Bayesian Survial Analysis for Proportional Odds Model with Current Status Data

• Main Authors: Yu-Cheng Ni, 倪裕程
• Other Authors: Yuh-Jenn Wu
• Format: Others
• Language: zh-TW
• Published: 2012
• Online Access: http://ndltd.ncl.edu.tw/handle/22754508032061777184

碩士 === 中原大學 === 應用數學研究所 === 100 === The mainly discuss to estimate parameters from proportional odds model with current status data by bayesian survival analysis in this paper. Current Status data is an interval censored data. The observation only include the examination time and the failure time is larger than examination time or not. For example, suppose a study is conducted to measure the impact of smoking cigarette on lung cancer. Let the covariate Z=0 mean no smoking and Z=1 mean smoking. And then check the subject got cancer or not at the examination time. We choose proportional odds model in this paper. We consider the proportional odds function that is a continuous function, but the NPMLE can only show us a step function in small sample. Thus we use the bernstein polynomial to estimate a smooth function.