Abstract

In this article the lifetime data subjecting to right random censoring is considered. Nonparametric estimation of the distribution function based on conception of presmoothed estimation of relative-risk function is discussed. A strong uniform approximation of estimator by weighted sum of random functions is proved. As result the strong uniform consistency and asymptotical normality of estimator are also established. Some applications in parametric estimation problems are considered.

中文翻译：

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基于预平滑相对风险函数的右随机删失下分布函数的非参数估计

摘要

在本文中，考虑了经过正确随机检查的生命周期数据。讨论了基于相对风险函数的预平滑估计概念的分布函数的非参数估计。证明了随机函数加权和对估计量的强均匀逼近。结果，还建立了估计的强一致一致性和渐近正态性。考虑了参数估计问题中的一些应用。