Nonparametric inference on mean residual life function with length-biased right-censored data |
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Authors: | Hongping Wu Ang Shan |
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Institution: | 1. College of Science, China University of Petroleum, Qingdao, China;2. School of Mathematics, Shandong University, Jinan, Shandong, Chinawhpcoming@163.com;4. School of Mathematics, Shandong University, Jinan, Shandong, China |
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Abstract: | AbstractIn survival or reliability studies, the mean residual life (MRL) function is an important characteristic in understanding the survival or ageing process. In this article, we consider the problem of nonparametric MRL function estimation with length-biased right-censored data. Two nonparametric estimators of the MRL are proposed and their weak convergence is presented. In order to evaluate the performance of these estimators, small Monte Carlo simulations are carried out. Results show that the proposed estimators work well especially when the sample size is small and their calculations are simple. Finally, a real data example is provided. |
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Keywords: | MRL function functional delta method hadamard derivative length-biased right-censored data moment-type estimator |
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