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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ri-123456789-500482022-12-08T20:29:24Z The exponentiated generalized standardized half-logistic distribution Cordeiro, Gauss M. Andrade, Thiago A. N. de Bourguignon, Marcelo Silva, Frank Gomes Exponentiated generalized class Half-logistic distribution Hazard rate function Lifetime distribution Moment 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. 2022-12-08T20:29:22Z 2022-12-08T20:29:22Z 2017-05 article CORDEIRO, Gauss M.; et al. The Exponentiated Generalized Standardized Half-logistic Distribution. International Journal of Statistics and Probability, v. 6, p. 24-42, 2017. Disponível em: http://www.ccsenet.org/journal/index.php/ijsp/article/view/67120. Acesso em: 07 dez. 2017 1927-7032 https://repositorio.ufrn.br/handle/123456789/50048 en Acesso Aberto application/pdf Canadian Center of Science and Education |
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Exponentiated generalized class Half-logistic distribution Hazard rate function Lifetime distribution Moment |
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Exponentiated generalized class Half-logistic distribution Hazard rate function Lifetime distribution Moment Cordeiro, Gauss M. Andrade, Thiago A. N. de Bourguignon, Marcelo Silva, Frank Gomes The exponentiated generalized standardized half-logistic distribution |
description |
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. |
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article |
author |
Cordeiro, Gauss M. Andrade, Thiago A. N. de Bourguignon, Marcelo Silva, Frank Gomes |
author_facet |
Cordeiro, Gauss M. Andrade, Thiago A. N. de Bourguignon, Marcelo Silva, Frank Gomes |
author_sort |
Cordeiro, Gauss M. |
title |
The exponentiated generalized standardized half-logistic distribution |
title_short |
The exponentiated generalized standardized half-logistic distribution |
title_full |
The exponentiated generalized standardized half-logistic distribution |
title_fullStr |
The exponentiated generalized standardized half-logistic distribution |
title_full_unstemmed |
The exponentiated generalized standardized half-logistic distribution |
title_sort |
exponentiated generalized standardized half-logistic distribution |
publisher |
Canadian Center of Science and Education |
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2022 |
url |
https://repositorio.ufrn.br/handle/123456789/50048 |
work_keys_str_mv |
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