Nonparametric estimators of the survival function with twice censored data |
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Authors: | Pao-sheng Shen |
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Affiliation: | 1.Department of Statistics,Tunghai University,Taichung,Taiwan |
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Abstract: | Patilea and Rolin (Ann Stat 34(2):925–938, 2006) proposed a product-limit estimator of the survival function for twice censored data. In this article, based on a modified self-consistent (MSC) approach, we propose an alternative estimator, the MSC estimator. The asymptotic properties of the MSC estimator are derived. A simulation study is conducted to compare the performance between the two estimators. Simulation results indicate that the MSC estimator outperforms the product-limit estimator and its advantage over the product-limit estimator can be very significant when right censoring is heavy. |
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