A generalization of the transmuted Rayleigh distribution

• Hugo S. Salinas ^[1] ; Guillermo Martínez-Flórez ^[2] ; Yuri A. Iriarte ^[3] ; Artur J. Lemonte ^[4]
  1. [1] Universidad de Atacama

     Universidad de Atacama

     Copiapo, Chile

     
  2. [2] Universidad de Córdoba

     Universidad de Córdoba

     Cordoba, España

     
  3. [3] Universidad de Antofagasta

     Universidad de Antofagasta

     Antofagasta, Chile

     
  4. [4] 4Universidade Federal do Rio Grande do Norte. Brasil

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• Localización: Spanish journal of statistics, ISSN-e 2695-9070, Nº. 5, 2023, págs. 55-64
• Idioma: inglés
• DOI: 10.37830/SJS.2023.1.04
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• Resumen

  • In this paper, we introduce a new family of distributions for modeling positive data.

    The new distribution arises from the quotient of two independent random variables: transmuted Rayleigh in the numerator, and beta in the denominator. Structural properties of the new distribution are derived, and an application to real data reveals good performance of this new distribution in practice.