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Motion and Flow Robust Free-Breathing Diffusion Kurtosis Imaging of the Kidney. [PDF]

NMR Biomed
Gilani N, Kumbella M, Bruno M, Veraart J, Li X, Goldberg JD, Basukala D, Chandarana H, Sigmund EE.   +8 more
europepmc   +1 more source

Optimization of Diffusion MRI With Consideration of the Signal Decay in Biological Tissues. [PDF]

Magn Reson Med
Kuczera S, Maier SE.
europepmc   +1 more source

AI-Carbon-Energy: Spillover effects and drivers in interconnected markets. [PDF]

iScience
Zhang M, Pan Y, Su B, Zhou D.
europepmc   +1 more source

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.
core   +6 more sources

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On Multivariate Skewness and Kurtosis

Theory of Probability and Its Applications, 1994
Summary: 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 Mori
exaly   +4 more sources