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題名 對失去部分訊息而有價值的類別資料的貝氏方法之探討
A study on Bayesian methods for categorical data under informative censoring作者 劉士榮
Liu, Shi Rong貢獻者 姜志銘
Jiang, Zhi Ming
劉士榮
Liu, Shi Rong日期 1995 上傳時間 29-Apr-2016 09:39:39 (UTC+8) 摘要 以貝氏方法處理部分區分（partially-classified）失去部分訊息資料的類別抽樣（categorical sampling with censored data）的研究已行之有年，但大部分都在“失去部分訊息但無價值性”（non-informative censoring）以及“誠實回答”（truthful reporting）的前提下。Thomas J. Jiang取消以上二個限制，於1995年提quasi-Bayes method來近似這類問題的貝氏解。而Paulino and Pereira亦於1995年提出另一方法求得貝氏解。本文重點在於比較此二種方法，亦探討Thomas J. Jiang之quasi-Bayes method之收斂性。
Bayesian treatments of categorical sampling with censored （partially-classified）data have been subjected to research for decades, but most of these researches focused on the analysis of categorical date under non-informative censoring and truthful reporting Thomas J. Jiang dropped these assumptions and proposed quasi-Bayes method to approximate a coherent Bayes solution in 1995. Paulino and Pereira also proposed another method to get Bayes solution In the paper, we shall compare these two methods and study the convergence of quasi-Bayes method..........參考文獻 Basu, D., and Pereira, C. A. B. (1982), " On the Bayesian Analysis of Categorical Data:The Problem of Nonresponse," Journal of Statistical Planning and Inference, 6, 345-362. Dickey, J. M., Jiang, J. M., and Kadane, J. B. (1987), " Bayesian Methods for Censored Categorical Data," Journal of the American Statistical Association, 82, 773-781. Jiang, T. J., Kadane, J. B., and Dickey, J. M. (1992), " Computation of Carlson`s Multiple Hypergeometric Function R for Bayesian Applications," Jornal of Computation and Graphical Statistics. 1,231-251. Jiang, T. J., (1995). " Quasi-Bayes Sequential Method for Categorical Data Under Informative Censoring," Technical Report, To be submitted for Publication. Karson, M. J., and Wrobleski, W. 1. (1970), " A Bayesian Analysis of Binomial Data with a Partially Informative Category," in Proceedings of the Business and Economics Statistics, American Statistical Association. 532-534. Little, R. 1. A, and Rubin, D. B. (1987), "Statistical Analysis with Missing Data," New York, John Wiley? Sons. Makov, U. E., and Smith, A F. M. (1977), " A Quasi-Bayes Unsupervised Learning Procedures for Priors," IEEE Trans. In! Theory, IT-23, 761-764. Paulino, C. D. M. (1991), " Analysis of Incomplete Categorical Data : A Survey of the Conditional Maximum Likelihood and Weighted Least Squares Approaches," Brazilian J. Prob. Statist. 5, 1-42. Paulino, C. D. M., and Pereira, C. A. B. (1992), " Bayesian Analysis of Categorical Data Informatively Censored," Commun. Statist. A 21,2689-705. Paulino, C. D. M., and Pereira, C. A. B. (1995), “Bayesian Methods for Categorical Data Under Informative General Censoring," Biometrika, 82, 2, pp. 439-46. 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. 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/#B2002003046 資料類型 thesis dc.contributor.advisor 姜志銘 zh_TW dc.contributor.advisor Jiang, Zhi Ming en_US dc.contributor.author (Authors) 劉士榮 zh_TW dc.contributor.author (Authors) Liu, Shi Rong en_US dc.creator (作者) 劉士榮 zh_TW dc.creator (作者) Liu, Shi Rong en_US dc.date (日期) 1995 en_US dc.date.accessioned 29-Apr-2016 09:39:39 (UTC+8) - dc.date.available 29-Apr-2016 09:39:39 (UTC+8) - dc.date.issued (上傳時間) 29-Apr-2016 09:39:39 (UTC+8) - dc.identifier (Other Identifiers) B2002003046 en_US dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/87950 - 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) 以貝氏方法處理部分區分（partially-classified）失去部分訊息資料的類別抽樣（categorical sampling with censored data）的研究已行之有年，但大部分都在“失去部分訊息但無價值性”（non-informative censoring）以及“誠實回答”（truthful reporting）的前提下。Thomas J. Jiang取消以上二個限制，於1995年提quasi-Bayes method來近似這類問題的貝氏解。而Paulino and Pereira亦於1995年提出另一方法求得貝氏解。本文重點在於比較此二種方法，亦探討Thomas J. Jiang之quasi-Bayes method之收斂性。 zh_TW dc.description.abstract (摘要) Bayesian treatments of categorical sampling with censored （partially-classified）data have been subjected to research for decades, but most of these researches focused on the analysis of categorical date under non-informative censoring and truthful reporting Thomas J. Jiang dropped these assumptions and proposed quasi-Bayes method to approximate a coherent Bayes solution in 1995. Paulino and Pereira also proposed another method to get Bayes solution In the paper, we shall compare these two methods and study the convergence of quasi-Bayes method.......... en_US dc.description.tableofcontents 1.簡介……….2 2.Two Bayesian approaches……….3 2.1qausi-Bayes method..........3 2.2Paulino and Pereira’s approach..........9 3.quasi-Bayes method之模擬結果..........14 4.Quasi-Bayes method與Paulino and Pereira’s method之比較..........25 5.結論..........31 Reference..........32 zh_TW dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#B2002003046 en_US dc.title (題名) 對失去部分訊息而有價值的類別資料的貝氏方法之探討 zh_TW dc.title (題名) A study on Bayesian methods for categorical data under informative censoring en_US dc.type (資料類型) thesis en_US dc.relation.reference (參考文獻) Basu, D., and Pereira, C. A. B. (1982), " On the Bayesian Analysis of Categorical Data:The Problem of Nonresponse," Journal of Statistical Planning and Inference, 6, 345-362. Dickey, J. M., Jiang, J. M., and Kadane, J. B. (1987), " Bayesian Methods for Censored Categorical Data," Journal of the American Statistical Association, 82, 773-781. Jiang, T. J., Kadane, J. B., and Dickey, J. M. (1992), " Computation of Carlson`s Multiple Hypergeometric Function R for Bayesian Applications," Jornal of Computation and Graphical Statistics. 1,231-251. Jiang, T. J., (1995). " Quasi-Bayes Sequential Method for Categorical Data Under Informative Censoring," Technical Report, To be submitted for Publication. Karson, M. J., and Wrobleski, W. 1. (1970), " A Bayesian Analysis of Binomial Data with a Partially Informative Category," in Proceedings of the Business and Economics Statistics, American Statistical Association. 532-534. Little, R. 1. A, and Rubin, D. B. (1987), "Statistical Analysis with Missing Data," New York, John Wiley? Sons. Makov, U. E., and Smith, A F. M. (1977), " A Quasi-Bayes Unsupervised Learning Procedures for Priors," IEEE Trans. In! Theory, IT-23, 761-764. Paulino, C. D. M. (1991), " Analysis of Incomplete Categorical Data : A Survey of the Conditional Maximum Likelihood and Weighted Least Squares Approaches," Brazilian J. Prob. Statist. 5, 1-42. Paulino, C. D. M., and Pereira, C. A. B. (1992), " Bayesian Analysis of Categorical Data Informatively Censored," Commun. Statist. A 21,2689-705. Paulino, C. D. M., and Pereira, C. A. B. (1995), “Bayesian Methods for Categorical Data Under Informative General Censoring," Biometrika, 82, 2, pp. 439-46. 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. zh_TW
