Nonparametric Estimation for Random Censored Data Based on Ranking Set Sampling |
| |
Authors: | Liangyong Zhang Xiaofang Dong Xingzhong Xu |
| |
Institution: | 1. School of Mathematics , Beijing Institute of Technology , China;2. School of Science , Qiqihar University , China;3. School of Science , Qiqihar University , China;4. School of Mathematics , Beijing Institute of Technology , China |
| |
Abstract: | In the case where the population distribution is unknown, the Kaplan–Meier estimator of the reliability function based on a ranked set sample with random right-censored data is first proposed. It is shown to be a unique self-consistent estimator. Then, the censored RSS estimator of the population mean is constructed. A simulation study is conducted to compare the performance of the proposed estimators with the corresponding estimators based on a simple random sample. It is shown that the ranked set sampling has higher efficiency. Finally, the proposed method is applied to a renal carcinoma study. |
| |
Keywords: | Kaplan–Meier method Nonparametric estimation Ranked set sampling Reliability analysis |
|
|