Mathematics (Oct 2022)

Functional Ergodic Time Series Analysis Using Expectile Regression

  • Fatimah Alshahrani,
  • Ibrahim M. Almanjahie,
  • Zouaoui Chikr Elmezouar,
  • Zoulikha Kaid,
  • Ali Laksaci,
  • Mustapha Rachdi

DOI
https://doi.org/10.3390/math10203919
Journal volume & issue
Vol. 10, no. 20
p. 3919

Abstract

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In this article, we study the problem of the recursive estimator of the expectile regression of a scalar variable Y given a random variable X that belongs in functional space. We construct a new estimator and study the asymptotic properties over a general functional time structure. Precisely, the strong consistency of this estimator is established, considering that the sampled observations are taken from an ergodic functional process. Next, a simulation experiment is conducted to highlight the great impact of the constructed estimator as well as the ergodic functional time series data. Finally, a real data analysis is used to demonstrate the superiority of the constructed estimator.

Keywords