博碩士論文 104225601 完整後設資料紀錄

 DC 欄位 值 語言 DC.contributor 統計研究所 zh_TW DC.creator 何致晟 zh_TW DC.creator Zhisheng He en_US dc.date.accessioned 2017-7-19T07:39:07Z dc.date.available 2017-7-19T07:39:07Z dc.date.issued 2017 dc.identifier.uri http://ir.lib.ncu.edu.tw:88/thesis/view_etd.asp?URN=104225601 dc.contributor.department 統計研究所 zh_TW DC.description 國立中央大學 zh_TW DC.description National Central University en_US dc.description.abstract 對設限存活資料(censored survival data)分析，Rodrigues等(2009)提出用Conway-Maxwell-Poisson (COM-Poisson)分佈為治愈模型(cure rate model)。對COM-Poisson治愈模型之特例——伯努利治愈模型(Bernoulli cure rate model)，考慮使用不同之運算演算法，以最大概似估計法(maximum likelihood estimation)得參數之估計值。據Balakrishnan與Pal於2016以韋伯分佈(Weibull distribution)及於2015以廣義伽瑪分佈(generalized gamma distribution)，假設為其壽命分佈(lifetime distribution)。進而導出之評分函數(score function)與黑塞矩陣(Hessian matrix)，用以牛頓-拉弗森演算法(Newton-Raphson algorithm)及最大期望演算法(EM algorithm)。模擬為分析比較此二種演算法之表現。末了，實際資料分析作詳加闡明此方法模型。 zh_TW dc.description.abstract Rodrigues et al. (2009) proposed the Conway-Maxwell-Poisson (COM-Poisson) distribution as a model for a cure rate in censored survival data. We consider computational algorithms for maximum likelihood estimation under the Bernoulli cure rate model, a special case of the COM-Poisson cure rate model. The Weibull distribution (Balakrishnan and Pal 2016) and the generalized gamma distribution (Balakrishnan and Pal 2015) are considered as lifetime distributions. We obtain all the expressions of the score function and Hessian matrix to perform the Newton-Raphson and EM algorithms. Simulations are conducted to compare the performance between the EM algorithm and Newton-Raphson algorithms. Finally, a real data is analyzed to illustrate the methods. en_US DC.subject 廣義伽瑪分佈 zh_TW DC.subject 最大期望演算法 zh_TW DC.subject 邏輯鏈接 zh_TW DC.subject 牛頓-拉弗森演算法 zh_TW DC.subject 存活分析 zh_TW DC.subject 韋伯分佈 zh_TW DC.subject Generalized gamma distribution en_US DC.subject EM algorithm en_US DC.subject Logistic link en_US DC.subject Newton-Raphson algorithm en_US DC.subject Survival analysis en_US DC.subject Weibull distribution en_US DC.title Parametric likelihood inference with censored survival data under the COM-Poisson cure models en_US dc.language.iso en_US en_US DC.type 博碩士論文 zh_TW DC.type thesis en_US DC.publisher National Central University en_US