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Modelling for the Wavelet Coefficients of ARFIMA Processes


  • Kei Nanamiya


We consider the model for the discrete nonboundary wavelet coefficients of ARFIMA processes. Although many authors have explained the utility of the wavelet transform for the long dependent processes in semiparametrical literature, there have been a few studies in parametric setting. In this paper, we restrict the Daubechies wavelets filters to make the form of the (general) spectral density function of these coefficients clear.

Suggested Citation

  • Kei Nanamiya, 2013. "Modelling for the Wavelet Coefficients of ARFIMA Processes," Global COE Hi-Stat Discussion Paper Series gd12-281, Institute of Economic Research, Hitotsubashi University.
  • Handle: RePEc:hst:ghsdps:gd12-281

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    References listed on IDEAS

    1. Evi Pappa, 2009. "The Effects Of Fiscal Shocks On Employment And The Real Wage," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 50(1), pages 217-244, February.
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    discrete wavelet transform; long memory process; spectral density function;

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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