The Exponentiated Generalized Gumbel Distribution
A class of univariate distributions called the exponentiated generalized class was recently proposed in the literature. A four-parameter model within this class named the exponentiated generalized Gumbel distribution is defined. We discuss the shapes of its density function and obtain explicit expre...
- Autores:
-
Andrade, Thiago
Rodrigues, Heloisa
Bourguignon, Marcelo
Cordeiro, Gauss
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2015
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/66545
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/66545
http://bdigital.unal.edu.co/67573/
- Palabra clave:
- 51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Gumbel Distribution
Maximum Likelihood
Moment
Rényi Entropy
Distribución Gumbel
Entropía de Rényi
Máxima verosimilitud
Momentos.
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | A class of univariate distributions called the exponentiated generalized class was recently proposed in the literature. A four-parameter model within this class named the exponentiated generalized Gumbel distribution is defined. We discuss the shapes of its density function and obtain explicit expressions for the ordinary moments, generating and quantile functions, mean deviations, Bonferroni and Lorenz curves and Rényi entropy. The density function of the order statistic is derived. The method of maximum likelihood is used to estimate model parameters. We determine the observed information matrix. We provide a Monte Carlo simulation study to evaluate the maximum likelihood estimates of model parameters and two applications to real data to illustrate the importance of the new model. |
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