A new Pareto-type distribution with applications in reliability and income data
A new Pareto-type distribution is introduced and studied. This new model is a generalization of the well-known Pareto distribution. We derive some of its probabilistic and inferential properties. We deduce the mathematical form of the Lorenz curve and the Gini index associated with the new model....
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Principais autores: | , , |
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Formato: | article |
Idioma: | English |
Publicado em: |
Physica A
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Assuntos: | |
Endereço do item: | https://repositorio.ufrn.br/handle/123456789/49698 https://doi.org/10.1016/j.stamet.2016.01.002 |
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Resumo: | A new Pareto-type distribution is introduced and studied. This new model is a
generalization of the well-known Pareto distribution. We derive some of its probabilistic
and inferential properties. We deduce the mathematical form of the Lorenz curve and the
Gini index associated with the new model. The maximum likelihood estimators are derived
and their performance are evaluated through a Monte Carlo simulation study. Finally, we
illustrate the flexibility of the new distribution by means of three applications to real data
sets. |
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