Results 111 to 120 of about 16,179 (161)

Metabolic, perfusion, and diffusion imaging enhance diagnosis and prognosis of H3K27-altered diffuse midline gliomas. [PDF]

open access: yesBMC Med
Qiu J   +14 more
europepmc   +1 more source

A new multivariate kurtosis and its asymptotic distribution

open access: yesA new multivariate kurtosis and its asymptotic distribution
openaire  

Measures of multivariate skewness and kurtosis in high-dimensional framework

open access: yesMeasures of multivariate skewness and kurtosis in high-dimensional framework
openaire  

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\|^
Móri, T. F.   +2 more
exaly   +4 more sources

The null distribution of multivariate kurtosis

Communications in Statistics Part B: Simulation and Computation, 1983
The 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
exaly   +2 more sources

A Note on Measures of Multivariate Kurtosis

Biometrical Journal, 1989
AbstractWe 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.
exaly   +2 more sources

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