eprintid: 21425 rev_number: 13 eprint_status: archive userid: 2326 dir: disk0/00/02/14/25 datestamp: 2016-07-01 07:13:32 lastmod: 2016-07-25 13:24:27 status_changed: 2016-07-01 07:13:32 type: workingPaper metadata_visibility: show creators_name: Dümbgen, Lutz creators_name: Tyler, David title: On the Breakdown Properties of Two M-Functionals of Scatter subjects: ddc-510 divisions: i-110400 keywords: Breakdown; coplanar contamination; tight contamination; M-functional; scatter matrix; symmetrization abstract: The breakdown properties of two M-functionals of scatter are treated. The first functional is Tyler's (1987) M-functional for distributions onq-dimensional space, centered at zero. The second functional is Tyler's M-functional applied to symmetrized distributions. While deriving explicitformulas for the breakdown points, we also investigate the causes of breakdownin detail. date: 1997-09 id_scheme: DOI id_number: 10.11588/heidok.00021425 schriftenreihe_cluster_id: sr-10b schriftenreihe_order: 13 ppn_swb: 1657878260 own_urn: urn:nbn:de:bsz:16-heidok-214252 language: eng bibsort: DUMBGENLUTONTHEBREAK199709 full_text_status: public place_of_pub: Heidelberg pages: 16 citation: Dümbgen, Lutz ; Tyler, David (1997) On the Breakdown Properties of Two M-Functionals of Scatter. [Working paper] document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/21425/1/report.13.pdf