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Autoregressive moving average model for matrix time series

Shujin Wu and Ping Bi

Statistical Theory and Related Fields, 2023, vol. 7, issue 4, 318-335

Abstract: In the paper, the autoregressive moving average model for matrix time series (MARMA) is investigated. The properties of the MARMA model are investigated by using the conditional least square estimation, the conditional maximum likelihood estimation, the projection theorem in Hilbert space and the decomposition technique of time series, which include necessary and sufficient conditions for stationarity and invertibility, model parameter estimation, model testing and model forecasting.

Date: 2023
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DOI: 10.1080/24754269.2023.2262360

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