Research Article

A Characterization of Power Method Transformations through L-Moments

Figure 6

Boundary region and values of L-skew | 𝜏 3 | and L-kurtosis 𝜏 4 for third-order standard logistic power method pdfs. For asymmetric distributions, valid pdfs exist in the region inside the graphed boundary. For symmetric distributions, valid pdfs exist for 𝜏 4 between 𝑎 4 < 𝜏 4 < 𝑏 4 . The lower boundary point ( 𝑎 3 , 4 ) represents the standard logistic distribution. Note that 𝑎 3 and 𝑎 4 are lower limits and 𝑏 3 and 𝑏 4 are upper limits.
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