The Open Mathematics, Statistics and Probability Journal

2009, 1 : 11-15
Published online 2009 February 11. DOI: 10.2174/1876527000901010011
Publisher ID: TOSPJ-1-11

Statistical Properties of the Periodogram for Stable Random Field

M.A. Ghazal
Department of Mathematics, Faculty of Science, Mansoura University, New Damietta, Egypt.

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.