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High-Resolution Diffusion Kurtosis Imaging of Hippocampus Subfields Across the Healthy Lifespan. [PDF]
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EEG Biomarkers for Affective Disorders Diagnosis: An Evaluation and Validation Study. [PDF]
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Nonparametric inferences for kurtosis and conditional kurtosis
Journal of Shanghai University (English Edition), 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xie, Xiaoheng, He, Youhua
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On Multivariate Skewness and Kurtosis
Theory of Probability and Its Applications, 1994Summary: Let \(X\) be a \(d\)-dimensional standardized random variable \(({\mathbf E}(X) = 0\), \(\text{cov}(X) = 1)\). Then for a multivariate analogue of skewness \(s = {\mathbf E}(\| X \|^ 2 X)\) and kurtosis \(k = {\mathbf E} XX^ T XX^ T - (d + 2)I\) we show that \(\| s\|^ 2 \leq \text{tr }k + 2d\). For infinitely divisible distributions, \(\| s\|^
Tamás F Móri
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Kurtosis transformation and kurtosis ordering [PDF]
, 2003 Leptokurtic distributions can be generated by applying certain non-linear transformations to a standard normal random variable. Within this work we derive general conditions for these transformations which guarantee that the generated distributions are ordered with respect to the partial ordering of van Zwet for symmetric distributions and the partial ...
Klein, Ingo, Fischer, Matthias J.
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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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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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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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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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