Modified slashed generalized exponential distribution

Abstract

In 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.

Keywords:

• Generalized exponential distribution
• kurtosis
• maximum likelihood estimator
• slashed generalized exponential distribution

Acknowledgments

The authors acknowledge helpful comments and suggestions by the referee which substantially improved the presentation.

Additional information

Funding

The research of J. M. Astorga was supported by DIUDA 22318 (Chile). The research of Y. A. Iriarte and H. W. Gómez was supported by SEMILLERO UA-2019 (Chile). The research of H. Bolfarine was supported by CNPq and Fapesp (Brasil).