Nonparametric Recursive Method for Generalized Kernel Estimators for Dependent Functional Data

被引:0
|
作者
Yousri Slaoui
机构
[1] Univ. Poitiers,
[2] Lab. Math. et Appl.,undefined
来源
Sankhya A | 2024年 / 86卷
关键词
Regression estimation; dependent functional data; stochastic approximation algorithm; Primary 62G08; 62L20; 62G09; Secondary 65D10;
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摘要
In the present paper, we are concerned with a generalized kernel estimators defined by the stochastic approximation algorithm in the case of dependent functional data. We establish the central limit theorem for the proposed estimators under some mild conditions. We then approach the distribution of the bias distribution of our estimate by the bootstrapped distribution when it is conditioned by the data using the Kolmogorov distance.
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页码:392 / 430
页数:38
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