On infinite dimensional periodically correlated random fields: spectrum and evolutionary spectra

DOI10.1016/J.SPL.2015.10.003zbMath1336.60099OpenAlexW2190114416MaRDI QIDQ273750

H. Haghbin, Zohreh Shishebor

Publication date: 22 April 2016

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2015.10.003

zbMATH Keywords

Fourier transformevolutionary spectral representationperiodically correlated random fieldsspectral domainspectral random measure

Mathematics Subject Classification ID

Random fields (60G60) Random measures (60G57)

Related Items (1)

On the asymptotic behavior of the periodograms of periodically correlated spatial processes: Periodicity detection

Cites Work

• Parameter estimates for fractional autoregressive spatial processes
• Cyclostationarity: half a century of research
• A spectral representation for weakly periodic sequences of bounded linear transformations
• Correlation and spectral theory for periodically correlated random fields indexed on \(\mathbb Z^{2}\)
• Hilbertian spatial periodically correlated first order autoregressive models
• On infinite dimensional discrete time periodically correlated processes
• On singularity and Lebesgue type decomposition for operator-valued measueres
• Spectrum of periodically correlated fields
• Periodically Correlated Processes with Discontinuous Correlation Functions
• Periodically Correlated Random Sequences
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