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Up: The long-term variability

2. Jurkevich method

The Jurkevich method is based on the expected mean square deviation and it is less inclined to generate spurious periodicities than Fourier analysis. It tests a run of trial periods around which the data are folded. All data are assigned to m group according to their phases around each trial period and the variance Vi2 for each group, and the sums Vm2 of all groups are computed. For a trial period equal to the true one, Vm2 reaches its minimum, and a "good" period will give a much reduced variance relative to those given by other false trial periods and with almost constant values. Kidger et al. (1992) introduced a fraction of the variance
displaymath1069
where Vm2 is the normalized value. In the normalized plot, a value of Vm2 = 1 means f = 0 and hence there is no periodicity at all. The best periods can be identified from the plot: a value of tex2html_wrap_inline1085 suggests there is a very strong periodicity and a value of f < 0.25 suggests that the periodicity, if genuine, is a weak one.



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