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Metabolic, perfusion, and diffusion imaging enhance diagnosis and prognosis of H3K27-altered diffuse midline gliomas. [PDF]
Qiu J +14 more
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Modeling social support and life satisfaction in running groups through stress management. [PDF]
Kurşun E, Kim J, Gümüş H, Uzun NB.
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A new multivariate kurtosis and its asymptotic distribution
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Measures of multivariate skewness and kurtosis in high-dimensional framework
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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\|^
Móri, T. F. +2 more
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The null distribution of multivariate kurtosis
Communications in Statistics Part B: Simulation and Computation, 1983The paper introduces a x2-approximation to multivariate kurtosis b2,punder normality. It requires calculating the third moment of b2,pwhich is obtained. We compare the approximation with simulated percentage points and the normal approximation, and find it to be adequate for p=l and 2.
K V Mardia
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A Note on Measures of Multivariate Kurtosis
Biometrical Journal, 1989AbstractWe propose a measure of multivariate kurtosis suggested from Mardia's measure of multivariate skewness b1,p, and examine its relationship both to Mardia's measure of multivariate kurtosis b2,p, and to a smooth test of multivariate kurtosis Ǔ42.
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