## Abstract A mean square error criterion is proposed in this paper to provide a systematic approach to approximate a longβmemory time series by a shortβmemory ARMA(1, 1) process. Analytic expressions are derived to assess the effect of such an approximation. These results are established not only
The use of the bloomfield model as an approximation to ARMA processes in the context of fractional integration
β Scribed by L.A Gil-Alana
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 539 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0895-7177
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β¦ Synopsis
In this article, we propose the use of a model proposed by Bloomfield [1] as an approximation to the ARMA structure underlying the I(0) disturbances in the context of fractional integration. For this purpose, we use tests due to Robinson [2] and show, via Monte Carlo simulations, that the power properties of the tests are not much affected by the use of this nonparametric approach. A small empirical application is also carried out at the end of the article. (~) 2004 Elsevier Ltd. All rights reserved.
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