[[2006,11,13]],"date-time":"2006-11-13T17:13:06Z","timestamp":1163437986000},"page":"381-393","source":"Crossref","is-referenced-by-count":11,"title":["An L1-type estimator of multivariate location and shape"],"prefix":"10.1007","volume":"15","author":[{"given":"Ella","family":"Roelant","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stefan Van","family":"Aelst","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2006,11,14]]},"reference":[{"key":"30_CR1","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1111\/j.2517-6161.1983.tb01226.x","volume":"45","author":"BM Brown","year":"1983","unstructured":"Brown BM (1983) Statistical uses of the spatial median. J Royal Statist Soc Ser B 45:25\u201330","journal-title":"J Royal Statist Soc Ser B"},{"key":"30_CR2","doi-asserted-by":"crossref","first-page":"2539","DOI":"10.1090\/S0002-9939-96-03657-X","volume":"124","author":"B Chakraborty","year":"1996","unstructured":"Chakraborty B, Chaudhuri P (1996) On a transformation and re-transformation technique for constructing an affine equivariant multivariate median. Proc Am Math Soc 124:2539\u20132547","journal-title":"Proc Am Math Soc"},{"key":"30_CR3","doi-asserted-by":"crossref","first-page":"473","DOI":"10.2307\/3316042","volume":"29","author":"C Croux","year":"2001","unstructured":"Croux C, Dehon C (2001) Robust linear discriminant analysis using S-estimators. Can J Statist 29:473\u2013493","journal-title":"Can J Statist"},{"key":"30_CR4","doi-asserted-by":"crossref","first-page":"603","DOI":"10.1093\/biomet\/87.3.603","volume":"87","author":"C Croux","year":"2000","unstructured":"Croux C, Haesbroeck G (2000) Principal component analysis based on robust estimators of the covariance or correlation matrix: influence functions and efficiencies. Biometrika 87:603\u2013618","journal-title":"Biometrika"},{"key":"30_CR5","doi-asserted-by":"crossref","first-page":"1269","DOI":"10.1214\/aos\/1176350505","volume":"15","author":"PL Davies","year":"1987","unstructured":"Davies PL (1987) Asymptotic behaviour of S-estimates of multivariate location parameters and dispersion matrices. Ann Statist 15:1269\u20131292","journal-title":"Ann Statist"},{"key":"30_CR6","first-page":"466","volume":"23","author":"JC Gower","year":"1974","unstructured":"Gower JC (1974) The mediancentre. J Royal Statist Soc Ser C Appl Statist 23:466\u2013470","journal-title":"J Royal Statist Soc Ser C Appl Statist"},{"key":"30_CR7","doi-asserted-by":"crossref","first-page":"1457","DOI":"10.1214\/aos\/1032298277","volume":"24","author":"R Gr\u00fcbel","year":"1996","unstructured":"Gr\u00fcbel R (1996) Orthogonalization of multivariate location estimators: the orthomedian. Ann Statist 24:1457\u20131473","journal-title":"Ann Statist"},{"key":"30_CR8","volume-title":"Robust statistics: the approach based on influence functions","author":"FR Hampel","year":"1986","unstructured":"Hampel FR, Ronchetti EM, Rousseeuw PJ, Stahel WA (1986) Robust statistics: the approach based on influence functions. Wiley, New York"},{"key":"30_CR9","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1111\/j.2517-6161.1994.tb01973.x","volume":"56","author":"TP Hettmansperger","year":"1994","unstructured":"Hettmansperger TP, Nyblom J, Oja H (1994) Affine invariant multivariate one-sample sign tests. J Royal Statist Soc Ser B 56:221\u2013234","journal-title":"J Royal Statist Soc Ser B"},{"key":"30_CR10","doi-asserted-by":"crossref","first-page":"851","DOI":"10.1093\/biomet\/89.4.851","volume":"89","author":"TP Hettmansperger","year":"2002","unstructured":"Hettmansperger TP, Randles RH (2002) A practical affine equivariant multivariate median. Biometrika 89:851\u2013860","journal-title":"Biometrika"},{"key":"30_CR11","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1214\/aos\/1176347507","volume":"18","author":"RY Liu","year":"1990","unstructured":"Liu RY (1990) On a notion of data depth based on random simplices. Ann Statist 18:405\u2013414","journal-title":"Ann Statist"},{"key":"30_CR12","doi-asserted-by":"crossref","first-page":"1662","DOI":"10.1214\/aos\/1176347386","volume":"17","author":"HP Lopuha\u00e4","year":"1989","unstructured":"Lopuha\u00e4 HP (1989) On the relation between S-estimators and M-estimators of multivariate location and covariance. Ann Statist 17:1662\u20131683","journal-title":"Ann Statist"},{"key":"30_CR13","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1214\/aos\/1176347978","volume":"19","author":"HP Lopuha\u00e4","year":"1991","unstructured":"Lopuha\u00e4 HP, Rousseeuw PJ (1991) Breakdown points of affine equivariant estimators of multivariate location and covariance matrices. Ann Statist 19:229\u2013248","journal-title":"Ann Statist"},{"key":"30_CR14","doi-asserted-by":"crossref","first-page":"565","DOI":"10.1111\/j.2517-6161.1995.tb02048.x","volume":"57","author":"A Niinimaa","year":"1995","unstructured":"Niinimaa A, Oja H (1995) On the influence functions of certain bivariate medians. J Royal Statist Soc Ser B 57:565\u2013574","journal-title":"J Royal Statist Soc Ser B"},{"key":"30_CR15","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1016\/0167-7152(83)90054-8","volume":"1","author":"H Oja","year":"1983","unstructured":"Oja H (1983) Descriptive statistics for multivariate distributions. Statist Prob Lett 1:327\u2013332","journal-title":"Statist Prob Lett"},{"key":"30_CR16","doi-asserted-by":"crossref","first-page":"447","DOI":"10.1111\/1467-9868.00344","volume":"64","author":"E Ollila","year":"2002","unstructured":"Ollila E, Oja H, Hettmansperger TP (2002) Estimates of regression coefficients based on the sign covariance matrix. J Royal Statist Soc Ser B 64:447\u2013466","journal-title":"J Royal Statist Soc Ser B"},{"key":"30_CR17","doi-asserted-by":"crossref","first-page":"871","DOI":"10.1080\/01621459.1984.10477105","volume":"79","author":"PJ Rousseeuw","year":"1984","unstructured":"Rousseeuw PJ (1984) Least median of squares regression. J Am Statist Assoc 79:871\u2013880","journal-title":"J Am Statist Assoc"},{"key":"30_CR18","doi-asserted-by":"crossref","first-page":"212","DOI":"10.1080\/00401706.1999.10485670","volume":"41","author":"PJ Rousseeuw","year":"1999","unstructured":"Rousseeuw PJ, Van Driessen K (1999) A fast algorithm for the minimum covariance determinant estimator. Technometrics 41:212\u2013223","journal-title":"Technometrics"},{"key":"30_CR19","doi-asserted-by":"crossref","first-page":"263","DOI":"10.2307\/1403809","volume":"58","author":"CG Small","year":"1990","unstructured":"Small CG (1990) A survey of multidimensional medians. Int Statist Rev 58:263\u2013277","journal-title":"Int Statist Rev"},{"key":"30_CR20","first-page":"523","volume":"2","author":"JW Tukey","year":"1975","unstructured":"Tukey JW (1975) Mathematics and the picturing of data. Proc Int Cong Math 2:523\u2013531","journal-title":"Proc Int Cong Math"},{"key":"30_CR21","first-page":"981","volume":"15","author":"S Van Aelst","year":"2005","unstructured":"Van Aelst S, Willems G (2005) Multivariate regression S-estimators for robust estimation and inference. Statist Sin 15:981\u20131001","journal-title":"Statist Sin"},{"key":"30_CR22","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511802256","volume-title":"Asymptotic Statistics","author":"AW Vaart van der","year":"1998","unstructured":"van der Vaart AW (1998) Asymptotic Statistics. Cambridge University Press, Cambridge"}],"container-title":["Statistical Methods and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10260-006-0030-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10260-006-0030-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10260-006-0030-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,11]],"date-time":"2025-01-11T22:53:39Z","timestamp":1736636019000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10260-006-0030-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,11,14]]},"references-count":22,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2007,1,30]]}},"alternative-id":["30"],"URL":"https:\/\/doi.org\/10.1007\/s10260-006-0030-8","relation":{},"ISSN":["1618-2510","1613-981X"],"issn-type":[{"type":"print","value":"1618-2510"},{"type":"electronic","value":"1613-981X"}],"subject":[],"published":{"date-parts":[[2006,11,14]]}}}