Statistical Properties of the Periodogram for Stable Random Field
Identifiers and Pagination:Year: 2009
First Page: 11
Last Page: 15
Publisher Id: TOSPJ-1-11
Article History:Received Date: 18/10/2008
Revision Received Date: 3/12/2008
Acceptance Date: 19/12/2008
Electronic publication date: 11/2/2009
Collection year: 2009
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.
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.