Bimodal skew-symmetric normal distribution

  title={Bimodal skew-symmetric normal distribution},
  author={M.Y. Hassan and Mohamed Y. El-Bassiouni},
  journal={Communications in Statistics - Theory and Methods},
  pages={1527 - 1541}
  • M.Y. Hassan, M. Y. El-Bassiouni
  • Published 2016
  • Mathematics
  • Communications in Statistics - Theory and Methods
ABSTRACT We introduce a new parsimonious bimodal distribution, referred to as the bimodal skew-symmetric Normal (BSSN) distribution, which is potentially effective in capturing bimodality, excess kurtosis, and skewness. Explicit expressions for the moment-generating function, mean, variance, skewness, and excess kurtosis were derived. The shape properties of the proposed distribution were investigated in regard to skewness, kurtosis, and bimodality. Maximum likelihood estimation was considered… Expand
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