On uniqueness of two principal points for univariate location mixtures

Wataru Yamamoto; Nobuo Shinozaki

doi:10.1016/s0167-7152(99)00084-x

On uniqueness of two principal points for univariate location mixtures

Wataru Yamamoto, Nobuo Shinozaki

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

18 Citations (Scopus)

Abstract

A sufficient condition of uniqueness of two principal points is given for univariate symmetric distributions, which are not necessarily unimodal. Especially a class of location mixtures including the normal ones is shown to have unique two principal points.

Original language	English
Pages (from-to)	33-42
Number of pages	10
Journal	Statistics and Probability Letters
Volume	46
Issue number	1
DOIs	https://doi.org/10.1016/s0167-7152(99)00084-x
Publication status	Published - 2000 Jan 1
Externally published	Yes

Keywords

Bimodal distribution* k -means clustering
Log-concavity* Normal mixture

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1016/s0167-7152(99)00084-x

Cite this

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title = "On uniqueness of two principal points for univariate location mixtures",

abstract = "A sufficient condition of uniqueness of two principal points is given for univariate symmetric distributions, which are not necessarily unimodal. Especially a class of location mixtures including the normal ones is shown to have unique two principal points.",

keywords = "Bimodal distribution* k -means clustering, Log-concavity* Normal mixture",

author = "Wataru Yamamoto and Nobuo Shinozaki",

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doi = "10.1016/s0167-7152(99)00084-x",

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AU - Shinozaki, Nobuo

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KW - Bimodal distribution k -means clustering

KW - Log-concavity Normal mixture

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JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

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ER -

On uniqueness of two principal points for univariate location mixtures

Abstract

Keywords

ASJC Scopus subject areas

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