The problem of measuring the disparity of a particular probability density function from a normal one has been addressed in several recent studies. The most used technique to deal with the problem has been exact expressions using information measures over particular distributions. In this paper, we consider a class of asymmetric distributions with a normal kernel, called Generalized Skew-Normal...

Many popular circular distributions, including the most commonly used von Mises distribution, are typically symmetric around a modal direction. To enlarge this class, the authors recently discussed families of skew-symmetric distributions, applying this idea to the von Mises model as an important special case. This paper explores further properties of these skew-symmetric families and their mom...

A skew angle estimation approach based on the application of several time-frequency distributions of Cohen's class to the horizontal projection profile of the page is proposed for document processing. Our results prove that the Wigner-Ville is the best trade-off between accuracy and computational cost. Skew estimation Cohen distributions Document page Projection profile

Skewness is often present in a wide range of applied problems. One possible approach to model this skewness is based on the class of skew normal distributions. Fitting such distributions remains an inference challenge in various cases. In this paper, we propose and study novel estimators using weighted moments for the closed multivariate skew-normal distribution.

As in the multivariate setting, the class of elliptical distributions on separable Hilbert spaces serves as an important vehicle and reference point for the development and evaluation of robust methods in functional data analysis. In this paper, we present a simple characterization of elliptical distributions on separable Hilbert spaces, namely we show that the class of elliptical distributions...