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Cited by 3,370

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AN INTRODUCTION TO LONG‐MEMORY TIME SERIES MODELS AND FRACTIONAL DIFFERENCING

Granger, C. W. J., Joyeux, Roselyne·1980·Journal of Time Series Analysis

Abstract

Abstract. The idea of fractional differencing is introduced in terms of the infinite filter that corresponds to the expansion of (1‐B)d. When the filter is applied to white noise, a class of time series is generated with distinctive properties, particularly in the very low frequencies and provides potentially useful long‐memory forecasting properties. Such models are shown to possibly arise from aggregation of independent components. Generation and estimation of these models are considered and applications on generated and real data presented.

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Crossref · 10.1111/j.1467-9892.1980.tb00297.x

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Metadata

Authors
Granger, C. W. J., & Joyeux, R.
Venue
Journal of Time Series Analysis
Publisher
Wiley
Published
1980-01
Volume
1
Issue
1
Pages
15-29
ISSN
  • 0143-9782 (ISSN-L)
  • 1467-9892
OpenAlex
W2055781590
Cited by
3,370
References
0
FWCI
11.15
Type
journal article
Language
en
Open access
closed

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.