政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/54048
English  |  正體中文  |  简体中文  |  Post-Print筆數 : 27 |  Items with full text/Total items : 109948/140897 (78%)
Visitors : 46090971      Online Users : 1415
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
    Home ‧ Login ‧ Upload ‧ Help ‧ About ‧ Administer Goto mobile version


    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/54048


    Title: 以比值矩陣法處理高維度中相容性問題
    Other Titles: Solving the Compatibility Issue in Higher Dimensions with Ratio Matrix Method
    Authors: 宋傳欽
    Contributors: 國立政治大學應用數學學系
    行政院國家科學委員會
    Keywords: 相容性;IBD比值矩陣;完全條件分配函數
    compatibility;IBD ratio matrix;full conditional densities
    Date: 2009
    Issue Date: 2012-10-24 16:13:54 (UTC+8)
    Abstract: 在給定一些條件分配函數時，若存在聯合分配函數使得其條件分配函數跟給定的條件分配函數相同時，則稱這些給定的條件分配函數是相容的。二維有限離散型相容性問題由Arnold et al.（1989）率先提出以比值矩陣（ratio matrix）作為解決問題的核心工具。Song et al.（2008）延續相關的研究，並提出了IBD比值矩陣（irreducible block diagonal ratio matrix）的突破性概念，給予了是否相容？以及相容時，聯合機率分配是否唯一的簡單、方便、快速檢驗方法。同時，當聯合機率分配函數解不唯一時，Song et al.（2008）也給予了找出所有可能解的方法。本計畫擬將前述二維有限離散的結果推廣至高維度的情形，即給定一些多個隨機變數的完全條件分配函數（full conditional distributions），如何運用相關的比值矩陣，判斷他們是相容的？若相容時，又如何找出所有聯合分配函數的解？
    The given conditional densities are said to be compatible if there exists an associated joint density with them as its conditionals. Arnold et al.（1989）first used the ratio matrix to solve for the bivariate case. However, there is some insufficiency in their main theorem. Song et al.（2008）proposed the IBD ratio matrix concept, and gave a simple and easy manipulation method for compatibility checking and uniqueness checking. Besides, they also gave a way to find all possible joint densities whenever the solutions are not unique. In this study, we will extend the results obtained in bivariate case to those in high-dimensional cases for full conditional densities.
    Relation: 基礎研究
    學術補助
    研究期間:9808~ 9907
    研究經費:326仟元
    Data Type: report
    Appears in Collections:[Department of Mathematical Sciences] NSC Projects

    Files in This Item:

    File SizeFormat
    982118M004001.pdf503KbAdobe PDF2836View/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 Copyright Announcement
    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。
    The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

    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。
    NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - Feedback