Spectral representation and asymptotic properties of certain deterministic fields with innovation components
type: Item
instance of: scholarly article
title: Spectral representation and asymptotic properties of certain deterministic fields with innovation components
zbMATH Open document ID: 1032.62091
author: Guy Cohen
author: Joseph M. Francos
publication date: 2003-12-16T00:00:00Z
review text: A special class of homogeneous random fields is considered. Cases of complex and real valued random fields are investigated. The spectral representation of the field and its covariance sequence are derived and studied. Properties of the spectral pseudo-density are investigated. The authors derive necessary and sufficient conditions for mean and strong ergodicity of the first and second order moments.
Mathematics Subject Classification ID: 62M40
Mathematics Subject Classification ID: 62J05
Mathematics Subject Classification ID: 60G60
zbMATH DE Number: 2018322
zbMATH Keywords: evanescent random fields
zbMATH Keywords: resolution
zbMATH Keywords: measurable transformations
zbMATH Keywords: spectral representation
zbMATH Keywords: ergodicity
reviewed by: Andriy Olenko
MaRDI profile type: Publication
full work available at URL: s00440-003-0287-x
OpenAlex ID: W2005344802
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DOI: 10.1007/S00440-003-0287-X
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 2018322