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Automatic classification in the case of unknown number of clusters using global density estimates
Author(s) -
Schüler L.,
Wolff H.
Publication year - 1980
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710220809
Subject(s) - series (stratigraphy) , mathematics , consistency (knowledge bases) , cluster analysis , nonparametric statistics , statistics , algorithm , discrete mathematics , paleontology , biology
A clustering algorithm using a nonparametric density gradient estimate based on a trigonometric series expansion approach is investigated. The Mean‐Integrated‐Square‐Error will be evaluated, conditions for consistency and a stopping rule for the number of terms needed in the series expansion are given. An example demonstrates the utility of the method.