政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/87950
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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/87950


    Title: 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
    Authors: 劉士榮
    Liu, Shi Rong
    Contributors: 姜志銘
    Jiang, Zhi Ming
    劉士榮
    Liu, Shi Rong
    Date: 1995
    Issue Date: 2016-04-29 09:39:39 (UTC+8)
    Abstract: 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..........
    Reference: 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.
    Description: 碩士
    國立政治大學
    應用數學系
    Source URI: http://thesis.lib.nccu.edu.tw/record/#B2002003046
    Data Type: thesis
    Appears in Collections:[Department of Mathematical Sciences] Theses

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