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<p>Based on previous research featuring generalized distributions, we propose an extension to both generalized skew normal distributions introduced [<CitationRef CitationID="CR14">14</CitationRef>] and skew flexible normal distributions proposed by Gómez et al. [<CitationRef CitationID="CR9">9</CitationRef>]. The properties of this family of distributions are explored, and the parameters are estimated using the maximum likelihood method. Two simulation studies are conducted, along with two real data examples, to demonstrate the primary findings.</p>

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Generalized Skew Flexible Normal Distributions with Applications

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月19日

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  • Tingting Tong,
  • S. T. Boris Choy,
  • Cong Wang,
  • Xiangfei Chen,
  • David Trafimow

摘要

Based on previous research featuring generalized distributions, we propose an extension to both generalized skew normal distributions introduced [14] and skew flexible normal distributions proposed by Gómez et al. [9]. The properties of this family of distributions are explored, and the parameters are estimated using the maximum likelihood method. Two simulation studies are conducted, along with two real data examples, to demonstrate the primary findings.