Revista Integración, temas de matemáticas.
Vol. 33 No. 1 (2015): Revista Integración, temas de matemáticas
Research and Innovation Articles

A version of transmuted generalized Rayleigh distribution

Yuri A. Iriarte
Universidad de Atacama
Juan M. Astorga
Universidad de Atacama

Published 2015-05-21

Keywords

  • Generalized Rayleigh distribution,
  • transmuted generalized Rayleigh distribution,
  • quadratic rank transmutation map

How to Cite

Iriarte, Y. A., & Astorga, J. M. (2015). A version of transmuted generalized Rayleigh distribution. Revista Integración, Temas De matemáticas, 33(1), 83–95. Retrieved from https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/4771

Abstract

Statistical analysis procedures’s quality depends on the proper use of the probability distributions. For that reason, many probability distributions have been generalized. For example, Vodă in [13] introduced the generalized Rayleigh distribution, a model widely used in reliability analysis. In this article, we introduce an extension of the generalized Rayleigh distribution using the quadratic rank transmutation map studied by Shaw and Buckley in [12]. We study the main properties of this new distribution. Statistical inference studies are done. A real data application is shown. Finally, the main conclusions of this paper are presented.

To cite this article: Y.A. Iriarte, J.M. Astorga, Una versión de la distribución Rayleigh generalizada transmutada, Rev. Integr. Temas Mat. 33 (2015), no. 1, 83-95.

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