Abstract In this paper, we propose a relative recursive regression estimator for censored data defined by the stochastic approximation algorithm to deal with the presence of outliers or when the response is usually positive. We give the central limit theorem and the strong pointwise convergence rate for our proposed nonparametric relative recursive estimators under some mild conditions. We finally developed a second generation plug-in bandwidth selection procedure.

中文翻译：

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删失数据的非参数相对递归回归估计量

摘要 在本文中，我们针对由随机近似算法定义的删失数据提出了一种相对递归回归估计器，以处理异常值的存在或响应通常为正的情况。我们给出了在一些温和条件下我们提出的非参数相对递归估计量的中心极限定理和强逐点收敛率。我们最终开发了第二代插件带宽选择程序。