A New Generalization of the Maxwell Distribution

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 Eneg´ıa, Facultad Tecnolo´gica, Universidad de Atacama. Copiapo´, Chile.Follow
Alexander Borger, Departamento de Industria y Negocios, Facultad de Ingenier´ıa, Universidad de Atacama, Copiapo´, Chile.Follow
Heleno Bolfarine, Departamento de Estat´ıstica, IME, Universidade de Sa?o Paulo. Sa?o Paulo, Brazil.Follow
Hector W. Gomez, Departamento de Matema´ticas, Facultad de Ciencias Ba´sicas, Universidad de Antofagasta, Antofagasta, ChileFollow

Author Country (or Countries)

Chile.

Abstract

A new univariate three-parameter distribution, the transmuted exponentiated Maxwell distribution, is proposed and studied. This new univariate distribution can be seen as generalization of the Maxwell distribution and its respective exponentiated and transmuted versions. The new generalization is generate using the families of exponentiated and transmuted distributions. Some probabilistic properties are studied, maximum likelihood estimation discussed, derive the functions to be used in reliability studies and present an application with a real data. We hope that the new distribution proposed will serve as an alternative model to the Maxwell and the respective exponentiated and transmuted versions.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110327

Recommended Citation

Venegas, Osvaldo; A. Iriarte, Yuri; M. Astorga, Juan; Borger, Alexander; Bolfarine, Heleno; and W. Gomez, Hector (2017) "A New Generalization of the Maxwell Distribution," Applied Mathematics & Information Sciences: Vol. 11: Iss. 3, Article 27.
DOI: http://dx.doi.org/10.18576/amis/110327
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss3/27