# On the relationship between a Gamma distributed precision parameter and the associated standard deviation in the context of Bayesian parameter inference

arXiv: https://arxiv.org/abs/2101.06289 · HTML: https://mlsanity.com/paper/2101.06289/

## Key facts

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- First posted on arXiv 15 Jan 2021.

## Abstract (arXiv)

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.