Journal of Siberian Federal University. Mathematics & Physics / Almost Complete Convergence of Functional Regression Estimator: a Recursive Nonparametric Approach

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. Prepublication
Authors
Hadjer Djeniba; Leulmi Sarra
Contact information
Hadjer Djeniba: Mentouri Brothers University Constantine 1, Algeria; ; Leulmi Sarra, MCA Department of Mathematics. Mentouri Brothers University Constantine 1, Algeria; ; OCRID: 0009-0003-4338-3734
Keywords
almost complete convergence; functional data; kernel estimator; ecursive estimator; regression function
Abstract

We introduce novel families of recursive kernel estimators for the regression function of a real response variable given a random variable that takes values in a semimetric space. Then, we investigate the rate of the almost complete convergence, which is stronger than almost sure convergence. A simulation study is conducted to illustrate the performance of the proposed recursive estimators

Pages
506–518
EDN
JSJXMY
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/156161