Hi,

(Please forgive me if my question is vague or trivial)

Let a normal distribution $P(\mu, \sigma)$ and a poisson distribution $Q(\lambda)$. I want to find a distribution $Q'$ that is :

- a poisson with parameter $\lambda'$
- contains the elements of $P$, which altogether form $Q'$

Or in other words: $Q'$ is like a projection (or a reduction) of $P$ with respect to $Q$.

Do I have to use bayesian inference (posterior, prior, likelihood...) ?

Thanks a lot !