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Solar Physics

, Volume 257, Issue 2, pp 371–381 | Cite as

Time Series Modeling of Sunspot Numbers Using Long-Range Cyclical Dependence

Article

Abstract

This paper deals with the analysis of the sunspot number time series using a new technique based on cyclical long-range dependence. The results show that sunspot numbers have a periodicity of 130 months but, more importantly, that the series is highly persistent, with an order of cyclical fractional integration slightly above 0.30. That means that the series displays long memory, with a large degree of dependence between the observations that tends to disappear very slowly in time.

Keywords

Fractional integration Long-range dependence Sunspot cycles Sunspot numbers 

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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Faculty of EconomicsUniversity of NavarraPamplonaSpain

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