Poisson-gamma conjugacy
= Poisson-gamma conjugacy
{c}
For a Poisson observation of mean $\theta$ and a gamma prior with shape $\alpha$ and rate $\lambda$, the posterior is gamma with shape $\alpha+X$ and rate $\lambda+1$.
= Poisson-gamma conjugacy
{c}
For a Poisson observation of mean $\theta$ and a gamma prior with shape $\alpha$ and rate $\lambda$, the posterior is gamma with shape $\alpha+X$ and rate $\lambda+1$.