In its simplest reading, the term ‘skew-normal’ refers to a family of continuous probability distributions on the real line having density function of form $$\displaystyle \phi (z; \alpha ) = 2\:\phi (z)\;\Phi (\alpha z), \qquad (-\infty

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Skew-Normal Distribution

  • Adelchi Azzalini

摘要

In its simplest reading, the term ‘skew-normal’ refers to a family of continuous probability distributions on the real line having density function of form $$\displaystyle \phi (z; \alpha ) = 2\:\phi (z)\;\Phi (\alpha z), \qquad (-\infty