Table 1: Four S-D distributions and their associated -moments, conventional moments (C-moments), and S-D parameters used in the simulation. The values of -skew ( ) and -kurtosis ( ) are based on (3.4) and (3.5). The values of skew ( ) and kurtosis ( ) are based on the expressions in (A.2) of the Appendix.

Distribution -momentsC-momentsS-D parameters
-momentC-moment

(1) Moderate positive skew and platykurtic

(2) Symmetric and mesokurtic





(3) Positive skew and leptokurtic

(4) Negative skew and leptokurtic