However , the processes are only analogous , not identical : conditioning is not linear , as the space of distributions is not closed under linear combination , only convex combination .
The posterior is only of the same form as the prior , not a scalar multiple .
However , the processes are only analogous , not identical : conditioning is not linear , as the space of distributions is not closed under linear combination , only convex combination , and the posterior is only of the same form as the prior , not a scalar multiple .