English  |  正體中文  |  简体中文  |  Post-Print筆數 : 27 |  Items with full text/Total items : 113648/144635 (79%)
Visitors : 51572342      Online Users : 728
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
    政大機構典藏 > 商學院 > 統計學系 > 期刊論文 >  Item 140.119/140832


    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/140832


    Title: The Generalized Gamma Distribution with Application to the Modeling of Customers’ Purchase Times
    廣義伽瑪分配於顧客購買時間模型之應用
    Authors: 翁久幸;蔣宛蓉;陳麗霞
    Weng, Chiu-hsing;Jiang, Wan-rong;Chen, Li-shya
    Contributors: 統計系
    Keywords: Hierarchical Bayesian;Conditional survival functions;Generalized gamma distribution;Hazard function;Profile likelihood
    階層貝氏模型;條件存活函數;廣義伽瑪分配;危險函數;剖面概似法
    Date: 2021-12
    Issue Date: 2022-07-07 11:24:07 (UTC+8)
    Abstract: The generalized gamma (GG) distribution is an extensive family that includes as special cases several distributions: the exponential, the gamma, the log-normal, and the Weibull. It extends the gamma distribution by introducing an additional shape parameter γ , with γ = 1 giving the gamma distribution. While the taxonomy of the hazard functions of the GG family has been studied and applied to areas such as clinical trials and reliability analysis, the application to customers` purchase times is less studied. In this paper, we characterize the properties of hazard functions and conditional survival functions from the aspect of customers` buying behavior. We show how purchase behavior varies with γ and the other shape parameter. We also compare the maximum likelihood estimation via the profile likelihood methods and the hierarchical Bayesian estimation. Some real-world examples are presented for illustration.
    廣義伽瑪分配是個廣泛的模型，它涵蓋指數、伽瑪、對數常態、以及韋伯等分配。它藉由引入一個形狀參數γ來延伸伽瑪分配，而當γ=1時則為伽瑪分配。雖然廣義伽瑪分配的危險函數已有許多探討，也應用於臨床試驗、可靠度分析等領域，但是在顧客購買時間之應用仍然不多。本研究從顧客購買行為來探討，說明廣義伽瑪分配的危險函數與條件存活函數之特色，如何對應到不同之購買行為，以及購買行為與廣義伽瑪分配形狀參數之關係。我們也會比較透過剖面概似法求得的最大概似估計與使用階層貝氏模型得到之估計。若干實際資料將用來說明。
    Relation: Journal of the Chinese Statistical Association(中國統計學報), Vol.59, No.4, pp.255-279
    Data Type: article
    Appears in Collections:[統計學系] 期刊論文

    Files in This Item:

    File Description SizeFormat
    index.html0KbHTML2246View/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