After reading this helpful guide on Bayesian inference by Eadie et al. I realized I am one of those astronomers who writes likelihood functions inconsistently!
We should audit the Intro to RML document equations to make sure we're using consistent notation, especially for the likelihood function. Of their selected examples, I think I like $\mathcal{L}(\boldsymbol{\theta} ; \boldsymbol{y})$ the most, since it will lead us naturally to the "negative log likelihood loss" terminology that we use in a ML context.
After reading this helpful guide on Bayesian inference by Eadie et al. I realized I am one of those astronomers who writes likelihood functions inconsistently!
We should audit the Intro to RML document equations to make sure we're using consistent notation, especially for the likelihood function. Of their selected examples, I think I like
$\mathcal{L}(\boldsymbol{\theta} ; \boldsymbol{y})$the most, since it will lead us naturally to the "negative log likelihood loss" terminology that we use in a ML context.