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 | |
| Publication status | Published - 2010 Dec |
| Externally published | Yes |
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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 journal › Article
}
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 -