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Teoriya Veroyatnostei i ee Primeneniya, 1976, Volume 21, Issue 2, Pages 324–333 (Mi tvp3349)  

This article is cited in 3 scientific papers (total in 3 papers)

On the asymptotically efficient regression estimates in the case of degenerate spectrum

N. P. Rasulov

Tashkent
Full-text PDF (486 kB) Citations (3)
Abstract: Asymptotically efficient regression estimates for the time series
$$ \xi(t)=\sum\alpha_j\theta_j(t)+\Delta t,\qquad t=1,2,\dots, $$
are considered under the assumption that the stationary residual $\Delta(t)$ has the spectral density of the form $f(\lambda)=|P(e^{i\lambda})|^2g(\lambda)$, where $g(\lambda)>0$, $P(z)$ is a polynomial with zeroes on the unit circumference $|z|=1$.
Received: 02.07.1974
English version:
Theory of Probability and its Applications, 1977, Volume 21, Issue 2, Pages 316–324
DOI: https://doi.org/10.1137/1121036
Bibliographic databases:
Language: Russian
Citation: N. P. Rasulov, “On the asymptotically efficient regression estimates in the case of degenerate spectrum”, Teor. Veroyatnost. i Primenen., 21:2 (1976), 324–333; Theory Probab. Appl., 21:2 (1977), 316–324
Citation in format AMSBIB
\Bibitem{Ras76}
\by N.~P.~Rasulov
\paper On the asymptotically efficient regression estimates in the case of degenerate spectrum
\jour Teor. Veroyatnost. i Primenen.
\yr 1976
\vol 21
\issue 2
\pages 324--333
\mathnet{http://mi.mathnet.ru/tvp3349}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=413394}
\zmath{https://zbmath.org/?q=an:0368.62078}
\transl
\jour Theory Probab. Appl.
\yr 1977
\vol 21
\issue 2
\pages 316--324
\crossref{https://doi.org/10.1137/1121036}
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  • https://www.mathnet.ru/eng/tvp/v21/i2/p324
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теория вероятностей и ее применения Theory of Probability and its Applications
     
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