# 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 language English 1863-1869 7 Statistics and Probability Letters 80 23-24 https://doi.org/10.1016/j.spl.2010.08.012 Published - 2010 Dec Yes

### 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

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

Research output: Contribution to journalArticle

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