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Moments or L Moments? An Example Comparing Two Measures of Distributional Shape

J. R. M. Hosking
The American Statistician
Vol. 46, No. 3 (Aug., 1992), pp. 186-189
DOI: 10.2307/2685210
Stable URL: http://www.jstor.org/stable/2685210
Page Count: 4
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Moments or L Moments? An Example Comparing Two Measures of Distributional Shape
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Abstract

The shape of a probability distribution is often summarized by the distribution's skewness and kurtosis. However, alternative measures of skewness and kurtosis based on L moments quantify deviations from the Normal distribution in a way that is more concordant with the powers of goodness-of-fit tests of Normality.

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