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A Constructive Representation of Univariate Skewed Distributions

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Figure

Figure 1: Effect of two distinct skewing mechanisms.
Figure 2: Grayscale plot of AG for Beta-Normal distributions with varying ψ. Values in the lower left corner of the plot, with vertical hatching, correspond to bimodal Beta-Normal distributions.
Figure 3: Densities p for each of the skewing mechanisms leading to three levels of AG skewness: 0.2 (left column), 0.5 (middle columns) and 0.8 (right column), for Normal (top row), Logistic (middle row) and t 2 (bottom row)
Figure 4: Illustration of the definition of g(x|δ).
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