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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Variance and clustering


Author: Yannis G. Yatracos
Journal: Proc. Amer. Math. Soc. 126 (1998), 1177-1179
MSC (1991): Primary 62H30, 62J10
MathSciNet review: 1458273
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Abstract | References | Similar Articles | Additional Information

Abstract: A measure of dissimilarity of real observations is introduced that is used to identify clusters and is based on ``gaps'', and also on averages of selected subgroups of the observations. This measure is surprisingly associated with the sample variance in a way that leads to a new identity and interpretation of the notion of variance.


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Additional Information

Yannis G. Yatracos
Affiliation: Département de mathématiques et de statistique, Université de Montréal, CP 6128, Suc. Centre Ville, Montréal, Canada H3C 3J7
Email: yatracos@dms.umontreal.ca

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04524-9
PII: S 0002-9939(98)04524-9
Keywords: Clustering, divergence of populations, analysis of variance
Received by editor(s): October 4, 1996
Communicated by: Wei Y. Loh
Article copyright: © Copyright 1998 American Mathematical Society