Uniform convergence on compacts in probability
= Uniform convergence on compacts in probability
{title2=u.c.p.}
{wiki=Convergence_of_random_variables#Uniform_convergence_in_probability}
Processes $X_n$ converge uniformly on compacts in probability to $X$ when, for every $T<\infty$ and $\varepsilon>0$,
$$
\mathbb P\!\left(\sup_{t\leq T}|X_n(t)-X(t)|>\varepsilon\right)\to0.
$$
= UCP convergence
{c}
{synonym}