Spectral density estimation for stationary stable random fields
Applicationes Mathematicae, Tome 23 (1996) no. 2, pp. 107-133
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
We consider a stationary symmetric stable bidimensional process with discrete time, having the spectral representation (1.1). We consider a general case where the spectral measure is assumed to be the sum of an absolutely continuous measure, a discrete measure of finite order and a finite number of absolutely continuous measures on several lines. We estimate the density of the absolutely continuous measure and the density on the lines.
DOI :
10.4064/am-23-2-107-133
Keywords:
(S.α.S) process, double kernel method, periodogram, Jackson kernel
Affiliations des auteurs :
Rachid Sabre 1
@article{10_4064_am_23_2_107_133,
author = {Rachid Sabre},
title = {Spectral density estimation for stationary stable random fields},
journal = {Applicationes Mathematicae},
pages = {107--133},
year = {1996},
volume = {23},
number = {2},
doi = {10.4064/am-23-2-107-133},
zbl = {0846.62067},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am-23-2-107-133/}
}
TY - JOUR AU - Rachid Sabre TI - Spectral density estimation for stationary stable random fields JO - Applicationes Mathematicae PY - 1996 SP - 107 EP - 133 VL - 23 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4064/am-23-2-107-133/ DO - 10.4064/am-23-2-107-133 LA - en ID - 10_4064_am_23_2_107_133 ER -
Rachid Sabre. Spectral density estimation for stationary stable random fields. Applicationes Mathematicae, Tome 23 (1996) no. 2, pp. 107-133. doi: 10.4064/am-23-2-107-133
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