Two principal points of symmetric, strongly unimodal distributions

Examples illustrate that splitting a symmetric, unimodal distribution into two groups so as to minimize the sum of the within-group variances does not always occur at the mean. Strong unimodality is shown to be a sufficient condition for the optimal cutpoint to occur at the mean.

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Year of publication:	1994
Authors:	Tarpey, Thaddeus
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 20.1994, 4, p. 253-257
Publisher:	Elsevier
Subject:	k-means clustering Mixtures Self-consistent points

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005259227