學術產出-Theses
Article View/Open
Publication Export
-
題名 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作者 劉猷銘 貢獻者 姜志銘
劉猷銘關鍵詞 準貝式法
quasi-Bayes method日期 2001 上傳時間 15-Apr-2016 16:03:02 (UTC+8) 摘要 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參考文獻 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. 描述 碩士
國立政治大學
應用數學系資料來源 http://thesis.lib.nccu.edu.tw/record/#A2002001144 資料類型 thesis dc.contributor.advisor 姜志銘 zh_TW dc.contributor.author (Authors) 劉猷銘 zh_TW dc.creator (作者) 劉猷銘 zh_TW dc.date (日期) 2001 en_US dc.date.accessioned 15-Apr-2016 16:03:02 (UTC+8) - dc.date.available 15-Apr-2016 16:03:02 (UTC+8) - dc.date.issued (上傳時間) 15-Apr-2016 16:03:02 (UTC+8) - dc.identifier (Other Identifiers) A2002001144 en_US dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/84953 - dc.description (描述) 碩士 zh_TW dc.description (描述) 國立政治大學 zh_TW dc.description (描述) 應用數學系 zh_TW dc.description.abstract (摘要) 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。 zh_TW dc.description.abstract (摘要) 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 - dc.description.tableofcontents 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 zh_TW dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#A2002001144 en_US dc.subject (關鍵詞) 準貝式法 zh_TW dc.subject (關鍵詞) quasi-Bayes method en_US dc.title (題名) 處理失去部分訊息資料問題的準貝氏法 zh_TW dc.title (題名) Quasi-Bayesian methods on the problem with censored data en_US dc.type (資料類型) thesis en_US dc.relation.reference (參考文獻) 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. zh_TW
