Poisson sampling for spectral estimation in periodically correlated processes
Applicationes Mathematicae, Tome 22 (1993) no. 2, pp. 227-266
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
We study estimation problems for periodically correlated, non gaussian processes. We estimate the correlation functions and the spectral densities from continuous-time samples. From a random time sample, we construct three types of estimators for the spectral densities and we prove their consistency.
DOI :
10.4064/am-22-2-227-266
Keywords:
quartic-mean consistency, periodically correlated processes, spectral density functions, Poisson sampling
Affiliations des auteurs :
Vincent Monsan 1
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author = {Vincent Monsan},
title = {Poisson sampling for spectral estimation in periodically correlated processes},
journal = {Applicationes Mathematicae},
pages = {227--266},
year = {1993},
volume = {22},
number = {2},
doi = {10.4064/am-22-2-227-266},
zbl = {0814.62059},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am-22-2-227-266/}
}
TY - JOUR AU - Vincent Monsan TI - Poisson sampling for spectral estimation in periodically correlated processes JO - Applicationes Mathematicae PY - 1993 SP - 227 EP - 266 VL - 22 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4064/am-22-2-227-266/ DO - 10.4064/am-22-2-227-266 LA - en ID - 10_4064_am_22_2_227_266 ER -
%0 Journal Article %A Vincent Monsan %T Poisson sampling for spectral estimation in periodically correlated processes %J Applicationes Mathematicae %D 1993 %P 227-266 %V 22 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4064/am-22-2-227-266/ %R 10.4064/am-22-2-227-266 %G en %F 10_4064_am_22_2_227_266
Vincent Monsan. Poisson sampling for spectral estimation in periodically correlated processes. Applicationes Mathematicae, Tome 22 (1993) no. 2, pp. 227-266. doi: 10.4064/am-22-2-227-266
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