In this paper, we study nonparametric local linear estimation of the conditional density of a randomly censored scalar response variable given a functional random covariate. We establish under general conditions the pointwise almost sure convergence with rates of this estimator under \(\alpha \)-mixing dependence. Finally, to show interests of our results, on the practical point of view, we have conducted a computational study, first on a simulated data and, then on some real data concerning Kidney transplant data.

中文翻译：

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随机审查下条件密度函数的局部线性估计的强一致性

在本文中，我们研究了给定函数随机协变量的随机删失标量响应变量的条件密度的非参数局部线性估计。在一般条件下，我们建立了在\（\ alpha \）混合依赖下该估计量速率的逐点几乎确定收敛。最后，为了展示我们的研究结果的兴趣，从实用的角度出发，我们进行了计算研究，首先是对模拟数据进行研究，然后才对涉及肾脏移植数据的一些实际数据进行了研究。