The Comparison of Parameter Estimation with Application to Massachusetts Health Care Panel Study (MHCPS) Data

• Main Authors: Yao-wen Huang, 黃耀文
• Other Authors: Chin-san Lee
• Format: Others
• Language: en_US
• Published: 2004
• Online Access: http://ndltd.ncl.edu.tw/handle/71923288425878484320

碩士 === 國立中山大學 === 應用數學系研究所 === 92 === In this paper we propose two simple algorithms to estimate parameters β and baseline survival function in Cox proportional hazard model with application to Massachusetts Health Care Panel Study (MHCPS) (Chappell, 1991) data which is a left truncated and interval censored data. We find that, in the estimation of β and baseline survival function, Kaplan and Meier algorithm is uniformly better than the Empirical algorithm. Also, Kaplan and Meier algorithm is uniformly more powerful than the Empirical algorithm in testing whether two groups of survival functions are the same. We also define a distance measure D and compare the performance of these two algorithms through β and D.