Poisson sampling for spectral estimation in periodically correlated processes
Applicationes Mathematicae, Tome 22 (1993) no. 2, pp. 227-266
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
@article{10_4064_am_22_2_227_266,
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
Cité par Sources :