Inference and Forecasting for Fractional Autoregressive Integrated Moving Average Models, with an application to US and UK in ation

نویسندگان

  • Marius Ooms
  • Jurgen Doornik
چکیده

We discuss computational aspects of likelihood-based speci cation, estimation, inference, and forecasting of possibly nonstationary series with long memory. We use the arfima(p; d; q) model with deterministic regressors and we compare sampling characteristics of approximate and exact rst-order asymptotic methods. We extend the analysis using a higher-order asymptotic method, suggested by Cox and Reid (1987). EÆcient computation and simulation allow us to apply parametric bootstrap inference as well. We investigate the relevance of the di erences between the methods for the time-series analysis of monthly core consumer price in ation in the US and quarterly overall consumer price in ation in the UK. We concentrate on (stationarity) tests for the order of integration and on inference for out-of-sample forecasts of the price level. * Econometric Institute, Erasmus University Rotterdam, The Netherlands. ** NuÆeld College, New Road, Oxford OX1 1NF, UK.

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تاریخ انتشار 2000