Sentence examples for analytical distribution from inspiring English sources

Nevertheless a reasonable fit with the analytical distribution can still be seen.

Figure 1(b) plots the analytical distribution and its limiting distribution, that is, the Gumbel distribution.

The PSD was represented by an analytical distribution function, for example, the log normal distribution.

Analytical distribution function for landslide area yielded by maximizing Tsallis entropy (Chen et al. 2011) were not used as it is accompanied by complications (Li et al. 2012).

(a) Distribution of the normalised individual TTE for the city of Milan: the distribution of normalised individual TTE can be represented by the analytical distribution (6).

This is true even in cases where the width of the analytical distribution is only a fraction of the original HMMC grid size.

Figure 5 Comparison of Brutus results and analytical distributions.

As expected the analytical distributions obtained by (17) of Corollary 2 match with the empirical distributions for all.

Slight variations are present due to the dependence on total angular momentum, a limited statistical sampling and assumptions made in the derivation of the analytical distributions.

Nevertheless, a similar qualitative agreement has been obtained between the analytical distributions discussed above and empirical distributions from an ensemble of conventional numerical solutions, e.g. not converged (Valtonen and Karttunen 2006, Chapters 7-8 and references therein).

Before we perform a detailed comparison between results obtained by Hermite and Brutus, we first compare the Brutus results with analytical distributions from the literature in order to relate to previous studies.