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MATHEMATICS
Stationary reversibles processes MA and ARMA
T. M. Tovstik St. Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation
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
Citation:
T. M. Tovstik, “Stationary reversibles processes MA and ARMA”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 10:3 (2023), 530–544
Linking options:
https://www.mathnet.ru/eng/vspua258 https://www.mathnet.ru/eng/vspua/v10/i3/p530
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