Survival Function

\(\begin{equation} S(t) = \pi\exp(-\lambda_1 t^{\gamma_1}) + (1-\pi)\exp(-\lambda_2 t^{\gamma_2}) \end{equation}\)

Hazard Function

\(\begin{equation} h(t) = \frac{\pi\lambda_1 \gamma_1 t^{\gamma_1-1}\exp(-\lambda_1 t^{\gamma_1} + (1-\pi)\lambda_2 \gamma_2 t^{\gamma_2-1}\exp(-\lambda_2 t^{\gamma_2} }{\pi\exp(-\lambda_1 t^{\gamma_1}) + (1-\pi)\exp(-\lambda_2 t^{\gamma_2})} \end{equation}\)