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    Please use this identifier to cite or link to this item: http://nccur.lib.nccu.edu.tw/handle/140.119/54042


    Title: Ferguson-Dirichlet過程在N維空間上的隨機函數分配
    Other Titles: On the Distribution of the Random Functional of a Ferguson-Dirichlet Process over the N-Dimensional Space
    Authors: 姜志銘
    Contributors: 國立政治大學應用數學學系
    行政院國家科學委員會
    Keywords: Ferguson-Dirichlet過程;對稱分配;隨機函數;c-特徵函數
    Ferguson-Dirichlet process;symmetrical distribution;random functional;c-characteristic function
    Date: 2008
    Issue Date: 2012-10-24 16:13:44 (UTC+8)
    Abstract: 自從Ferguson (1973) 首先提出Ferguson-Dirichlet過程後,就一直有很多學者研究它的隨機函數。本研究中,我們將首先研究及給予Ferguson-Dirichlet過程在n-維球體上的隨機函數之機率密度函數,這些將是低維度結果的相當重要的擴充,同時,我們也將研究以及提供Ferguson-Dirichlet過程在有界n-維空間上隨機過程的機率密度函數。
    Since Ferguson-Dirichlet process was first introduced by Ferguson (1973), many researchers have studied its random functional. In this research, we first study and give the probability density functions of the random functional of the Ferguson-Dirichlet process over any n-dimensional sphere. These would be a very important generalization of the current low dimensional results. In addition, we shall also study and provide the probability density functions of the random functional of the Ferguson-Dirichlet process over any n-dimensional bounded space.
    Relation: 基礎研究
    學術補助
    研究期間:9708~ 9807
    研究經費:389仟元
    Data Type: report
    Appears in Collections:[應用數學系] 國科會研究計畫

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