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A New Class of Distributions Generated by the Extended Bimodal-Normal Distribution

Author

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  • Milton A. Cortés
  • David Elal-Olivero
  • Juan F. Olivares-Pacheco

Abstract

In this study, we present a new family of distributions through generalization of the extended bimodal-normal distribution. This family includes several special cases, like the normal, Birnbaum-Saunders, Student’s , and Laplace distribution, that are developed and defined using stochastic representation. The theoretical properties are derived, and easily implemented Monte Carlo simulation schemes are presented. An inferential study is performed for the Laplace distribution. We end with an illustration of two real data sets.

Suggested Citation

  • Milton A. Cortés & David Elal-Olivero & Juan F. Olivares-Pacheco, 2018. "A New Class of Distributions Generated by the Extended Bimodal-Normal Distribution," Journal of Probability and Statistics, Hindawi, vol. 2018, pages 1-10, November.
    • Handle: RePEc:hin:jnljps:9753439
    DOI: 10.1155/2018/9753439
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    Cited by:

    1. Guillermo Martínez-Flórez & David Elal-Olivero & Carlos Barrera-Causil, 2021. "Extended Generalized Sinh-Normal Distribution," Mathematics, MDPI, vol. 9(21), pages 1-24, November.
    2. Hugo Salinas & Hassan Bakouch & Najla Qarmalah & Guillermo Martínez-Flórez, 2023. "A Flexible Class of Two-Piece Normal Distribution with a Regression Illustration to Biaxial Fatigue Data," Mathematics, MDPI, vol. 11(5), pages 1-14, March.

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