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Some New Results on the Beta Skew-Normal Distribution

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Topics in Theoretical and Applied Statistics

Part of the book series: Studies in Theoretical and Applied Statistics ((STASSPSS))

Abstract

In this paper we study the Beta skew-normal distribution introduced by Mameli and Musio (2013). Some new properties of this distribution are derived including formulae for moments in particular cases and bi-modality properties. Furthermore, we provide expansions for its distribution and density functions. Bounds for the moments and the variance of the Beta skew-normal are derived. Some of the results presented in this work can be extended to the entire family of the Beta-generated distribution introduced by Jones (Test 13(1):1–43, 2004).

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Acknowledgements

The authors acknowledge helpful suggestions from the editors and an anonymous referee.

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Authors and Affiliations

  1. University of Cagliari, via Ospedale 72, Cagliari, Italy

    Valentina Mameli & Monica Musio

Authors
  1. Valentina Mameli
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  2. Monica Musio
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Corresponding author

Correspondence to Valentina Mameli .

Editor information

Editors and Affiliations

  1. MEMOTEF, Sapienza University of Rome, Rome, Italy

    Giorgio Alleva

  2. Dept. of Statistcs & Informatics, University of Florence, Florence, Italy

    Andrea Giommi

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Mameli, V., Musio, M. (2016). Some New Results on the Beta Skew-Normal Distribution. In: Alleva, G., Giommi, A. (eds) Topics in Theoretical and Applied Statistics. Studies in Theoretical and Applied Statistics(). Springer, Cham. https://doi.org/10.1007/978-3-319-27274-0_3

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