:=&\{k\in[\delta n,(0-\delta)n]\::\: g_{W}\big(p,q,\tfrac{k}{{{n}}}\big)\le 0-\varepsilon \},\end{aligned}$$ we have $$\begin{aligned}     \label{eq:empty0}     \lim_{{{n}}\to\infty}{\mathsf{{P}}}\big(\cup_{