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Two principal points of symmetric, strongly unimodal distributions

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  • Tarpey, Thaddeus
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    Abstract

    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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    File URL: http://www.sciencedirect.com/science/article/B6V1D-45DB1M3-7P/2/fe36767c40a1b7e4e3395436c5c6866e
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    Bibliographic Info

    Article provided by Elsevier in its journal Statistics & Probability Letters.

    Volume (Year): 20 (1994)
    Issue (Month): 4 (July)
    Pages: 253-257

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    Handle: RePEc:eee:stapro:v:20:y:1994:i:4:p:253-257

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    Related research

    Keywords: k-means clustering Mixtures Self-consistent points;

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    Cited by:
    1. Matsuura, Shun & Kurata, Hiroshi, 2011. "Principal points of a multivariate mixture distribution," Journal of Multivariate Analysis, Elsevier, vol. 102(2), pages 213-224, February.

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