Abstract
Previous studies of the north-south asymmetry of solar activity (e.g., Carbonell, Oliver, and Ballester, 1993; Oliver and Ballester, 1994) suggest that the asymmetry time series can be represented by means of a multicomponent model made up of a long-term trend, a weak sinusoidal component (with a period close to 12.1 years) and a dominant random process. Here, we have used the rescaled range analysis to study the valuation of the stochastic component of the asymmetry. To avoid the influence of the trend and the sinusoidal component on the result, we have removed both from the original time series. The value obtained for the Hurst exponent (0.717 ± 0.002) suggests that the non-periodic component is a correlated random process.
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References
Bendat, J. S. and Piersol, A. G.: 1986, Random Data. Analysis and Measurement Procedures, 2nd ed., John Wiley and Sons, New York, p. 76.
Bhattacharya, R. N., Gupta, V. K., and Waymire, E.: 1983, J. Appl. Prob. 20, 649.
Carbonell, M., Oliver, R., and Ballester, J. L.: 1993, Astron. Astrophys. 274, 497.
Feder, J.: 1988, Fractals, Plenum Press, New York, p. 149.
Feder, J.: 1991, in T. Riste and D. Sherrington (eds.), Spontaneous Formation of Space-Time Structures and Criticality, Kluwer Academic Publishers, The Netherlands, p. 113.
Garcia, H.: 1990, Solar Phys. 127, 185.
Gottman, J. M.: 1981, Time-Series Analysis, Cambridge University Press, Cambridge, p. 102.
Howard, R.: 1974, Solar Phys. 38, 59.
Hurst, H. E., Black, R. P., and Simaika, Y. M.: 1965, Long-Term Storage: an Experimental Study, Constable, London.
Komm, R. W.: 1995, Solar Phys. 156, 17.
Mandelbrot, B. B. and Wallis, J. R.: 1969a, Water Resour. Res. 5, 321.
Mandelbrot, B. B. and Wallis, J. R.: 1969b, Water Resour. Res. 5, 967.
Mesa, O. J. and Poveda, G.: 1993, Water Resour. Res. 29, 3995.
Oliver, R. and Ballester, J. L.: 1994, Solar Phys. 152, 481.
Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T.: 1988, Numerical Recipes. The Art of Scientific Computing, 3rd ed., Cambridge University Press, Cambrige, pp. 456 and 507.
Rabin, D. M., DeVore, C. R., Sheeley, N. R., Harvey, K. L., and Hoeksema, J. T.: 1991, in A. C. Cox, W. C. Livingston, and M. S. Matthews (eds.), Solar Interior and Atmosphere, The University of Arizona Press, Tucson.
Roy, J. R.: 1977, Solar Phys. 53, 61.
Ruzmaikin, A., Feynman, J., and Robinson, P.: 1994, Solar Phys. 149, 395.
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Oliver, R., Ballester, J.L. Rescaled range analysis of the asymmetry of solar activity. Sol Phys 169, 215–224 (1996). https://doi.org/10.1007/BF00153842
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DOI: https://doi.org/10.1007/BF00153842