現狀數據資料下貝氏對勝算比之研究

Bayesian estimation of odds rate for current status data

尤冠喬(Kuan-Chiao Yu)

指導教授 ： 吳裕振

中原大學/理學院/應用數學研究所/碩士(2015年)

https://doi.org/10.6840/cycu201500147

摘要

本篇論文主要研究現狀數據資料下貝氏對勝算比之存活分析，我們用伯氏多項式來描述勝算比，使用貝氏方法對現狀數據之勝算比之估計，其計算方面使用馬可夫鏈蒙地卡羅法－M-H演算法-遞增之演算法和凹口向下之演算法來估計比較，並且在模擬方面我們有不錯的表現，而且也符合大樣本理論，呈現在論文中以供讀者及學者專家參考及指正。

關鍵字

勝算比 ； 伯氏多項氏 ； 現狀數據

並列摘要

In this paper, we mainly study the survival analysis of the odds rate of current status data via using the method of Bayesian estimation .At first, we describe the odds rate by Bernstein Polynomials and then analyze the odds rate of current status data by the method of Bayesian estimation.
Second, the method of Markov Chain Monte Carlo ,M-H algorithm, algorithms of increasing and downward curved notch, are applied to estimate.To sum up, we can attain good performance in computation simulation which satisfies the large sample theory. The conclusion presented in this paper is provided as the reference for all readers and scholars. All of your comments are appreciated.

並列關鍵字

Odds rate ； Current data ； Bernstein Polynomials

參考文獻

Department of Applied Mathematic, Chung Yuan Christian University,

[1 ]W. Q. Fang ” Bayesian Survival Analysis for Current Status Data ”.

master thesis 2007.

[3 ]G. Casella , R.L. Berger ” Statistical inference ” , Duxbury Press 1990.

[4 ]Christian P. Robert, George Casella ” Monte Carlo Statistical Methods