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Seasonal generalized AR models

Richard Hunt, Shelton Peiris and Neville Weber

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 3, 1065-1080

Abstract: This paper looks at a novel type of seasonality labeled as a seasonal Generalized auto-regressive (GAR) model. The seasonal GAR models are found to be short-memory models, and expressions for the autocorrelation function and large sample results for the parameter estimates are established. Traditional Box-Jenkins seasonality models and Gegenbauer seasonality models are compared with the seasonal GAR model. Finally, the three methods are compared in the analysis of a specific process - the Mauna Loa CO2 data - showing that in this case, the seasonal GAR model provides forecasts with a lower mean squared error.

Date: 2024
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DOI: 10.1080/03610926.2022.2100422

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