Research Article

A Logistic -Moment-Based Analog for the Tukey - , , , and - System of Distributions

Figure 4

Two asymmetric - distributions pdfs and their cdfs. The parameters of skew ( ) and kurtosis ( ) are based on (A.2) in Appendix A. The parameters of -skew ( ) and -kurtosis ( ) are based on (2.32) and (2.33). The distribution in (b) is a local pdf in the range of where (2.7) yields .
245986.fig.004a
(a)
245986.fig.004b
(b)