A Generalization of Skew t-Normal Distribution and Modeling of Nickel Pollution in Shadegan Wetland

The skew t-normal distribution has skewness and kurtosis coefficients with larger range than the skew-normal distribution can be used for modeling some asymmetric data in a number of applications. In this paper, a new generalization of the skew t-normal distribution and some of its properties are considered. Also, three theorems for constructing a new generalized skew t-normal distribution are represented. Next, the skew-normal, skew t-normal and new generalized skew t-normal distributions are applied to fit a suitable probability distribution to the Nickel pollution data of Shadegan wetland in south-west of Iran. Finally, suggestions and conclusion are given.