Complex sentence: Thus a Bayesian analysis might be undertaken leading to a posterior distribution for relevant parameters but the use of a specific utility or loss function may be unclear: ideas of invariance can then be applied to the task of summarising the posterior distribution.
Split into simpler sentences: Thus a Bayesian analysis might be undertaken, leading to a posterior distribution for relevant parameters, but the use of a specific utility or loss function may be unclear. Ideas of invariance can then be applied to the task of summarising the posterior distribution.