On the estimation of some functionals of the spectral density function of Gaussian random processes
Teoriâ veroâtnostej i ee primeneniâ, Tome 25 (1980) no. 2, pp. 271-277
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The paper deals with the estimation of some nonlinear functionals of the spectral density function of a Gaussian stationary discrete time random process. The spectral density function being smooth enough, the mean square error of the estimates proposed here is shown to be $O(n^{-1})$, as $n\to\infty$, where $n$ is the sample size.
@article{TVP_1980_25_2_a2,
author = {V. G. Alekseev},
title = {On the estimation of some functionals of the spectral density function of {Gaussian} random processes},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {271--277},
year = {1980},
volume = {25},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1980_25_2_a2/}
}
TY - JOUR AU - V. G. Alekseev TI - On the estimation of some functionals of the spectral density function of Gaussian random processes JO - Teoriâ veroâtnostej i ee primeneniâ PY - 1980 SP - 271 EP - 277 VL - 25 IS - 2 UR - http://geodesic.mathdoc.fr/item/TVP_1980_25_2_a2/ LA - ru ID - TVP_1980_25_2_a2 ER -
V. G. Alekseev. On the estimation of some functionals of the spectral density function of Gaussian random processes. Teoriâ veroâtnostej i ee primeneniâ, Tome 25 (1980) no. 2, pp. 271-277. http://geodesic.mathdoc.fr/item/TVP_1980_25_2_a2/