Posterior predictive distribution
= Posterior predictive distribution
{title2=$p(y^*\mid y)$}
= Posterior predictive
{synonym}
The distribution of a new or missing quantity integrates its model over the <Bayesian posterior>: $p(y^*\mid y)=\int p(y^*\mid\phi,y)p(\phi\mid y)d\phi$. Both parameter and residual uncertainty should enter predictive draws used for <multiple imputation>.