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Exact(29)
The standard deviation estimates show that the estimator is efficient.
These two values are in the same order of magnitude as the smallest and largest standard deviation estimates of the temperature time series respectively.
By a close inspection, one can see that its formal standard deviation estimates have an annual periodicity due to external field contributions to the magnetic data.
The standard deviation estimates would be considerably different if we modelled the time series using independent normal variables (Tyralis and Koutsoyiannis 2011).
These two values are in the same order of magnitude as the smallest and average standard deviation estimates of the time series respectively.
For example if the poverty data were regarded as being normal in distribution, then the values in Table 1 lead to mean and standard deviation estimates n B (222,197),n W (351,233) with corresponding SR and FR tail ratios in Fig. 1.
Similar(31)
The weights used for temporal filtering are derived from the motion estimation reliabilities and from the noise standard deviation estimate.
Error bars are one standard deviation, estimated from bootstrap resampling of the stratigraphic ranges of species with 1000 iterations.
Consequently, there is no reason to keep this trend in the standard deviation estimate.
Therefore, a short window seems necessary to quickly adapt the standard deviation estimate in transients.
with (hat {boldsymbol {sigma }}_{jks}^{0}) denoting the standard deviation estimate in each spatial direction of the feature space.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com