偏对称正态分布的若干性质  

Some Properties of Skew Symmetric Normal Distributions

作　　者：陈超 田芫 宗序平[1] CHEN Chao;TIAN Yuan;ZONG Xu-ping(School of Mathematics and Science,Yangzhou University,Yangzhou Jiangsu 225001,China)

机构地区：[1]扬州大学数学科学学院,江苏扬州225001

出　　处：《淮阴师范学院学报（自然科学版）》2019年第1期12-18,共7页Journal of Huaiyin Teachers College;Natural Science Edition

基　　金：国家自然科学基金资助项目(40930952)

摘　　要：定义了偏对称正态分布并研究了其性质.此类分布包括偏均匀正态分布,偏t正态分布,偏拉普拉斯正态分布,偏Logistic正态分布和偏三角正态分布等,探讨了此类分布的一些性质.The property of statistical distribution is a hot topic of scholars'research.Many domestic and foreign scholars have studied the skewed normal distribution and applied it to statistical practice.On this basis,we define the skew symmetric normal distributions and study their properties.This kind of distributions includes skew-uniform normal distributions,skew-t normal distributions,skew-Laplace normal distributions,skew-Logistic normal distributions and skew-triangular normal distributions,and some properties of them are discussed.

关 键 词：偏正态分布 偏度系数 对称分布 矩母函数 

分 类 号：O212.2[理学—概率论与数理统计]