S1 Further extensions to skewed link functions, non-linear models and dynamic settingsAlthough the models discussed in Sections 2.1, 2.2 and 2.3 cover the most widely-implemented formulations in the literature, as highlighted in Sections S1.1-S1.4 several additional extensions of these representations to skewed, non-linear, dynamic and other contexts can be reframed within the likelihood in (1).