RESEARCH ARTICLE
Statistical Properties of the Periodogram for Stable Random Field
M.A. Ghazal*
Department of Mathematics, Faculty of Science, Mansoura University, New Damietta, Egypt.
Article Information
Identifiers and Pagination:
Year: 2009Volume: 1
First Page: 11
Last Page: 15
Publisher Id: TOSPJ-1-11
DOI: 10.2174/1876527000901010011
Article History:
Received Date: 18/10/2008Revision Received Date: 3/12/2008
Acceptance Date: 19/12/2008
Electronic publication date: 11/2/2009
Collection year: 2009
© 2009 Ghazal et al.;
open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: https://creativecommons.org/licenses/by/4.0/legalcode. This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: https://creativecommons.org/licenses/by/4.0/legalcode. This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Abstract
Let X(t) (t ∈ Z) be a discrete stable random field. The problem of estimating the spectral density field based on X(t) is considered. Moments and the asymptotic moments of the spectral sample, the periodogram, based on X(t) are calculated.
Keywords: Stable distributions, stationary stable processes, spectral representation, symmetric stable distribution, stable random field, periodogram..
