A Fast Fractional Difference Algorithm

Andreas Noack Jensen, Morten Ørregaard Nielsen

    36 Citations (Scopus)

    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.
    Original languageEnglish
    JournalJournal of Time Series Analysis
    Volume35
    Issue number5
    Pages (from-to)428–436
    Number of pages9
    ISSN0143-9782
    DOIs
    Publication statusPublished - Sept 2014

    Cite this