Modified slashed generalized exponential distribution |
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| Authors: | Juan M Astorga Yuri A Iriarte Heleno Bolfarine |
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| Institution: | 1. Departamento de Tecnologías de la Energía, Facultad Tecnológica, Universidad de Atacama, Copiapó, Chile;2. Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta, Chile;3. Departamento de Estatística, IME, Universidad de Sao Paulo, Sao Paulo, Brasil |
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| Abstract: | AbstractIn this article, we introduce a new distribution for modeling positive data sets with high kurtosis, the modified slashed generalized exponential distribution. The new model can be seen as a modified version of the slashed generalized exponential distribution. It arises as a quotient of two independent random variables, one being a generalized exponential distribution in the numerator and a power of the exponential distribution in the denominator. We studied various structural properties (such as the stochastic representation, density function, hazard rate function and moments) and discuss moment and maximum likelihood estimating approaches. Two real data sets are considered in which the utility of the new model in the analysis with high kurtosis is illustrated. |
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| Keywords: | Generalized exponential distribution kurtosis maximum likelihood estimator slashed generalized exponential distribution |
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