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title: "Gamma equations"
canonical: "https://modelassist.epixanalytics.com/space/EA/26575671/Gamma%20equations"
format: markdown
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|  |  |
| --- | --- |
| ·       Format: | Gamma(Location, Scale, Shape) or Gamma(L,<span style="color: #222222">β</span>*,* <span style="color: #222222">α</span>) |
| ·       Probability density function: | ![image](media://898f6601-b194-45be-9b9d-b8c95c489da3)<br>> Macro (mathblock)<br>where<br>![image](media://47d5fe0e-9c74-407b-b0b4-fa861735025b)<br>> Macro (mathinline)

is a Gamma Function<span style="color: #003366">[ ](https://epixanalytics.atlassian.net/#)</span> |
| ·       Cumulative distribution function: | *No closed form* |
| ·       Parameter restrictions: | *a* > 0, <span style="color: #222222">β</span> > 0 |
| ·       Domain: | *x* ≥ 0 |
| ·       Mean: | <span style="color: #222222">*αβ*</span> |
| ·       Mode: | <span style="color: #222222">β</span>(<span style="color: #222222">α</span> - 1)                        if <span style="color: #222222">α</span> ≥ 1<br>0                                  if <span style="color: #222222">α</span> < 1 |
| ·       Variance: | <span style="color: #222222">*αβ*</span><sup>2</sup> |

 

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