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題名 Distribution of functionals of a Ferguson–Dirichlet process over an -dimensional ball
作者 Dickey, James M.
姜志銘
Jiang, Thomas J.
Kuo, Kun-Lin
貢獻者 應數系
關鍵詞 Characteristic function; Dirichlet distribution; Ferguson–Dirichlet process; Random functional; Spherically symmetric distribution
日期 2013-09
上傳時間 1-Feb-2016 16:06:30 (UTC+8)
摘要 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.
關聯 Journal of Multivariate Analysis, 120, 216-225
資料類型 article
DOI http://dx.doi.org/10.1016/j.jmva.2013.05.013
dc.contributor 應數系-
dc.creator (作者) Dickey, James M.-
dc.creator (作者) 姜志銘zh_TW
dc.creator (作者) Jiang, Thomas J.en_US
dc.creator (作者) Kuo, Kun-Linen_US
dc.date (日期) 2013-09-
dc.date.accessioned 1-Feb-2016 16:06:30 (UTC+8)-
dc.date.available 1-Feb-2016 16:06:30 (UTC+8)-
dc.date.issued (上傳時間) 1-Feb-2016 16:06:30 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/81029-
dc.description.abstract (摘要) 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 (關聯) Journal of Multivariate Analysis, 120, 216-225-
dc.subject (關鍵詞) Characteristic function; Dirichlet distribution; Ferguson–Dirichlet process; Random functional; Spherically symmetric distribution-
dc.title (題名) Distribution of functionals of a Ferguson–Dirichlet process over an -dimensional ball-
dc.type (資料類型) article-
dc.identifier.doi (DOI) 10.1016/j.jmva.2013.05.013-
dc.doi.uri (DOI) http://dx.doi.org/10.1016/j.jmva.2013.05.013-