Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika
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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2013, Number 6(26), Pages 27–36 (Mi vtgu358)  

MATHEMATICS

Reducing the bias of the wavelet estimate of spectral density

N. V. Semenchukab

a Belarusian State University
b Grodno State University
References:
Abstract: 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.
Received: 12.02.2013
Document Type: Article
UDC: 519.24
Language: Russian
Citation: N. V. Semenchuk, “Reducing the bias of the wavelet estimate of spectral density”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2013, no. 6(26), 27–36
Citation in format AMSBIB
\Bibitem{Sem13}
\by N.~V.~Semenchuk
\paper Reducing the bias of the wavelet estimate of spectral density
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2013
\issue 6(26)
\pages 27--36
\mathnet{http://mi.mathnet.ru/vtgu358}
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  • https://www.mathnet.ru/eng/vtgu/y2013/i6/p27
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    Вестник Томского государственного университета. Математика и механика
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