Generalized modified slash distribution with applications
In this paper a generalization of the modified slash distribution is introduced. This model is based on the quotient of two independent random variables, whose distributions are a normal and a one-parameter gamma, respectively. The resulting distribution is a new model whose kurtosis is greater than...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/167193 |
| Acceso en línea: | https://hdl.handle.net/11441/167193 https://doi.org/10.1080/03610926.2019.1568484 |
| Access Level: | acceso abierto |
| Palabra clave: | Generalized modified slash distribution Kurtosis Maximum likelihood Moments methods |
| Sumario: | In this paper a generalization of the modified slash distribution is introduced. This model is based on the quotient of two independent random variables, whose distributions are a normal and a one-parameter gamma, respectively. The resulting distribution is a new model whose kurtosis is greater than other slash distributions. The probability density function, its properties, moments, and kurtosis coefficient are obtained. Inference based on moment and maximum likelihood methods is carried out. The multivariate version is also introduced. Applications to two datasets are considered. They illustrate the applicability of our results, along with the fact that the new model can provide a better fit to symmetric data with heavy tails than other slash extensions previously introduced in literature. |
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