
handle: 10419/97464
AbstractWe provide a fast algorithm for calculating the fractional difference of a time series. In standard implementations, the calculation speed (number of arithmetic operations) is of order T2, where T is the length of the time series. Our algorithm allows calculation speed of order TlogT. For moderate and large sample sizes, the difference in computation time is substantial. Copyright © 2014 John Wiley & Sons, Ltd.
ddc:330, Computational problems in statistics, circular convolution theorem, fast Fourier transform, Circular convolution theorem; fast Fourier transform; fractional difference, Circular convolution theorem, Time series, auto-correlation, regression, etc. in statistics (GARCH), C63, Fast Fourier transform, Fractional difference, fractional difference, Faculty of Science, Circular convolution theorem, fast Fourier transform, fractional difference, /dk/atira/pure/core/keywords/TheFacultyOfScience, C87, C22, jel: jel:C63, jel: jel:C87, jel: jel:C22
ddc:330, Computational problems in statistics, circular convolution theorem, fast Fourier transform, Circular convolution theorem; fast Fourier transform; fractional difference, Circular convolution theorem, Time series, auto-correlation, regression, etc. in statistics (GARCH), C63, Fast Fourier transform, Fractional difference, fractional difference, Faculty of Science, Circular convolution theorem, fast Fourier transform, fractional difference, /dk/atira/pure/core/keywords/TheFacultyOfScience, C87, C22, jel: jel:C63, jel: jel:C87, jel: jel:C22
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