Survival probability
= Survival probability
{title2=$Q(x,t)$}
The survival probability is $Q(x,t)=\mathbb P_x(T_A>t)$. When absorption eventually occurs,
$$
\mathbb E_xT_A=\int_0^\infty Q(x,t)\,dt.
$$
= Survival probability
{title2=$Q(x,t)$}
The survival probability is $Q(x,t)=\mathbb P_x(T_A>t)$. When absorption eventually occurs,
$$
\mathbb E_xT_A=\int_0^\infty Q(x,t)\,dt.
$$