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Principal points of univariate continuous distributions

✍ Scribed by Alice Zoppè

Book ID
104640483
Publisher
Springer US
Year
1995
Tongue
English
Weight
407 KB
Volume
5
Category
Article
ISSN
0960-3174

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✦ Synopsis

The K principal points of a p-variate random variable X are defined as those points ~1,..-, (x which minimize the expected squared distance of X from the nearest of the ~k-This paper reviews some of the theory of principal points and presents a method of determining principal points of univariate continuous distributions. The method is applied to the uniform distribution, to the normal distribution and to the exponential distribution.

📜 SIMILAR VOLUMES

On uniqueness of two principal points fo
On uniqueness of two principal points for univariate location mixtures
✍ Wataru Yamamoto; Nobuo Shinozaki 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 131 KB

A su cient 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.