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

Shun Matsuura, Hiroshi Kurata

Research output: Contribution to journalArticle

7 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 languageEnglish
Pages (from-to)1863-1869
Number of pages7
JournalStatistics and Probability Letters
Volume80
Issue number23-24
DOIs
Publication statusPublished - 2010 Dec
Externally publishedYes

Fingerprint

Principal Points
Spherically Symmetric Distribution
Subspace Theorem
Finite Mixture
Subspace
Theorem

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.

In: Statistics and Probability Letters, Vol. 80, No. 23-24, 12.2010, p. 1863-1869.

Research output: Contribution to journalArticle

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