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Failures of components are statistically independent from each other and do not damage the system.
The projected components are statistically uncorrelated and the rank of the projected data matrix is equal to the data dimensionality.
While the components are statistically significant and reflect major changes in the variability of the data, the connection to the physical properties PCA highlights is always non-trivial.
The sign of the expression of (16) allows us to know whether the two components are statistically independent: if then the two components are independent, if then the two components are statistically dependent and then one of these components can be removed without damaging the estimation of the pdf.
Independent component analysis (ICA) is a recently developed method in which the goal is to find a linear representation of non-Gaussian data so that the components are statistically independent, or as independent as possible.
It is further assumed that the direct and reverberant components are statistically uncorrelated, and thus, the energy spectral density can be written as begin{aligned} Eleft{left|H_{i}left(e^{j2pi f}right)right|^{2}right} = left|H_{d,i}left(e^{j2pi f}right)right|^{2} + Eleft{left|H_{r,i}left(e^{j2pi f}right)right|^{2}right}.
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For efficient bioethanol production, four major media components were statistically optimized by response surface methodology (RS M.
Aside from IC3 and IC5, which are considered to reflect the CME, other temporal components, being statistically independent, may represent the implicit information which needs a further research.
Differential components were statistically identified based on two criteria, the amplitude or the frequency.
Statistical significance levels of the entropy measures showed that 15 wavelet entropy components
FCI provides a clear definition of each component and all three components were statistically significant, at least in univariate analysis.
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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