A New Skew-Symmetric Gudermannian-Laplace Distribution with Properties and Application to Wind Speed Data

Authors : Abdullah YILMAZ

Pages : 842-853

Doi:10.47495/okufbed.1231260

View : 23 | Download : 9

Publication Date : 2023-03-10

Article Type : Research Paper

Abstract :We introduce a novel probability distribution that may be used to model both skewed and symmetric data. This new distribution, called the skew-symmetric Gudermanian-Laplace insert ignore into journalissuearticles values(SSGL); distribution, includes a shape parameter that allows it to change the asymmetry. Some fundamental statistical properties of the new distribution have been given explicit analytical expressions. The study also includes parameter estimations and simulation sections. We considered two datasets in the real-world data application. The first dataset is the \`heights of 100 Australian athletes\` data, which is discussed in many studies examining alternative skewed models. The second dataset contains the average wind speeds recorded by the İstanbul Çatalca meteorological observatory in January 2020. We showed that the SSGL distribution outperforms its well-known alternative, the Skew-Normal distribution, in both datasets. As a result of the study, it was concluded that the SSGL distribution is a suitable alternative for modeling skewed data.
Keywords : Çarpık Simetrik dağılım, Çarpıklık, Çarpık Normal dağılım, Gudermanian dağılımı, Laplace dağılımı, Skew symmetric distribution, Skewness, Skew Normal distribution, Gudermanian distribution, Laplace distribution