An overview of the development of a new probability distribution: Odd Log-Logistic Skew t-Student / Uma visão geral do desenvolvimento de uma nova distribuição de probabilidade: Odd Log-Logística Skew t-Student

Authors

  • Adolfo Henrique dos Santos Fernandes
  • Altemir da Silva Braga
  • Djair Durand Ramalho Frade
  • Jhennifer dos Santos Nascimento
  • Joana Anny Mafalda de Oliveira
  • Dandara Jordany Oliveira de Medeiros

DOI:

https://doi.org/10.34117/bjdv7n3-667

Keywords:

Regression, Semi-Parametric Regression, Gamlss, Ollst, Skew-T Distribution, Bimodel Distribution.

Abstract

Cruz et al. (1999) proposed a new class of Odd Log-Logistic-G distributions in order to create a new distribution family that could extend any continuous distribution. Thus, it was thought to use the Skew -Student distribution as a base function and create the Odd Log-Logistic Skew -Student (OLLST) distribution. There were also some applications in regression models for data from Completely Randomized Designs (CRD), and some results of density simulation showed that the new distribution is bimodal and asymmetric.

References

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Published

2021-03-25

How to Cite

Fernandes, A. H. dos S., Braga, A. da S., Frade, D. D. R., Nascimento, J. dos S., Oliveira, J. A. M. de, & Medeiros, D. J. O. de. (2021). An overview of the development of a new probability distribution: Odd Log-Logistic Skew t-Student / Uma visão geral do desenvolvimento de uma nova distribuição de probabilidade: Odd Log-Logística Skew t-Student. Brazilian Journal of Development, 7(3), 30536–30555. https://doi.org/10.34117/bjdv7n3-667

Issue

Section

Original Papers