Lomax-Rayleigh Distribution with an Application

Authors

Osvaldo Venegas, Departamento de Ciencias Matema ́ticas y F ́ısicas, Facultad de Ingenier ́ıa, Universidad Cato ́lica de Temuco. Temuco, Chile.Follow
Yuri A. Iriarte, Departamento de Matema ́ticas, Facultad de Ciencias Ba ́sicas, Universidad de Antofagasta, Antofagasta, Chile.Follow
Juan M. Astorga, Departamento de Tecnolog ́ıas de la Energ ́ıa, Facultad Tecnolo ́gica, Universidad de Atacama. Copiapo ́, Chile.Follow
He ́ctor W. Go ́mez, Departamento de Matema ́ticas, Facultad de Ciencias Ba ́sicas, Universidad de Antofagasta, Antofagasta, Chile.Follow

Author Country (or Countries)

Chile.

Abstract

We propose and study a two-parameter univariate distribution called the Lomax-Rayleigh distribution, which is shown to belong to the Lomax-Weibull family of distributions. It is generated using the Lomax-G generator class of distributions. Various structural properties including expressions for the moments, skewness and kurtosis coefficients of the distribution are derived. The model parameters are estimated by moment and maximum likelihood methods. We hope that the distribution proposed here serves as an alternative model to other models with two parameters proposed in the literature for modeling real data in many areas.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/130506

Recommended Citation

Venegas, Osvaldo; A. Iriarte, Yuri; M. Astorga, Juan; and ́ctor W. Go ́mez, He (2019) "Lomax-Rayleigh Distribution with an Application," Applied Mathematics & Information Sciences: Vol. 13: Iss. 5, Article 6.
DOI: http://dx.doi.org/10.18576/amis/130506
Available at: https://digitalcommons.aaru.edu.jo/amis/vol13/iss5/6