caa a22 4500 475793153 CHVBK 20180406123716.0 cr unu---uuuuu 170329e20000901xx s 000 0 eng 10.1007/s001840000053 doi (NATIONALLICENCE)springer-10.1007/s001840000053 Zuo Yijun Department of Mathematics, Arizona State University, Tempe, AZ 85287-1804, USA (E-mail: yijun.zuo@asu.edu) URL: http://math.la.asu.edu/∼zuoyijun, US aut A note on finite sample breakdown points of projection based multivariate location and scatter statistics [Elektronische Daten] [Yijun Zuo] Abstract.: In this note, general results of finite sample breakdown point are obtained for two classes of projection based location and scatter statistics: the Stahel-Donoho statistics and the Maronna-Yohai statistics. It is shown that these projection based location and scatter statistics can achieve the maximum breakdown point of affine equivariant multivariate location and scatter statistics. General relationships between the finite sample breakdown point of these statistics and the uniform finite sample breakdown point of the sample median and a modified sample median absolute deviation are formally established. Springer-Verlag Berlin Heidelberg, 2000 Key words: Breakdown point nationallicence location and scatter statistics nationallicence median absolute deviation nationallicence affine equivariance nationallicence projection pursuit nationallicence https://doi.org/10.1007/s001840000053 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s001840000053 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Zuo Yijun Department of Mathematics, Arizona State University, Tempe, AZ 85287-1804, USA (E-mail: yijun.zuo@asu.edu) URL: http://math.la.asu.edu/∼zuoyijun, US aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer