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| Field |
Value |
| 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: | http://dx.doi.org/10.1016/j.jmva.2013.05.013 |
| DCField |
Value |
Language |
| dc.contributor (Contributor) | 應數系 | - |
| dc.creator (Authors) | Dickey, James M. | - |
| dc.creator (Authors) | 姜志銘 | zh_TW |
| dc.creator (Authors) | Jiang, Thomas J. | en_US |
| dc.creator (Authors) | Kuo, Kun-Lin | en_US |
| dc.date (Date) | 2013-09 | - |
| dc.date.accessioned | 2016-02-01 16:06:30 (UTC+8) | - |
| dc.date.available | 2016-02-01 16:06:30 (UTC+8) | - |
| dc.date.issued (Issue Date) | 2016-02-01 16:06:30 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/81029 | - |
| dc.description.abstract (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. | - |
| dc.format.extent | 440066 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.relation (Relation) | Journal of Multivariate Analysis, 120, 216-225 | - |
| dc.subject (Keywords) | Characteristic function; Dirichlet distribution; Ferguson–Dirichlet process; Random functional; Spherically symmetric distribution | - |
| dc.title (Title) | Distribution of functionals of a Ferguson–Dirichlet process over an -dimensional ball | - |
| dc.type (Data Type) | article | - |
| dc.identifier.doi (DOI) | 10.1016/j.jmva.2013.05.013 | - |
| dc.doi.uri | http://dx.doi.org/10.1016/j.jmva.2013.05.013 | - |
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