Asymptotically Stationary Processes on Amenable Groups

DOI10.1081/SAP-200029493zbMath1061.60049OpenAlexW2139086350MaRDI QIDQ3158190

Bertram M. Schreiber

Publication date: 20 January 2005

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/sap-200029493

zbMATH Keywords

unitary representationconsistent estimatorasymptotically stationary processalmost periodic spectrumameanable group

Mathematics Subject Classification ID

Random fields (60G60) Random fields; image analysis (62M40) Inference from stochastic processes and spectral analysis (62M15) General second-order stochastic processes (60G12) Other transforms and operators of Fourier type (43A32) Positive definite functions on groups, semigroups, etc. (43A35) Character groups and dual objects (43A40)

Cites Work

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• Applications of almost periodic compactifications
• Discrete spectrum of nonstationary stochastic processes on groups
• Asymptotic normality of the spectral density estimators for almost periodically correlated stochastic processes
• Sur certaines propriétés des représentations unitaires des groupes localement compacts
• Correlation theory of almost periodically correlated processes
• Consistent statistical estimate of spectral measure discrete component for a class of random processes
• A note on the structure of Moore groups

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