### Abstract

In this paper, we study 2-principal points of general location mixtures, including finite and infinite mixtures, of spherically symmetric distributions. A theorem is established that clarifies a linear subspace in which any set of 2-principal points exists.

Original language | English |
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Pages (from-to) | 1863-1869 |

Number of pages | 7 |

Journal | Statistics and Probability Letters |

Volume | 80 |

Issue number | 23-24 |

DOIs | |

Publication status | Published - 2010 Dec |

Externally published | Yes |

### Fingerprint

### Keywords

- Location mixture
- Mean squared distance
- Principal points
- Spherically symmetric distribution

### ASJC Scopus subject areas

- Statistics, Probability and Uncertainty
- Statistics and Probability

### Cite this

**A principal subspace theorem for 2-principal points of general location mixtures of spherically symmetric distributions.** / Matsuura, Shun; Kurata, Hiroshi.

Research output: Contribution to journal › Article

*Statistics and Probability Letters*, vol. 80, no. 23-24, pp. 1863-1869. https://doi.org/10.1016/j.spl.2010.08.012

}

TY - JOUR

T1 - A principal subspace theorem for 2-principal points of general location mixtures of spherically symmetric distributions

AU - Matsuura, Shun

AU - Kurata, Hiroshi

PY - 2010/12

Y1 - 2010/12

N2 - In this paper, we study 2-principal points of general location mixtures, including finite and infinite mixtures, of spherically symmetric distributions. A theorem is established that clarifies a linear subspace in which any set of 2-principal points exists.

AB - In this paper, we study 2-principal points of general location mixtures, including finite and infinite mixtures, of spherically symmetric distributions. A theorem is established that clarifies a linear subspace in which any set of 2-principal points exists.

KW - Location mixture

KW - Mean squared distance

KW - Principal points

KW - Spherically symmetric distribution

UR - http://www.scopus.com/inward/record.url?scp=77958480768&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77958480768&partnerID=8YFLogxK

U2 - 10.1016/j.spl.2010.08.012

DO - 10.1016/j.spl.2010.08.012

M3 - Article

AN - SCOPUS:77958480768

VL - 80

SP - 1863

EP - 1869

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

SN - 0167-7152

IS - 23-24

ER -