Periodically Correlated Space-Time Autoregressive Hilbertian Processes

In this paper, we introduce periodically correlated space-time autoregressive processes with values in Hilbert spaces. The existence conditions and the strong law of large numbers are established. Moreover, we present an estimator for the autocorrelation parameter of such processes.

Bibliographic Details
Main Authors: M. Hashemi, J. Mateu, A. Zamani
Format: Article
Language:English
Published: Atlantis Press 2021-06-01
Series:Journal of Statistical Theory and Applications (JSTA)
Subjects:
Online Access:https://www.atlantis-press.com/article/125957515/view