English  |  正體中文  |  简体中文  |  Post-Print筆數 : 11 |  Items with full text/Total items : 89671/119468 (75%)
Visitors : 23934801      Online Users : 170
RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
  • Adv. Search
    HomeLoginUploadHelpAboutAdminister Goto mobile version
    Please use this identifier to cite or link to this item: http://nccur.lib.nccu.edu.tw/handle/140.119/54046


    Title: 隨機函數分配
    Other Titles: On the Random Functional Distributions
    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: 貝氏無母數;Ferguson-Dirichlet過程;隨機函數;C-特徵函數
    Bayesian nonparametric;Ferguson-Dirichlet process;random functional;c-characteristic function
    Date: 2009
    Issue Date: 2012-10-24 16:13:51 (UTC+8)
    Abstract: 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。
    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.
    Relation: 基礎研究
    學術補助
    研究期間:9808~ 9907
    研究經費:460仟元
    Data Type: report
    Appears in Collections:[應用數學系] 國科會研究計畫

    Files in This Item:

    File SizeFormat
    982118M004002.pdf565KbAdobe PDF528View/Open


    All items in 政大典藏 are protected by copyright, with all rights reserved.


    社群 sharing

    著作權政策宣告
    1.本網站之數位內容為國立政治大學所收錄之機構典藏,無償提供學術研究與公眾教育等公益性使用,惟仍請適度,合理使用本網站之內容,以尊重著作權人之權益。商業上之利用,則請先取得著作權人之授權。
    2.本網站之製作,已盡力防止侵害著作權人之權益,如仍發現本網站之數位內容有侵害著作權人權益情事者,請權利人通知本網站維護人員(nccur@nccu.edu.tw),維護人員將立即採取移除該數位著作等補救措施。
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - Feedback