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

11 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
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

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10.1016/j.spl.2010.08.012

Cite this

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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",

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

language = "English",

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AU - Matsuura, Shun

AU - Kurata, Hiroshi

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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

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DO - 10.1016/j.spl.2010.08.012

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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

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