R/S analysis of the Dst index


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Abstract

The paper addresses estimation of the Hurst exponent for time series of the hourly values of the Dst index for the period from 1957 to 2011. It is found that the Hurst exponent is 0.79–0.94 for yearly intervals and 0.8–1.0 for monthly intervals. Based on R/S graphs, the Dst cycles are identified; they range from 3–4 months to 2.2 years and from 8.5 to 22 years in length. It is shown that a Dst time series can be quite satisfactorily described by an α-stable Levy process.

About the authors

B. V. Kiselev

St. Petersburg Branch, Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation

Author for correspondence.
Email: kiselev_bv@mail.ru
Russian Federation, St. Petersburg, 191023

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