Based on the local polynomial smoother idea, we construct a local linear estimator of the conditional mode for dependent functional covariables. Precisely, observations are assumed to be a sequence of stationary α-mixing random variables. Then, we establish the asymptotic normality of the constructed estimator.

中文翻译：

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功能相关数据的条件模式估计的渐近正态性

基于局部多项式平滑器思想，我们为相关函数协变量构造了条件模式的局部线性估计量。准确地说，假设观察是一系列平稳的α混合随机变量。然后，我们建立构造的估计量的渐近正态性。