Estimation of the Conditional Survival Function under Nested Case Control Studies

• Main Authors: Yu-Zheng Li, 李昱諍
• Other Authors: Chin-Tsang Chiang
• Format: Others
• Language: en_US
• Published: 2014
• Online Access: http://ndltd.ncl.edu.tw/handle/15471614580633868696

碩士 === 國立臺灣大學 === 數學研究所 === 102 === Under random censorship, the Kaplan-Meier type estimator of Beran(1981) has been wildly used to detect the relationship between event time and covariates of interest. However, there is still no automatic selection procedure for bandwidth selection. In cohort study, some covariates might be expansive in collection. Thus, the nested case control study is an alternative avenue to reduce the cost of cohort studies. Whereas the covariates of some subjects will be missing. In this article, the Beran estimator was shown as a solution of our developed estimating equation. In terms of the estimating equation, the sampling bias can be solved by using the inverse probability weighted approach. Meanwhile, the two-step bandwidth selection procedure is developed the estimate the optimal bandwidth of the Kaplan-Meier type survival estimator. In addition, the random weighted estimator is employed to approximate the asymptotic variance of the resulting estimator. In the simulation studies, the performance of bandwidth selection and variance estimation are quite well for finite-samples.