<i>k</i>-Nearest Neighbour Estimation of the Conditional Set-Indexed Empirical Process for Functional Data: Asymptotic Properties

<i>k</i>-Nearest Neighbour Estimation of the Conditional Set-Indexed Empirical Process for Functional Data: Asymptotic Properties

The main aim of this paper is to improve the existing limit theorems for set-indexed conditional empirical processes involving functional strong mixing random variables. To achieve this, we propose using the <i>k</i>-nearest neighbor approach to estimate the regression function, as oppos...

Täydet tiedot

Bibliografiset tiedot
Päätekijät: Youssouf Souddi, Salim Bouzebda
Aineistotyyppi: Artikkeli
Kieli:English
Julkaistu: MDPI AG 2025-01-01
Sarja:Axioms
Aiheet:
conditional distribution
small ball probability
empirical process
mixing functional data
semi-metric space
covering number
Linkit:https://www.mdpi.com/2075-1680/14/2/76

Internet

https://www.mdpi.com/2075-1680/14/2/76

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