  In Bayesian inference, an unknown measurement uncertainty is often quantified
in terms of a Gamma distributed precision parameter, which is impractical when
prior information on the standard deviation of the measurement uncertainty
shall be utilised during inference. This paper thus introduces a method for
transforming between a gamma distributed precision parameter and the
distribution of the associated standard deviation. The proposed method is based
on numerical optimisation and shows adequate results for a wide range of
scenarios.
