\begin{equation}\label{scenario2a}\alpha^{(\ell)}_{0j}(t,\theta^{(\ell)}_{0j})=\theta^{(\ell)}_{0j1}\cdot\exp{(\theta^{(\ell)}_{0j2}\cdot t)},\ j=1,2,\ \ell=1,2,\end{equation}
where $\theta^{(\ell)}_{0j1}$ denotes the scale and $\theta^{(\ell)}_{0j2}$ the shape parameter, respectively, and the transition intensity for the third state is given by
\begin{equation}\label{scenario2b}
\alpha^{(\ell)}_{03}(t,\theta^{(\ell)}_{03})=\frac{\theta^{(\ell)}_{032}}{\theta^{(\ell)}_{031}}\cdot\left(\frac{t}{\theta^{(\ell)}_{031}}\right)^{\theta^{(\ell)}_{032}-1},\ \ell=1,2,\end{equation}
