Geodesic
Reducing the bias of the wavelet estimate of spectral density
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 6 (2013), pp. 27-36

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This paper is devoted to the development of methods of the bias reduction for a wavelet estimate of spectral density of a stationary discrete time random process. The method is based on an estimate for the upper boundary of the bias obtained limited spectral densities satisfying the Lipschitz condition. These results can be used for creating algorithms for the calculation of wavelet estimates of spectral densities with a given accuracy.
Keywords: wavelet estimate bias, spectral density, stationary random process. 
@article{VTGU_2013_6_a3,
     author = {N. V. Semenchuk},
     title = {Reducing the bias of the wavelet estimate of spectral density},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {27--36},
     publisher = {mathdoc},
     number = {6},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2013_6_a3/}
}
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N. V. Semenchuk. Reducing the bias of the wavelet estimate of spectral density. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 6 (2013), pp. 27-36. http://geodesic.mathdoc.fr/item/VTGU_2013_6_a3/