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Note that when increases the, Pareto model approaches the constant hold time case because the density function gets more peakier.
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follows the density function (3).
The type-2 beta density function, the F density function, the student t density function and many other density functions are particular cases of the density function defined in (15).
The accuracy of the density function was then assessed by using this density function as input for a forward model.
For Gaussian, the first two moments determine the density function.
The kernel density curve was fit with the density function in R (Team, 2014).
Densities were estimated using the density function in R with default parameters.
However, the estimated damage may contain significant errors because the probability density functions are generally inexact, and the parameters for the functions rely on limited measured data.
Second, from a practical perspective, the use of a uniform prior probability distribution makes it straightforward to implement our approach in standard software because we can obtain the posterior density function directly from the likelihood.
The first four criteria can be easily checked also from experimental data, because relying only on the electron density function and its derivatives in the crystal, whereas others comparisons of quantum mechanical calculations for the HB aggregate and the isolated molecules.
Section Computation of the prior density function describes the calculation of the prior density function of MRF.
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