Title of article :
A new class of skew-logistic distribution
Author/Authors :
Mirzadeh, Saeed Department of Mathematics and Statistics - Mashhad Branch - Islamic Azad University , Iranmanesh, Anis Department of Mathematics and Statistics - Mashhad Branch - Islamic Azad University
Abstract :
In this study, the researchers introduce a new class of the logistic distribution which can be used to model the unimodal data with some skewness present. The new generalization is carried out using the basic idea of Nadarajah (Statistics 48(4):872–895, 2014), called truncated-exponential skew-logistic (TESL) distribution. The TESL distribution is a member of the exponential family; therefore, the skewness parameter can be derived easier. Meanwhile, some important statistical characteristics are presented; the real data set and simulation studies are applied to evaluate the results. Also, the TESL distribution is compared to at least five other skew-logistic distributions.
Keywords :
Azzalini skew distributions , Skewness , Skew-logistic distribution , Truncated-exponential skew-symmetric distributions , Truncated-exponential skew-logistic distributions