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Fig. 7 Cosine series generated by WMF in different scales (D =1.5,γ=1.5, ϕ n =0).

It can be seen that the cosine series generated by WMF have infinitely complex patterns across different scales.

Moreover, it is more difficult or even impossible to predict the time series generated by the system.

We test this procedure on multidimensional time series generated by various non-linear and non-equilibrium models.

The assessments of performance include comparisons between moments and design rainfall depths computed from observed data and from synthetic rainfall series generated by the models.

Since SSA and DWT adopt 'future' values to perform the calculation, the series generated by SSA reconstruction or DWT decomposition contain information of 'future' values.

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This paper evaluates remote sensing approaches for mapping crop phenology using vegetation index time-series generated by fusing Landsat and MODIS (Moderate Resolution Imaging Spectroradiometer) surface reflectance imagery to improve temporal sampling over that provided by Landsat alone.

Fisher's G-test searches periodicity by computing the periodogram of experimental data and tests the significance of the dominant frequency using Fisher's G-statistic; however, it is limited by low frequency resolution for short time-series generated by circadian microarray experiments, which means it is often not adequate to resolve the periodicity of interest (Langmead et al., 2003).

They used bilateral nucleus accumbens (NAcc) seeds (i.e., the fMRI time-series generated by the left and right NAcc) to probe the reward and appetitive drive network by identifying regions with synchronous fMRI responses, and a subgenual anterior cingulate cortex (sgACC) seed to probe the executive control network.

In order to validate the BC further, one might use it to distinguish time series generated either by a model with or a model without alternating stable states.

Random series with identical length to the openloop series were generated by drawing from these distributions, forming the "poisson" group.

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