| dc.contributor | 國立政治大學應用數學學系 | en_US |
| dc.contributor | 行政院國家科學委員會 | en_US |
| dc.creator (作者) | 姜志銘 | zh_TW |
| dc.date (日期) | 2009 | en_US |
| dc.date.accessioned | 24-十月-2012 16:13:51 (UTC+8) | - |
| dc.date.available | 24-十月-2012 16:13:51 (UTC+8) | - |
| dc.date.issued (上傳時間) | 24-十月-2012 16:13:51 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/54046 | - |
| dc.description.abstract (摘要) | 在貝氏統計領域內，最常用於隨機分配的無母數模型就是Ferguson-Dirichlet過程，我們首先將研究Ferguson-Dirichlet隨機過程的母數測度在球體內部，橢圓球表面，橢圓球內部的隨機函數分配。過濾變量Dirichlet分配的擴充就是Ferguson-Dirichlet隨機過程的隨機均值分配，為從另一角度研究隨機函數分配以及過濾變量Dirichlet分配的進一步應用，我們將研究及提供過濾變量Dirichlet分配和C-特徵函數的相關性質及結果。最後，我們將提供對Ferguson-Dirichlet隨機過程應用簡單及有效的數值計算方法。 | en_US |
| dc.description.abstract (摘要) | The Ferguson-Dirichlet process is the most widely used nonparametric model for random distributions in Bayesian statistics. We first study the distributions of the random functional of the Ferguson-Dirichlet process with parameter measure over spherical solid, ellipsoidal surface, and ellipsoidal solid. The generalization of the filtered-variate Dirichlet distribution is the distribution of a random mean of a Ferguson-Dirichlet process. To study the random functional from another point of views and further applications of the filter-variate Dirichlet distribution, we will also study and provide the related properties and results of the filtered-variate Dirichlet distributions and c-characteristic functions. Finally, we shall give easy and efficient computational methods for the Ferguson-Dirichlet process applications. | en_US |
| dc.language.iso | en_US | - |
| dc.relation (關聯) | 基礎研究 | en_US |
| dc.relation (關聯) | 學術補助 | en_US |
| dc.relation (關聯) | 研究期間:9808~ 9907 | en_US |
| dc.relation (關聯) | 研究經費:460仟元 | en_US |
| dc.subject (關鍵詞) | 貝氏無母數;Ferguson-Dirichlet過程;隨機函數;C-特徵函數 | en_US |
| dc.subject (關鍵詞) | Bayesian nonparametric; Ferguson-Dirichlet process; random functional; c-characteristic function | en_US |
| dc.title (題名) | 隨機函數分配 | zh_TW |
| dc.title.alternative (其他題名) | On the Random Functional Distributions | en_US |
| dc.type (資料類型) | report | en |
