Kernel regression with functional response

Article, Other literature type English OPEN
Ferraty, Frédéric; Laksaci, Ali; Tadj, Amel; Vieu, Philippe;
  • Publisher: Shaker Heights, OH : Institute of Mathematical Statistics
  • Journal: issn: 1935-7524
  • Publisher copyright policies & self-archiving
  • Related identifiers: doi: 10.1214/11-EJS600
  • Subject: 62G08 (62G20) | Uniform almost complete convergence | 62G08 | entropy | kernel estimators | functional data | semi-metric space
    arxiv: Statistics::Theory | Statistics::Methodology

We consider kernel regression estimate when both the response variable and the explanatory one are functional. The rates of uniform almost complete convergence are stated as function of the small ball probability of the predictor and as function of the entropy of the se... View more
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