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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Principais autores: Cordeiro, Gauss M., Andrade, Thiago A. N. de, Bourguignon, Marcelo, Silva, Frank Gomes
Formato: article
Idioma:English
Publicado em: Canadian Center of Science and Education
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Endereço do item:https://repositorio.ufrn.br/handle/123456789/50048
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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.