eprintid: 21412
rev_number: 12
eprint_status: archive
userid: 2326
dir: disk0/00/02/14/12
datestamp: 2016-06-27 15:20:54
lastmod: 2016-07-25 13:23:23
status_changed: 2016-06-27 15:20:54
type: workingPaper
metadata_visibility: show
creators_name: Sawitzki, Günther
title: The Excess Mass Approach and the Analysis of Multi-Modality
subjects: 510
divisions: 110400
note: Veröffentlicht in: W. Gaul, D. Pfeifer (eds.): From data to knowledge: Theoretical and practical aspectsof classification, data analysis and knowledge organization. Proc. 18thAnnual Conference of the GfKl, Univ. of Oldenburg, 1996. Springer Verlag,Heidelberg Berlin ISBN 3-540-60354-9 pp. 203 - 211.
abstract: The excess mass approach is a general approach to statistical analysis. It can be used to formulate a probabilistic model for clustering and can be applied to the analysis of multi-modality. Intuitively, a mode is present where an excess of probability mass is concentrated. This intuitive idea can be formalized directly by means of the excess mass functional. There is no need for intervening steps like initial density estimation. The excess mass measures the local difference of a given distribution to a reference model, usually the uniform distribution. The excess mass defines a functional which can be estimated efficiently from the data and can be used to test for multi-modality.
date: 1998-12
id_scheme: DOI
id_number: 10.11588/heidok.00021412
schriftenreihe_cluster_id: sr-10b
schriftenreihe_order: 17
ppn_swb: 1657876349
own_urn: urn:nbn:de:bsz:16-heidok-214124
language: eng
bibsort: SAWITZKIGUTHEEXCESSM199812
full_text_status: public
place_of_pub: Heidelberg
pages: 9
citation:   Sawitzki, Günther  (1998) The Excess Mass Approach and the Analysis of Multi-Modality.  [Working paper]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/21412/1/report.17.pdf