Analysis of the kurtosis in a skew distribution

Some methods usefull to analyze the kurtosis in skew distributions are studied. We consider some indexesand the diagram of kurtosis proposed by Zenga. We define left and right kurtosis domination. We consider the above instruments to study the kurtosis in the skew Normal Distribution.

In the present paper are studied some methods usefull to analize the kurtosis in skew distributions. First of all, we consider some indexes and the diagram of kurtosis proposed by Zenga which measure the changes in kurtosis before and after the median. We propose a trasformation of the r.v. D and S which can show clearly the changes of the distribution when a parameter varies having fixed the median and the absolute mean value from the median. Then we define left and right kurtosis domination. As an example, we consider the above instruments to study the kurtosis in the Skew Normal Distribution.