The Unit Gompertz Regression Model with Applications to COVID-19 Data in Brazil

Authors

  • Lucas David Ribeiro-Reis Department of Economics, Federal University of Alagoas, Santana do Ipanema-AL, Brazil Author

DOI:

https://doi.org/10.47363/JMCA/2024(3)183

Keywords:

Unit Gompertz Distribution, Regression Model, Maximum Likelihood, Monte Carlo Simulation, COVID-19, Brazil

Abstract

In this paper, based on the unit Gompertz distribution, a new regression model for the unit interval has been introduced. In this model, the parameterization is done based on the median of the distribution. The estimation of the model parameters is done by maximum likelihood method. Monte Carlo simulations, to show the performance of maximum likelihood estimators are performed. Finally, using Covid-19 data in Brazilian capital cities, the unit Gompertz regression model performance better than the popular beta and Kumaraswamy regression models.

Author Biography

  • Lucas David Ribeiro-Reis, Department of Economics, Federal University of Alagoas, Santana do Ipanema-AL, Brazil

    Lucas David Ribeiro-Reis, Department of Economics, Federal University of Alagoas, Santana do Ipanema-AL, Brazil. 

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Published

2024-07-30

Issue

Vol. 3 No. 4 (2024): Volume 3 Issue 4

Section

Articles