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Long Range Dependence



Author(s): Gennady Samorodnitsky

Source:
    Journal:Foundations and Trends® in Stochastic Systems
    ISSN Print:1551-3092,  ISSN Online:1551-3106
    Publisher:Now Publishers
    Volume 1 Number 3,

Document Type: Article
Pages: 95 (163-257)
DOI: 10.1561/0900000004

Abstract: The notion of long range dependence is discussed from a variety of points of view, and a new approach is suggested. A number of related topics is also discussed, including connections with non-stationary processes, with ergodic theory, self-similar processes and fractionally differenced processes, heavy tails and light tails, limit theorems and large deviations.