11. Moreover, the skewness and coefficient of variation depend only on the shape parameter. 12. Since they are both symmetrical their skewness is 0 and the difference is 1. 13. These quantities consistently estimate the theoretical skewness and kurtosis of the distribution, respectively. 14. In 1964 van Zwet proposed a series of axioms for ordering measures of skewness . 15. For the algebraic form of this condition, see Skew lines # Testing for skewness . 16. These are analogous to the alternative measures of skewness that are not based on ordinary moments. 17. Skewness has benefits in many areas.18. A value of skewness equal to zero does not imply that the probability distribution is symmetric. 19. This occurs for the symmetric case of ? = ? = 0, with zero skewness . 20. For non-zero sample skewness one needs to solve a system of two coupled equations.