On the Determination of Cycles and Randomness of Sunspot Series Using the Periodogram

Iberedem Aniefiok Iwok


A periodogram device was applied to the sunspot series  $X^*_t$ . The analysis resulted in a period estimate of  $10.8\approx 11$ years. The periodogram was displayed graphically and the largest peak corresponded to a frequency of $0.0926$. A significant test on randomness of the series was also carried out to ascertain this result. It was observed that the period 10.8 which accounted for 80.68\% of the variance of  $X_t$ was statistically significant at the 0.05 level.

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DOI: http://dx.doi.org/10.5539/jmr.v5n1p102

Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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