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Multivariate extreme value distributions are particularly suitable to model the tails of multidimensional phenomena.
The algebraic expressions in terms of standard random variable (srv) are smooth and continuous could efficiently model the tails of the probability distributions of the outputs (Fig. 5).
This paper uses CVaR as the risk measure and applies EVT to model the tails of the return series so as to estimate risk of assets more accurately.
Although other heavy-tail distributions could reasonably be applied as well, generalized Pareto distributions were developed based on theoretical arguments to accurately model the tails of a large number of distributions [48], and we observed that this approach could robustly model the different experiments considered in our study.
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For the temporal model, the tail dependence indicates that large prediction errors have stronger correlations, resulting in a fat-tail distribution of the ESS energy.
One of the methods is a tail modelling approach based on the extreme value theory that uses the Generalized Pareto Distribution to model the tail of the obtained distribution.
We therefore used a power-law function, 〈k m 〉 k)∼k γ, wherein k 0=k labels ego degrees, to empirically model the tail of the m-chain neighbor degrees.
According to this model, the tail domain of human nestin would not have resulted from the loss of the RPGR-like cassette and its substitution by the CTR domain but rather from a fast evolution rate leading to loss of its nucleotidase activity.
In Katoh et al. [13], LV TACs were corrected using a PVC model; that model overcorrected the tails of our 82Rb IDIFs.
While such simulations are sufficient for rapid design and for predicting root mean square properties of the beam, large-scale simulations are essential for modeling the tails of the beam.
GATE Monte Carlo simulation was successful for a complete simulation of non-pure radioisotopes, and it was used as a support for estimating suitable functions modeling the tails of the sinograms.
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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