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

Shun Matsuura; Hiroshi Kurata

doi:10.1016/j.spl.2010.08.012

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

Shun Matsuura, Hiroshi Kurata

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

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
Pages (from-to)	1863-1869
Number of pages	7
Journal	Statistics and Probability Letters
Volume	80
Issue number	23-24
DOIs	https://doi.org/10.1016/j.spl.2010.08.012
Publication status	Published - 2010 Dec 1
Externally published	Yes

Keywords

Location mixture
Mean squared distance
Principal points
Spherically symmetric distribution

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

Access to Document

10.1016/j.spl.2010.08.012

Cite this

@article{299f0542b2b84bec8bea68be955e556f,

title = "A principal subspace theorem for 2-principal points of general location mixtures of spherically symmetric distributions",

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.",

keywords = "Location mixture, Mean squared distance, Principal points, Spherically symmetric distribution",

author = "Shun Matsuura and Hiroshi Kurata",

year = "2010",

month = dec,

day = "1",

doi = "10.1016/j.spl.2010.08.012",

language = "English",

volume = "80",

pages = "1863--1869",

journal = "Statistics and Probability Letters",

issn = "0167-7152",

publisher = "Elsevier",

number = "23-24",

}

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 - 2010/12/1

Y1 - 2010/12/1

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 -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this