Nonparametric Recursive Method for Generalized Kernel Estimators for Dependent Functional Data

Yousri Slaoui ()
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Yousri Slaoui: Univ. Poitiers, Lab. Math. et Appl.

Sankhya A: The Indian Journal of Statistics, 2024, vol. 86, issue 1, No 12, 392-430

Abstract: Abstract 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.

Keywords: Regression estimation; dependent functional data; stochastic approximation algorithm; Primary 62G08; 62L20; 62G09; Secondary 65D10 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13171-023-00325-7

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