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Modelling financial time series with SEMIFAR-GARCH model

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2007

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IMA Journal of Management Mathematics. 2007, 18(4), pp. 395-412. ISSN 1471-678X. eISSN 1471-6798. Available under: doi: 10.1093/imaman/dpm024

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A class of semiparametric fractional autoregressive models with generalized autoregressive conditional heteroskedastic (GARCH) errors, which includes deterministic trends, difference stationarity and stationarity with short- and long-range dependence and heteroskedastic model errors, is very powerful for modelling financial time series. This paper discusses the model fitting, including an efficient algorithm and parameter estimation of GARCH error term, so that the model can be applied in practice. We then illustrate the model and estimation methods with a few of different finance data sets.

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510 Mathematik

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ISO 690FENG, Yuanhua, Jan BERAN, Keming YU, 2007. Modelling financial time series with SEMIFAR-GARCH model. In: IMA Journal of Management Mathematics. 2007, 18(4), pp. 395-412. ISSN 1471-678X. eISSN 1471-6798. Available under: doi: 10.1093/imaman/dpm024
BibTex
@article{Feng2007Model-27581,
  year={2007},
  doi={10.1093/imaman/dpm024},
  title={Modelling financial time series with SEMIFAR-GARCH model},
  number={4},
  volume={18},
  issn={1471-678X},
  journal={IMA Journal of Management Mathematics},
  pages={395--412},
  author={Feng, Yuanhua and Beran, Jan and Yu, Keming}
}
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