\begin{equation}
\mathbb{P}(Z_{ik}^{s}\geq q\cap U_{ik}\leq q)=\mathbb{P}\left(R\leq\frac{q-u_{k}^{e}}{\tilde{\sigma}}\right)-\mathbb{P}\left(R_{1}\leq\frac{q-u_{k}^{e}}{\tilde{\sigma}}\cap R_{2}\leq q-\xi-u_{k}^{e}\right)\ ,\label{eq:probability-cdf-bvn}
\end{equation}
