Mathematical properties, application and simulation for the exponentiated generalized standardized Gumbel distribution

Authors

  • Thiago Alexandro Nascimento de Andrade Universidade Federal de Pernambuco
  • Frank Gomes-Silva Universidade Federal Rural de Pernambuco
  • Luz Milena Fernandez Universidade Federal do Rio Grande do Norte

DOI:

https://doi.org/10.4025/actascitechnol.v41i1.39867

Keywords:

exponentiated generalized distribution, standardized Gumbel distribution.

Abstract

In this paper, we study the two-parameter exponentiated generalized standardized Gumbel distribution, which consists of a simple generalization of the Gumbel distribution. We investigate the power of fit of the proposed distribution to real data and study via Monte Carlo simulation the behavior of the MLEs for the model parameters. We provide a comprehensive mathematical treatment and prove that the formulas related to the new model are simple and manageable.

 

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Published

2019-05-02

How to Cite

Andrade, T. A. N. de, Gomes-Silva, F., & Fernandez, L. M. (2019). Mathematical properties, application and simulation for the exponentiated generalized standardized Gumbel distribution. Acta Scientiarum. Technology, 41(1), e39867. https://doi.org/10.4025/actascitechnol.v41i1.39867

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