Seasonal functional autoregressive models

Authors

Atefeh Zamani, Hossein Haghbin, Maryam Hashemi, Rob J Hyndman

Published

1 March 2022

Publication details

J Time Series Analysis, 43(2), 197-218

Links

 

Functional autoregressive models are popular for functional time series analysis, but the standard formulation fails to address seasonal behaviour in functional time series data. To overcome this shortcoming, we introduce seasonal functional autoregressive time series models. For the model of order one, we derive sufficient stationarity conditions and limiting behaviour, and provide estimation and prediction methods. Moreover, we consider a portmanteau test for testing the adequacy of this model, and we derive its asymptotic distribution. The merits of this model is demonstrated using simulation studies and via an application to hourly pedestrian counts.

R package: Rsfar