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A brief introduction to generalized lambda distributions is given below.
A geometric representation of star-shaped distributions is given in Richter (2014).
The PDF for GBG family of distributions is given by g x, τ, a, b, c = cB a, b - 1 f x ; τ F x ; τ ac - 1 1 - F x ; τ c b - 1. (1.5).
The CDF for the beta-generated family of distributions is given by G ( x ) = 1 B ∫ 0 F ( x ) t α - 1 ( 1 - t ) β - 1 dt, 0 < α, β < ∞, (1).
In the MRPP procedure, the effect size of the difference between distributions is given by a disparity statistic (K), which takes into account differences in group centroids, variances, skewness, kurtosis and shape [53].
Two representative examples for the rRNA V6 region are given in Figure 7, and a summary of the distributions is given in Figure 8. Figure 7 shows the number of reads that contain an individual residue at each position plotted in color.
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The histograms of distributions are given in the Fig. 5.
Numerical data characterizing these distributions are given in Table 8.
The best data distributions are given in this work.
where and are obtained using (16), and marginal and joint eigenvalue distributions are given by.
See Figure 11 where the shapes of the pr i distributions are given.
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