In 1964 van Zwet proposed a series of axioms for ordering measures of skewness.
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These are analogous to the alternative measures of skewness that are not based on ordinary moments.
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Use of L-moments in place of moments provides a measure of skewness known as the L-skewness.
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Other names for this measure are Galton's measure of skewness, the Yule Kendall index and the quartile skewness,
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The parameter ? equals the difference between the distribution s mean and mode and can be viewed as unnormed measure of skewness.
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Other measures of skewness have been used, including simpler calculations suggested by Karl Pearson ( not to be confused with Pearson's moment coefficient of skewness, see above ).
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Like all measures of skewness, the medcouple is positive for distributions that are skewed to the right, negative for distributions skewed to the left, and zero for symmetrical distributions.
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These trimmed midranges are also of interest as descriptive statistics or as L-estimators of central location or skewness : differences of midsummaries, such as midhinge minus the median, give measures of skewness at different points in the tail.
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