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Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, Volume 10, Issue 3, Pages 530–544
DOI: https://doi.org/10.21638/spbu01.2023.307
(Mi vspua258)
 

MATHEMATICS

Stationary reversibles processes MA and ARMA

T. M. Tovstik

St. Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation
References:
Abstract: In this paper, we show how to choose an adequate model of a reversible stationary moving average process of finite order, given the appropriate number of sample correlations. For an order no higher than the fifth, a one-to-one correspondence between the coefficients and correlations of the process is established. For higher-order moving average processes, a mixed autoregression and moving average model is preliminarily fitted to the initial data. This option also has an independent meaning.
Keywords: stationary reversible processes MA, ARMA, estimation of process parameters.
Received: 05.12.2022
Accepted: 16.02.2023
Document Type: Article
UDC: 519.216
MSC: 60G10
Language: Russian
Citation: T. M. Tovstik, “Stationary reversibles processes MA and ARMA”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 10:3 (2023), 530–544
Citation in format AMSBIB
\Bibitem{Tov23}
\by T.~M.~Tovstik
\paper Stationary reversibles processes MA and ARMA
\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
\yr 2023
\vol 10
\issue 3
\pages 530--544
\mathnet{http://mi.mathnet.ru/vspua258}
\crossref{https://doi.org/10.21638/spbu01.2023.307}
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