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We propose halfspace depth concepts for scatter, concentration and shape matrices.
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[author] Hallin, MarcM., Paindaveine, DavyD. and Šiman, M.M. (2010). Multivariate quantiles and multiple-output regression quantiles: From L 1 L_{1} optimization to halfspace depth. Ann. Statist. 38 635-669
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[author] Chen, MengjieM., Gao, ChaoC. and Ren, ZhaoZ. (2017). Robust covariance and scatter matrix estimation under Huber’s contamination model. Ann. Statist., to appear
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