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Measuring Skewness and Kurtosis
Abstract
The question of how to measure the degree of skewness of a continuous random variable is addressed. In van Zwet (1964) a method for ordering two distributions with regard to skewness is given. Here, using the concept of comparative skewness, we consider properties that a measure of skewness should satisfy. Several extensions of the Bowley measure of skewness taking values on (-1, 1) are discussed. How well these measures reflect one's intuitive idea of skewness is examined. These measures of skewness are extended to measures of kurtosis for symmetric distributions.
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The Advanced Theory of Statistics.
Clarke, G. M., Kendall, M., & Stuart, A. (1978) · Journal of the Royal Statistical Society. Series A (General) · doi:10.2307/2344782 · Cited by 6,658
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On the meaning and use of kurtosis.
DeCarlo, L. T. (1997) · Psychological Methods · doi:10.1037//1082-989x.2.3.292 · Cited by 1,755
A Quantile Alternative for Kurtosis
Moors, J. J. A. (1988) · The Statistician · doi:10.2307/2348376 · Cited by 630
On more robust estimation of skewness and kurtosis
Kim, T.-H., & White, H. (2004) · Finance Research Letters · doi:10.1016/s1544-6123(03)00003-5 · Cited by 522
ECOD: Unsupervised Outlier Detection Using Empirical Cumulative Distribution Functions
Li, Z., Zhao, Y., Hu, X., Botta, N., Ionescu, C., & Chen, G. H. (2023) · IEEE Transactions on Knowledge and Data Engineering · doi:10.1109/tkde.2022.3159580 · Cited by 494
Tests for Normality and Measures of Skewness and Kurtosis: Their Place in Research Reporting
Hopkins, K. D., & Weeks, D. L. (1990) · Educational and Psychological Measurement · doi:10.1177/0013164490504001 · Cited by 324
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- Groeneveld, R. A., & Meeden, G. (1984). Measuring Skewness and Kurtosis. The Statistician. https://doi.org/10.2307/2987742
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