Likelihood-based inference for the power regression model

• Guillermo Martínez-Flórez ^[3] ; Heleno Bolfarine ^[1] ; Héctor W. Gómez ^[2]
  1. [1] Universidade de São Paulo

     Universidade de São Paulo

     Brasil

     
  2. [2] Universidad de Antofagasta

     Universidad de Antofagasta

     Antofagasta, Chile

     
  3. [3] Universidad de Córdoba

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• Localización: Sort: Statistics and Operations Research Transactions, ISSN 1696-2281, Vol. 39, Nº. 2, 2015, págs. 187-208
• Idioma: inglés
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• Resumen

  • In this paper we investigate an extension of the power-normal model, called the alpha-power model and specialize it to linear and nonlinear regression models, with and without correlated errors. Maximum likelihood estimation is considered with explicit derivation of the observed and expected Fisher information matrices. Applications are considered for the Australian athletes data set and also to a data set studied in Xie et al. (2009). The main conclusion is that the proposed model can be a viable alternative in situations were the normal distribution is not the most adequate model.