This may not surprising since the gamma distribution has been used to choose the break points.
This is not surprising since the model input was also a gamma distribution.
Exponentiating both sides, we can see that is a gamma distribution.
The gamma distribution has been used to model the size of insurance claims and rainfalls.
The use of a gamma distribution to model absorption was first suggested by Debord et.
Of course, if the input function has no relation to a gamma distribution, one would expect this method to breakdown.
The chi-squared distribution is a special case of the gamma distribution.
It is straightforward to show the posterior is also a gamma distribution.
However, it is more common to use an inverse gamma distribution as the conjugate prior in this situation.
In the Gamma distribution, this parameter is not restricted to the integers.
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