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| Title | A new multivariate transform and the distribution of a random functional of a Ferguson-Dirichlet process |
| Creator | 姜志銘 Kuo K.-L. Dickey James M. |
| Date | 2004 |
| Date Issued | 24-Dec-2008 13:30:45 (UTC+8) |
| Summary | A new multivariate transformation is given, with various properties, e.g., uniqueness and convergence properties, that are similar to those of the Fourier transformation. The new transformation is particularly useful for distributions that are difficult to deal with by Fourier transformation, such as relatives of the Dirichlet distributions. The new multivariate transformation of the Dirichlet distribution can be expressed in closed form. With this result, we easily show that the marginal of a Dirichlet distribution is still a Dirichlet distribution. We also give a closed form for the filtered-variate Dirichlet distribution. A relation between the new characteristic function and the traditional characteristic function is given. Using this multivariate transformation, we give the distribution, on the region bounded by an ellipse, of a random functional of a Ferguson–Dirichlet process over the boundary. |
| Relation | Stochastic Processes and their Applications, 111(1), 77-95 |
| Type | article |
| DOI | http://dx.doi.org/10.1016/j.spa.2003.12.003 |
| dc.creator (作者) | 姜志銘 | zh_TW |
| dc.creator (作者) | Kuo K.-L. | en_US |
| dc.creator (作者) | Dickey James M. | en_US |
| dc.date (日期) | 2004 | en_US |
| dc.date.accessioned | 24-Dec-2008 13:30:45 (UTC+8) | - |
| dc.date.available | 24-Dec-2008 13:30:45 (UTC+8) | - |
| dc.date.issued (上傳時間) | 24-Dec-2008 13:30:45 (UTC+8) | - |
| dc.identifier.uri (URI) | https://nccur.lib.nccu.edu.tw/handle/140.119/18712 | - |
| dc.description.abstract (摘要) | A new multivariate transformation is given, with various properties, e.g., uniqueness and convergence properties, that are similar to those of the Fourier transformation. The new transformation is particularly useful for distributions that are difficult to deal with by Fourier transformation, such as relatives of the Dirichlet distributions. The new multivariate transformation of the Dirichlet distribution can be expressed in closed form. With this result, we easily show that the marginal of a Dirichlet distribution is still a Dirichlet distribution. We also give a closed form for the filtered-variate Dirichlet distribution. A relation between the new characteristic function and the traditional characteristic function is given. Using this multivariate transformation, we give the distribution, on the region bounded by an ellipse, of a random functional of a Ferguson–Dirichlet process over the boundary. | - |
| dc.format | application/ | en_US |
| dc.language | en | en_US |
| dc.language | en-US | en_US |
| dc.language.iso | en_US | - |
| dc.relation (關聯) | Stochastic Processes and their Applications, 111(1), 77-95 | en_US |
| dc.title (題名) | A new multivariate transform and the distribution of a random functional of a Ferguson-Dirichlet process | en_US |
| dc.type (資料類型) | article | en |
| dc.identifier.doi (DOI) | 10.1016/j.spa.2003.12.003 | en_US |
| dc.doi.uri (DOI) | http://dx.doi.org/10.1016/j.spa.2003.12.003 | en_US |