Truncated Cauchy Power Odd Fréchet-G Family of Distributions: Theory and Applications

The truncated Cauchy power odd Fréchet-G family of distributions is presented in this article. This family’s unique models are launched. Statistical properties of the new family are proposed, such as density function expansion, moments, incomplete moments, mean deviation, Bonferroni and Lorenz curve...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: M. Shrahili, I. Elbatal
Formato: article
Lenguaje:EN
Publicado: Hindawi-Wiley 2021
Materias:
Acceso en línea:https://doaj.org/article/28de1da324aa4a6aad6d26ed4c59a6bb
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
Descripción
Sumario:The truncated Cauchy power odd Fréchet-G family of distributions is presented in this article. This family’s unique models are launched. Statistical properties of the new family are proposed, such as density function expansion, moments, incomplete moments, mean deviation, Bonferroni and Lorenz curves, and entropy. We investigate the maximum likelihood method for predicting model parameters of the new family. Two real-world datasets are used to show the importance and flexibility of the new family by using the truncated Cauchy power odd Fréchet exponential model as example of the family and compare it with some known models, and this model proves the importance and the flexibility for the new family.