Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/54033
DC Field | Value | Language |
---|---|---|
dc.contributor | 政治大學應用數學系 | en_US |
dc.contributor | 行政院國家科學委員會 | en_US |
dc.creator | 姜志銘 | zh_TW |
dc.date | 2006 | en_US |
dc.date.accessioned | 2012-10-24T08:13:30Z | - |
dc.date.available | 2012-10-24T08:13:30Z | - |
dc.date.issued | 2012-10-24T08:13:30Z | - |
dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/54033 | - |
dc.description.abstract | Ferguson-Dirichlet過程已廣泛地應用於許多領域,特別是在貝氏無母數問題方面,目前已慢慢變成熱門的研究主題。本研究中,我們將使用-特徵函數(Jiang, 1988)之反演公式(Jiang and Kuo, 2005, 2006)來研究Ferguson-Dirichlet過程的隨機函數。同時,我們將進一步研究對應於某些重要的Ferguson-Dirichlet過程的新的隨機動差。 c Jiang, Dickey, and Kuo (2004)將單維度的-特徵函數擴展到多維度的-特徵函數,然而這個多維度-特徵函數的反演公式仍為未知,我們將先研究這個反演公式,接下來再研究Ferguson-Dirichlet過程下的多維度隨機函數。我們也將特別研究當Ferguson-Dirichlet過程在球表面或橢圓體表面上的隨機函數。這會是Jiang, Dickey, and Kuo (2004)結果的一個重要延伸。 ccc Ferguson-Dirichlet過程應用的模擬與數值計算是相當重要的課題。我們將研究簡易的計算方式以使Ferguson-Dirichlet過程的應用更加有效率。 | en_US |
dc.description.abstract | Jiang, Dickey, and Kuo (2004) give the multivariate c-characteristic function and show that it has properties similar to those of the multivariate Fourier transformation. This new transformation can be useful when a distribution is difficult to deal with using Fourier transformation or traditional characteristic function. In this paper, we first give the multivariate c-characteristic function of the random functional of a Ferguson-Dirichlet process on the unit ball. We then find out its probability density function using properties of the multivariate c-characteristic function. This new result in three-dimension would generalize the two-dimensional result given by Jiang (1991). | - |
dc.language.iso | en_US | - |
dc.relation | 基礎研究 | en_US |
dc.relation | 學術補助 | en_US |
dc.relation | 研究期間:9508~ 9607 | en_US |
dc.relation | 研究經費:714仟元 | en_US |
dc.subject | 貝氏無母數; Ferguson-Dirichlet過程; 隨機動差; c-特徵函數 | en_US |
dc.title | 隨機函數及其應用之研究 | zh_TW |
dc.title.alternative | A Study of the Random Functional and Its Applications | en_US |
dc.type | report | en |
item.fulltext | With Fulltext | - |
item.grantfulltext | open | - |
item.cerifentitytype | Publications | - |
item.languageiso639-1 | en_US | - |
item.openairetype | report | - |
item.openairecristype | http://purl.org/coar/resource_type/c_93fc | - |
Appears in Collections: | 國科會研究計畫 |
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