On infinite dimensional periodically correlated random fields: Spectrum and evolutionary spectra
H Haghbin, Z Shishebor - Statistics & Probability Letters, 2016 - Elsevier
Infinite dimensional periodically correlated (PC) random fields are studied in spectral
domain. A spectral characterization is given and harmonizability is established. The …
domain. A spectral characterization is given and harmonizability is established. The …
On the asymptotic behavior of the periodograms of periodically correlated spatial processes: Periodicity detection
Z Shishebor, B Amiri Aghbilagh - Communications in Statistics …, 2019 - Taylor & Francis
In this work, the asymptotic unbiasedness and the asymptotic uncorrelatedness of
periodograms for the periodically correlated spatial processes are given. This will be done …
periodograms for the periodically correlated spatial processes are given. This will be done …
[PDF][PDF] On the existence of Hilbert valued periodically correlated autoregressive processes
N Mohammadi Jouzdani, S Mahmoodi… - Bulletin of the Iranian …, 2017 - bims.iranjournals.ir
In this paper we provide sufficient condition for existence of a unique Hilbert valued
($\mathbb {H} $-valued) periodically correlated solution to the first order autoregressive …
($\mathbb {H} $-valued) periodically correlated solution to the first order autoregressive …
[PDF][PDF] Periodically correlated space-time autoregressive Hilbertian processes of order one
Periodically correlated space-time autoregressive Hilbertian processes of order one Page 214
Periodically correlated space-time autoregressive Hilbertian processes of order one M. Hashemi …
Periodically correlated space-time autoregressive Hilbertian processes of order one M. Hashemi …