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Effects of temporal aggregation on estimates and forecasts of fractionally integrated processes : a Monte Carlo study
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Souza, L. R. and Smith, Jeremy (2004) Effects of temporal aggregation on estimates and forecasts of fractionally integrated processes : a Monte Carlo study. International Journal of Forecasting, Volume 20 (Number 3). pp. 487-502. doi:10.1016/S0169-2070(03)00066-9 ISSN 0169-2070.
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Official URL: http://dx.doi.org/10.1016/S0169-2070(03)00066-9
Abstract
For a fractionally integrated ARFIMA(p,d,q) model, temporal aggregation changes the order of the process to an ARFIMA(p,d,infinity), while leaving the value of d unchanged. This paper analyses the effects of temporal aggregation on the estimated long memory parameter, d, using both semi-parametric and parametric estimation methods. We find that if, for the non-aggregated series, the bias in the fractional parameter is large due to the influence of short run AR and MA parameters, temporal aggregation can reduce this bias. We compare aggregated forecasts from the underlying (non-aggregated) series with forecasts from the aggregated series and find that for d < 0, forecasts from the aggregated series are generally superior. For d > 0, the forecast comparison results are less clear-cut. (C) 2003 International Institute of Forecasters. Published by Elsevier B.V. All rights reserved.
Item Type: | Journal Article | ||||
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Subjects: | H Social Sciences > HC Economic History and Conditions H Social Sciences > HD Industries. Land use. Labor > HD28 Management. Industrial Management |
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Divisions: | Faculty of Social Sciences > Economics | ||||
Journal or Publication Title: | International Journal of Forecasting | ||||
Publisher: | Elsevier | ||||
ISSN: | 0169-2070 | ||||
Official Date: | 2004 | ||||
Dates: |
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Volume: | Volume 20 | ||||
Number: | Number 3 | ||||
Number of Pages: | 16 | ||||
Page Range: | pp. 487-502 | ||||
DOI: | 10.1016/S0169-2070(03)00066-9 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published |
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