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The American Statistician, 1988
We critically review the development of the concept of kurtosis. We conclude that it is best to define kurtosis vaguely as the location- and scale-free movement of probability mass from the shoulders of a distribution into its center and tails and to recognize that it can be formalized in many ways.
Balanda K.P., Macgillivray H.L.
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We critically review the development of the concept of kurtosis. We conclude that it is best to define kurtosis vaguely as the location- and scale-free movement of probability mass from the shoulders of a distribution into its center and tails and to recognize that it can be formalized in many ways.
Balanda K.P., Macgillivray H.L.
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THE RELATIONSHIPS BETWEEN SKEWNESS AND KURTOSIS
The Australian Journal of Statistics, 1988 Theoretical considerations of kurtosis, whether of partial orderings of distributions with respect to kurtosis or of measures of kurtosis, have tended to focus only on symmetric distributions.
Balanda, K. P., MacGillivray, H. L.
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2016
Diffusion kurtosis imaging (DKI) is a recent imaging method that probes the diffusion of water molecules. Whereas diffusion tensor imaging (DTI) models the diffusion as a 3D Gaussian function, DKI takes it one step further by additionally quantifying the degree of non-Gaussian diffusion.
Veraart, Jelle, Sijbers, Jan
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Diffusion kurtosis imaging (DKI) is a recent imaging method that probes the diffusion of water molecules. Whereas diffusion tensor imaging (DTI) models the diffusion as a 3D Gaussian function, DKI takes it one step further by additionally quantifying the degree of non-Gaussian diffusion.
Veraart, Jelle, Sijbers, Jan
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Is Kurtosis Really "Peakedness?"
The American Statistician, 1970Abstract Kurtosis is best described not as a measure of peakedness versus flatness, as in most texts, but as a measure of unimodality versus bimodality.
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The Journal of Experimental Education, 1943
" Given two frequency distributions which have the same variability as measured by the standard deviation, they may be relatively more or less flat-topped than the normal curve. If more flat-topped I term them platy kurtic, if less flat-topped leptokurtic, and if equally flat-topped mesokurtic.
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" Given two frequency distributions which have the same variability as measured by the standard deviation, they may be relatively more or less flat-topped than the normal curve. If more flat-topped I term them platy kurtic, if less flat-topped leptokurtic, and if equally flat-topped mesokurtic.
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Journal of Sedimentary Research, 1968
Abstract Moment kurtosis and graphic 'kurtosis' statistics do not necessarily measure either 'peakedness' or peakedness relative to thenormal distribution. Graphic 'kurtosis' statistics may be largely unrelated to moment kurtosis.
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Abstract Moment kurtosis and graphic 'kurtosis' statistics do not necessarily measure either 'peakedness' or peakedness relative to thenormal distribution. Graphic 'kurtosis' statistics may be largely unrelated to moment kurtosis.
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