A new compounding family of distributions: the generalized gamma power series distributions
We propose a new four-parameter family of distributions by compounding the generalized gamma and power series distributions. The compounding procedure is based on the work by Marshall and Olkin (1997) and defines 76 sub-models. Further, it includes as special models the Weibull power series and e...
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| Principais autores: | , , |
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| Formato: | article |
| Idioma: | English |
| Publicado em: |
Journal of Computational and Applied Mathematics
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| Assuntos: | |
| Endereço do item: | https://repositorio.ufrn.br/handle/123456789/49677 |
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| Resumo: | We propose a new four-parameter family of distributions by compounding the generalized
gamma and power series distributions. The compounding procedure is based on the
work by Marshall and Olkin (1997) and defines 76 sub-models. Further, it includes as
special models the Weibull power series and exponential power series distributions. Some
mathematical properties of the new family are studied including moments and generating
function. Three special models are investigated in detail. Maximum likelihood estimation
of the unknown parameters for complete sample is discussed. Two applications of the new
models to real data are performed for illustrative purposes. |
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