The exponentiated generalized standardized half-logistic distribution

We study a new two-parameter lifetime model called the exponentiated generalized standardized half-logistic distribution, which extends the half-logistic pioneered by Balakrishnan in the eighties. We provide explicit expressions for the moments, generating and quantile functions, mean deviations, Bo...

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Detalhes bibliográficos
Autores: Cordeiro, Gauss M., Andrade, Thiago A. N. de, Bourguignon, Marcelo, Silva, Frank Gomes
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:Brasil
Recursos:Universidade Federal do Rio Grande do Norte (UFRN)
Repositorio:Repositório Institucional da UFRN
Idioma:inglés
OAI Identifier:oai:repositorio.ufrn.br:123456789/50048
Acesso em linha:https://repositorio.ufrn.br/handle/123456789/50048
Access Level:acceso abierto
Palavra-chave:Exponentiated generalized class
Half-logistic distribution
Hazard rate function
Lifetime distribution
Moment
Descrição
Resumo:We study a new two-parameter lifetime model called the exponentiated generalized standardized half-logistic distribution, which extends the half-logistic pioneered by Balakrishnan in the eighties. We provide explicit expressions for the moments, generating and quantile functions, mean deviations, Bonferroni and Lorenz curves, and order statistics. The model parameters are estimated by the maximum likelihood method. A simulation study reveals that the estimators have desirable properties such as small biases and variances even in moderate sample sizes. We prove empirically that the new distribution provides a better fit to a real data set than other competitive models.