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政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/81029

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/81029

Title:	Distribution of functionals of a Ferguson–Dirichlet process over an -dimensional ball
Authors:	Dickey, James M. 姜志銘 Jiang, Thomas J. Kuo, Kun-Lin
Contributors:	應數系
Keywords:	Characteristic function;Dirichlet distribution;Ferguson–Dirichlet process;Random functional;Spherically symmetric distribution
Date:	2013-09
Issue Date:	2016-02-01 16:06:30 (UTC+8)
Abstract:	The -characteristic function has been shown to have properties similar to those of the Fourier transformation. We now give a new property of the -characteristic function of the spherically symmetric distribution. With this property, we can easily determine whether a distribution is spherically symmetric. The exact probability density function of the random mean of a spherically symmetric Ferguson–Dirichlet process with parameter measure over an -dimensional spherical surface and that over an -dimensional ball are given. We further give the exact probability density function of the random mean of a Ferguson–Dirichlet process with parameter measure over an -dimensional ellipsoidal surface and that over an -dimensional ellipsoidal solid.
Relation:	Journal of Multivariate Analysis, 120, 216-225
Data Type:	article
DOI 連結:	http://dx.doi.org/10.1016/j.jmva.2013.05.013
DOI:	10.1016/j.jmva.2013.05.013
Appears in Collections:	[應用數學系] 期刊論文

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