Restricted mean survival time is often of direct interest in epidemiologic studies involving censored survival time. In this article, we propose the nonparametric and semiparametric estimators of the mean restricted to the preassigned interval with censored length-biased data. Based on the peculiarity of length-biased data, the auxiliary information that truncation time and residual time have the same distribution is taken into account for improving estimation efficiency. For two-sample comparison, we construct two tests which are easy to implement. We also derive the asymptotic properties for the proposed estimators and test statistics. In simulation studies, some simulations are conducted to compare the performances of several approaches to estimate restricted mean and to assess the test statistics. In addition, our methods are applied to a real data example and some interesting results are presented.

中文翻译：

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长度偏向抽样下受限平均生存时间的非参数和半参数估计量。

在涉及截尾生存时间的流行病学研究中，限制平均生存时间通常具有直接意义。在本文中，我们提出了均值的非参数和半参数估计量，这些估计量限制在带有截尾长度偏差数据的预分配区间内。基于偏长数据的特性，考虑截断时间和剩余时间具有相同分布的辅助信息，以提高估计效率。对于两个样本的比较，我们构建了两个易于实现的测试。我们还推导出了建议的估计量和测试统计量的渐近特性。在模拟研究中，进行了一些模拟来比较几种估计受限均值和评估检验统计量的方法的性能。此外，