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Data-driven estimation of semiparametric fractional autoregressive models

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  • Beran, Jan
  • Feng, Yuanhua

Abstract

In this paper data-driven algorithms for fitting SEMIFAR models (Beran, 1999) are proposed. The algorithms combine the data-driven estimation of the nonparametric trend and maximum likelihood estimation of the parameters. For selecting the bandwidth, the proposal of Beran and Feng (1999) based on the iterative plug-in idea (Gasser et al., 1991) is used. Asymptotic properties of the proposed algorithms are investigated. A large simulation study illustrates the practical performance of the methods.

Suggested Citation

  • Beran, Jan & Feng, Yuanhua, 2000. "Data-driven estimation of semiparametric fractional autoregressive models," CoFE Discussion Papers 00/16, University of Konstanz, Center of Finance and Econometrics (CoFE).
    • Handle: RePEc:zbw:cofedp:0016
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    References listed on IDEAS

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    1. Beran, Jan & Ocker, Dirk, 1999. "Volatility of Stock Market Indices - An Analysis based on SEMIFAR Models," CoFE Discussion Papers 99/14, University of Konstanz, Center of Finance and Econometrics (CoFE).
    2. Beran, Jan, 1999. "SEMIFAR Models - A Semiparametric Framework for Modelling Trends, Long Range Dependence and Nonstationarity," CoFE Discussion Papers 99/16, University of Konstanz, Center of Finance and Econometrics (CoFE).
    3. Hall, Peter & Hart, Jeffrey D., 1990. "Nonparametric regression with long-range dependence," Stochastic Processes and their Applications, Elsevier, vol. 36(2), pages 339-351, December.
    4. HÄRDLE, Wolfgang & HALL, Peter & MARRON, Steve, 1992. "Regression smoothing parameters that are not far from their optimum," LIDAM Reprints CORE 978, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Beran, Jan & Ocker, Dirk, 1999. "SEMIFAR Forecasts, with Applications to Foreign Exchange Rates," CoFE Discussion Papers 99/13, University of Konstanz, Center of Finance and Econometrics (CoFE).
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    Cited by:

    1. Beran, Jan & Feng, Yuanhua & Ghosh, Sucharita & Sibbertsen, Philipp, 2002. "On robust local polynomial estimation with long-memory errors," International Journal of Forecasting, Elsevier, vol. 18(2), pages 227-241.
    2. Beran, Jan & Feng, Yuanhua, 2002. "SEMIFAR models--a semiparametric approach to modelling trends, long-range dependence and nonstationarity," Computational Statistics & Data Analysis, Elsevier, vol. 40(2), pages 393-419, August.
    3. Beran, Jan & Feng, Yuanhua & Heiler, Siegfried, 2000. "Modifying the double smoothing bandwidth selector in nonparametric regression," CoFE Discussion Papers 00/37, University of Konstanz, Center of Finance and Econometrics (CoFE).
    4. Beran, Jan & Feng, Yuanhua, 2001. "Iterative plug-in algorithms for SEMIFAR models - definition, convergence and asymptotic properties," CoFE Discussion Papers 01/11, University of Konstanz, Center of Finance and Econometrics (CoFE).

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