Asymptotic normality of kernel estimator of $\psi$-regression function for functional ergodic data

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Laksaci ALI; Benziadi Fatima; Gheriballak Abdelkader;
  • Publisher: BİSKA Bilisim Company
  • Journal: New Trends in Mathematical Sciences (issn: 2147-5520, eissn: 2147-5520)
  • Publisher copyright policies & self-archiving
  • Related identifiers: doi: 10.20852/ntmsci.2016116030
  • Subject: Kernel estimate | robust regression. | Applied mathematics. Quantitative methods | Mathematics | T57-57.97 | functional data | ergodic data | QA1-939
    arxiv: Statistics::Methodology

In this paper we consider the problem of the estimation of the $\psi$-regression function when the covariates take values in an infinite dimensional space. Our main aim is to establish, under a stationary ergodic process assumption, the asymptotic normality o... View more
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