Definition and properties ofm-dimensional n-principal points

Shun Matsuura, Hiroshi Kurata

研究成果: Article

4 引用 (Scopus)

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In this article, we introduce the notion of "m-dimensional n-principal points," which is a generalization of the notion of n-principal points. A set of m-dimensional n-principal points of a distribution is defined as a set of n points that optimally represents the distribution in terms of mean squared distance subject to the condition that the dimension of the linear subspace spanned by the n points is at most m. Its properties and connections to principal components are investigated for elliptically symmetric distributions and a location mixture of spherically symmetric distributions.

元の言語English
ページ(範囲)267-282
ページ数16
ジャーナルCommunications in Statistics - Theory and Methods
42
発行部数2
DOI
出版物ステータスPublished - 2013 1 11

ASJC Scopus subject areas

  • Statistics and Probability

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