We introduce in this study a new strategy to model simultaneously persistence and seasonality inside economic data using different stochastic filters based on the Gegenbauer modelling. The limits and advantages of these filters are discussed in order to improve the adjustment of economic series,...

In this paper, we consider a threshold time series model in order to take into account certain stylized facts of the industrial business cycle, such as asymmetries in the phases of the cycle. Our aim is to point out some thresholds under (over) which a signal of turning point could be given....