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政大機構典藏 > 理學院 > 應用數學系 > 學位論文 > Item 140.119/84953

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/84953

Title:	處理失去部分訊息資料問題的準貝氏法 Quasi-Bayesian methods on the problem with censored data
Authors:	劉猷銘
Contributors:	姜志銘劉猷銘
Keywords:	準貝式法 quasi-Bayes method
Date:	2001
Issue Date:	2016-04-15 16:03:02 (UTC+8)
Abstract:	以貝式方法處理部分區分(partially-classified)失去部分訊息資料的類別抽樣(categorical sampling with censored data)大部分皆建立在“無價值性失去部分訊息的類別資料”(non-informative censored categorical data)與“誠實回答”(truthful reporting)的前提下。Jiang (1995)取消這兩個假設，提出類似Makov & Smith(1977)和Smith & Makov(1978)對混合分配(mixture distribution)所用之準貝式法(quasi-Bayes method)來得到近似解。而本文將討Jiang提出之準貝式法的收斂性，及考慮先驗分配對估計精準度的影響。封面頁證明書致謝詞論文摘要目錄 1 簡介 2 準貝式法 2.1 多元白努利抽樣 2.2 準貝式法 3 準貝式法之收斂性 3.1 某些先驗分配下的結果 3.2 收斂性質的模擬 4 模擬先驗分配對估計精準度之影響 5 結論 Reference 附錄附錄1：收斂性質的模擬附錄2：情形一到情形七的α、β、ｕ和Ｇ附錄3：模擬先驗分配對估計精準度之影響
Reference:	Dickey,J.M., Jiang,J.M., and Kadane, J. B. (1987)," Bayesian Methods for Censored Categorical Data," Journal of the American Ststistical Association, 82, 773-781. Jiang,T.J.(1995) " Quasi-Bayes Sequential for Categorical Data under Informative Censoring ," Technical report #1995-02, Department of Mathematical Sciences, National Chengchi University. Jiang,T.J.,and Dickey,J.M. (2001), "Bayesian Approaches to Categorical Data with Informative Censoring," To be published. Makov, U. E., and Smith, A. F. M. (1977), "A Quasi-Bayes Unsupervised Learning Procedures for Priors, " IEEE Trans.Inf.Theory,IT-23,761-764. Smith, A. F. M., and Makov, U. E. (1978), " A Quasi-Bayes Sequential Procedure for Mixture, " Journal of the Royal Statistical Society,Ser. B. 40, 106-112 Venter, J. H. (1966) "On Dvroetzky Stochastic Approximation, " Ann. Math. Statist, 37, 1534-1544.
Description:	碩士國立政治大學應用數學系
Source URI:	http://thesis.lib.nccu.edu.tw/record/#A2002001144
Data Type:	thesis
Appears in Collections:	[應用數學系] 學位論文

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