Asymptotic properties of the estimator of the conditional distribution for associated functional data Cover Image

Właściwości asymptotyczne szacunku rozkładu warunkowego dla powiązanych danych funkcjonalnych
Asymptotic properties of the estimator of the conditional distribution for associated functional data

Author(s): Mohamed Mehdi Hamri, Abdassamad Dib, Abbes Rabhi
Subject(s): Economy
Published by: Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
Keywords: nonparametric estimation; small ball probability; quasi-associated data

Summary/Abstract: The purpose of the paper was to investigate by the kernel method a nonparametric estimate of the conditional density function of a scalar response variable given a random variable taking values in a separable real Hilbert space when the observations are quasi-associated dependent. Under some general conditions, the authors established the pointwise almost complete consistencies with rates of this estimator. The principal aim is the investigate the convergence rate of the proposed estimator.

  • Issue Year: 26/2022
  • Issue No: 3
  • Page Range: 21-34
  • Page Count: 14
  • Language: English
Toggle Accessibility Mode