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In this paper, two classes of bilinear time series model are obtained under certain conditions from the general bilinear autoregressive moving average model. Bilinear autoregressive (BAR) and bilinear moving average (BMA) models have been identified. From the general bilinear model, BAR and BMA 1. Introduction Bilinear time series model is a class of time series model, which assume both linear and non-linear components of autoregressive moving average processes. The linear part of the bilineardoi:10.18642/jsata_7100121822 fatcat:q65rxkc64jb45hzblhiry5uwsi