We examine if US inflation rates series can be characterized by a long-memory model, by a model with occasional level shifts or by a new model, which jointly captures the two features. Through simulations we show that this new model can be usefully applied in practice. For 23 inflation rate...

A key application of long memory time series models concerns inflation. Long memory implies that shocks have a long-lasting effect. It may however be that empirical evidence for long memory is caused by neglecting one or more level shifts. Since such level shifts are not unlikely for inflation,...

We examine recursive out-of-sample forecasting of monthly postwarU.S. core inflation and log price levels. We use theautoregressive fractionally integrated moving average model withexplanatory variables (ARFIMAX). Our analysis suggests asignificant explanatory power of leading indicators...