Abstract
We 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 T 2, where T is the length of the time series. Our algorithm allows calculation speed of order T logT . For moderate and large sample sizes, the difference in computation time is substantial.
In standard implementations, the calculation speed (number of arithmetic operations) is of order T 2, where T is the length of the time series. Our algorithm allows calculation speed of order T logT . For moderate and large sample sizes, the difference in computation time is substantial.
Original language | English |
---|---|
Journal | Journal of Time Series Analysis |
Volume | 35 |
Issue number | 5 |
Pages (from-to) | 428–436 |
Number of pages | 9 |
ISSN | 0143-9782 |
DOIs | |
Publication status | Published - Sept 2014 |