### 抜粋

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 |
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ページ（範囲） | 267-282 |

ページ数 | 16 |

ジャーナル | Communications in Statistics - Theory and Methods |

巻 | 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

## フィンガープリント Definition and properties ofm-dimensional n-principal points' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

## これを引用

Matsuura, S., & Kurata, H. (2013). Definition and properties ofm-dimensional n-principal points.

*Communications in Statistics - Theory and Methods*,*42*(2), 267-282. https://doi.org/10.1080/03610926.2011.581791