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The role of magnetic resonance imaging (MRI) in breast cancer molecular subtypes. [PDF]

Pol J Radiol
Xu R, Miao Z, Zuo X, Lu L, Luo P, Li G.
europepmc   +1 more source

Relation between socio-economic deprivation and chronic pain-related burden: a cross-sectional evaluation in a secondary care pain rehabilitation clinic. [PDF]

BMJ Public Health
Vowles KE, Witkiewitz K, Del Rosario C, Agnew F, Mccarron M, Briggs C, Rainey D, Brooks J.   +7 more
europepmc   +1 more source

Distribution of Toxic and Essential Elements in Autopsy Organs of Subjects Living in South-Eastern Poland. [PDF]

Int J Mol Sci
Flieger W, Niedzielski P, Flieger M, Wojciechowska Z, Proch A, Proch J, Forma A, Torbicz A, Majerek D, Teresiński G, Baj J, Dzierżyński E, Flieger J.   +12 more
europepmc   +1 more source

Study on the Effectiveness of Combining Different Hearing Test Techniques in Aiding the Diagnosis of NIHL Using a Cross-sectional Survey. [PDF]

Noise Health
Wu L, Yu C, Zeng A, Li J, Li Y, Qiu W, Zhang M.   +6 more
europepmc   +1 more source

A new multivariate kurtosis and its asymptotic distribution

A new multivariate kurtosis and its asymptotic distribution
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The Mardia’s Kurtosis of a Multivariate GARCH Model

2022
The Mardia's kurtosis of a random vector with nonsingular covariance matrix and finite fourth-order moments is the fourth moment of the Mahalanobis distance of the random vector from its mean. In particular, the Mardia's kurtosis of a nondegenerate random variable with finite fourth moment coincides with its fourth standardized moment.
Franceschini C., Loperfido N.
openaire   +4 more sources

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 Móri
exaly   +4 more sources