Inverse Gamma Distribution Mean Calculator

For an Inverse Gamma distribution with shape parameter $α$ and scale parameter $β$ , the mean is given by: $Mean = \frac{β}{α - 1}, for α > 1.$

* Enter $α$ (must be $> 0$ ) and $β$ (must be $> 0$ ). Note: The mean is only defined for $α > 1$ .

Step 1: Enter Parameters

Shape Parameter,

α

e.g., 2 (mean is defined only if $α > 1$ )

Scale Parameter,

β

e.g., 3

The mean of an Inverse Gamma distribution is defined as:

$Mean = \frac{β}{α - 1}, for α > 1.$

If $α \leq 1$ , the mean is undefined (or infinite). This calculator only returns a valid result when $α > 1$ .

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