Properties of Skew t-Normal Distribution and Modeling of Pollution Data of Shadegan Wetland

Gomez et al. (2007) introduced the skew t-normal distribution, showing that it is a good alternative to model heavy tailed data with strong symmetrical nature, specially because it has a larger range of skewness than the skew-normal distribution. Gomez et al. (2007) and Lin et al. (2009) described some properties of this distribution. In this paper, we consider some further properties of skew student-t-normal distribution. Also, we present four theorems for constructing of this distribution. Next we illustrate a numerical example to model the Vanadium pollution data in the Shadegan Wetland by using skew student-t-normal distribution.