The kurtosis of a random variable is often measured by its fourth standardized moment. Similarly, measures of multivariate kurtosis are often functions of a matrix containing all the fourth order moments which can be obtained from a standardized random vector. This paper examines some properties of the fourth moment matrix, and uses them to establish some inequalities between well-known scalar measures of multivariate kurtosis. Theoretical results are applied to multivariate financial returns. © Springer-Verlag Italia 2012.
Some inequalities between measures of multivariate kurtosis, with application to financial returns / Franceschini, C., Loperfido, N.. - (2012), pp. 211-218. [10.1007/978-88-470-2342-0_25]
Some inequalities between measures of multivariate kurtosis, with application to financial returns
Franceschini C.;
2012-01-01
Abstract
The kurtosis of a random variable is often measured by its fourth standardized moment. Similarly, measures of multivariate kurtosis are often functions of a matrix containing all the fourth order moments which can be obtained from a standardized random vector. This paper examines some properties of the fourth moment matrix, and uses them to establish some inequalities between well-known scalar measures of multivariate kurtosis. Theoretical results are applied to multivariate financial returns. © Springer-Verlag Italia 2012.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
