| Properties of Skew t-Normal Distribution and Modeling of Pollution Data of Shadegan Wetland | 
								
								  | Ameneh Kheradmandi *    ,  Nahid Sanjari Fasipour    | 
								
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								  | Abstract:       (26512 Views) | 
								
								  | 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. | 
								
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								  | Keywords:  Skew normal distribution, Skew student-t-normal distribution, Skewness parameter, Vanadium pollution. | 
								
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								  | Full-Text  [PDF 443 kb] 
                                    
                                     
                                     
                                    
									  
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								  | Type of Study:  Research |
                                  Subject: 
                                  Statistical Inference Received: 2011/07/4 | Accepted: 2013/08/13 | Published: 2020/02/18
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