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https://ah.lib.nccu.edu.tw/handle/140.119/81029
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: | Sep-2013 | 上傳時間: | 1-Feb-2016 | 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 |
Appears in Collections: | 期刊論文 |
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