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A new skew-bimodal distribution with applications

Author

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  • Altemir da Silva Braga
  • Gauss M. Cordeiro
  • Edwin M. M. Ortega

Abstract

The modeling and analysis of experiments is an important aspect of statistical work in a wide variety of scientific and technological fields. We introduce and study the odd log-logistic skew-normal model, which can be interpreted as a generalization of the skew-normal distribution. The new distribution can be used effectively in the analysis of experiments data since it accommodates unimodal, bimodal, symmetric, bimodal and right-skewed, and bimodal and left-skewed density function depending on the parameter values. We illustrate the importance of the new model by means of three real data sets in analysis of experiments.

Suggested Citation

  • Altemir da Silva Braga & Gauss M. Cordeiro & Edwin M. M. Ortega, 2018. "A new skew-bimodal distribution with applications," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(12), pages 2950-2968, June.
    • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:12:p:2950-2968
    DOI: 10.1080/03610926.2017.1343851
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    Cited by:

    1. Daan de Waal & Tristan Harris & Alta de Waal & Jocelyn Mazarura, 2022. "Modelling Bimodal Data Using a Multivariate Triangular-Linked Distribution," Mathematics, MDPI, vol. 10(14), pages 1-20, July.
    2. Juan Duarte & Guillermo Martínez-Flórez & Diego Ignacio Gallardo & Osvaldo Venegas & Héctor W. Gómez, 2023. "A Bimodal Extension of the Epsilon-Skew-Normal Model," Mathematics, MDPI, vol. 11(3), pages 1-18, January.
    3. Guillermo Martínez-Flórez & Diego I. Gallardo & Osvaldo Venegas & Heleno Bolfarine & Héctor W. Gómez, 2021. "Flexible Power-Normal Models with Applications," Mathematics, MDPI, vol. 9(24), pages 1-15, December.

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