Laplace transform of a nonnegative random variable (source code)

= Laplace transform of a nonnegative random variable
{title2=$\psi_X(s)$}

= Laplace transforms of nonnegative random variables
{c}
{synonym}

For a nonnegative <random variable> $X$, its Laplace transform is
$$
\psi_X(s)=\mathbb E[e^{-sX}],
\qquad s\geq0.
$$