Zero-truncated Poisson distribution (source code)

= Zero-truncated Poisson distribution
{title2=$\operatorname{Poisson}(\theta)\mid\{Y>0\}$}

A <Poisson distribution> conditioned on a positive count has <probability mass function> $\mathbb P(Y=y)=\theta^y/[y!(e^\theta-1)]$ for $y\ge1$ and $\theta>0$.