Sub-Poisson random variable in the right tail (source code)

= Sub-Poisson random variable in the right tail
{c}

A centered <random variable> $X$ is sub-Poisson in the right tail with variance parameter $\sigma^2$ when
$$
\log\mathbb E e^{\lambda X}\leq\sigma^2(e^\lambda-\lambda-1)
$$
for every $\lambda\geq0$.