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|<math> \frac{}{}f(x;\alpha,\beta,\sigma) </math> ||=|| <math>\beta\frac{\alpha}{2}\,e^{\alpha x+\frac{\alpha^2\sigma^2}{2}}[1-Erf(\frac{x+\alpha\sigma^2}{\sqrt{2}\sigma})] </math>
 
|<math> \frac{}{}f(x;\alpha,\beta,\sigma) </math> ||=|| <math>\beta\frac{\alpha}{2}\,e^{\alpha x+\frac{\alpha^2\sigma^2}{2}}[1-Erf(\frac{x+\alpha\sigma^2}{\sqrt{2}\sigma})] </math>
 
|-
 
|-
|&nbsp;||&nbsp;||<math> + \frac{1-\beta}{\sqrt{2\pi}\sigma}e^{-\frac{x^2}{2\sigma^2}}
+
|&nbsp;||&nbsp;||<math> + \frac{1-\beta}{\sqrt{2\pi}\sigma}\,e^{-\frac{x^2}{2\sigma^2}}
 
</math>
 
</math>
 
|}
 
|}

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