A transmuted version of the generalized half-normal distribution

• Salinas, Hugo S. ^[1] ; Iriarte, Yuri A. ^[2] ; Astorga, Juan M. ^[1]
  1. [1] Universidad de Atacama

     Universidad de Atacama

     Copiapo, Chile

     
  2. [2] Universidad de Antofagasta

     Universidad de Antofagasta

     Antofagasta, Chile

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 38, Nº. 3, 2019, págs. 567-583
• Idioma: inglés
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• Resumen

  • An extension of the generalized half-normal distribution, given by Cooray and Ananda [5], is proposed and studied. We use the quadratic rank transmutation map to generate a transmuted version of the generalized half-normal distribution. We study some probability properties, discuss maximum likelihood estimation and present real data application indicating that the new distribution can improve the generalized half-normal distribution in fitting real data.