International Scholarly Research Notices / 2012 / Article / Tab 1

Research Article

An L-Moment-Based Analog for the Schmeiser-Deutsch Class of Distributions

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



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