Some moment relationships for skew-symmetric distributions. (English) Zbl 1086.62013
Summary: For univariate skew-symmetric distributions in a general setting, odd moments are increasing functions of the skewing parameter and even moments do not depend on this parameter. Skewness, however, has no such order relations. The relationship between skew and the skewing parameter can be complicated.
MSC:
| 62E10 | Characterization and structure theory of statistical distributions |
| 60E15 | Inequalities; stochastic orderings |
Software:
snReferences:
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