Mathematical properties, application and simulation for the exponentiated generalized standardized Gumbel distribution

In this paper, we study the two-parameter exponentiated generalized standardized Gumbel distribution, which consists of a simple generalization of the Gumbel distribution. We investigate the power of fit of the proposed distribution to real data and study via Monte Carlo simulation the behavior of t...

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Detalles Bibliográficos
Autores: Andrade, Thiago Alexandro Nascimento de, Gomes-Silva, Frank, Fernandez, Luz Milena
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:Brasil
Institución:Universidade Estadual de Maringá (UEM)
Repositorio:Acta scientiarum. Technology (Online)
Idioma:inglés
OAI Identifier:oai:periodicos.uem.br/ojs:article/39867
Acceso en línea:http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/39867
Access Level:acceso abierto
Palabra clave:exponentiated generalized distribution
standardized Gumbel distribution.
Estatística
Descripción
Sumario:In this paper, we study the two-parameter exponentiated generalized standardized Gumbel distribution, which consists of a simple generalization of the Gumbel distribution. We investigate the power of fit of the proposed distribution to real data and study via Monte Carlo simulation the behavior of the MLEs for the model parameters. We provide a comprehensive mathematical treatment and prove that the formulas related to the new model are simple and manageable.