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The Hurst phenomenon and fractional Gaussian noise made easy
Koutsoyiannis, D., The Hurst phenomenon and fractional Gaussian noise made easy, Hydrological Sciences Journal, 47 (4), 573–595, 2002.
[doc_id=511]
[English]
The Hurst phenomenon, which characterises hydrological and other geophysical time series, is formulated and studied in an easy manner in terms of the variance and autocorrelation of a stochastic process on multiple temporal scales. In addition, a simple explanation of the Hurst phenomenon based on the fluctuation of a hydrologic process upon different temporal scales is presented. The stochastic process that was devised to represent the Hurst phenomenon, i.e. the fractional Gaussian noise, is also studied on the same grounds. Based on its studied properties, three simple and fast methods to generate fractional Gaussian noise or good approximations of it are proposed.
See also:
http://dx.doi.org/10.1080/02626660209492961
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Tagged under:
Course bibliography: Stochastic methods,
HurstKolmogorov dynamics,
Papers initially rejected,
Stochastics
