Before revision:  As an application, we consider theinverse occupation time (also known as the time of cumulative Parisian ruin in \mbox{%DIFAUXCMD guerinrenaud20150pt%DIFAUXCMD ), where ruin is deemed to occur at the earliest time the risk process cumulatively stays below a critical level over a pre-determined time-threshold.
After revision:  As an application, we consider the (also known as the time of cumulative Parisian ruin in \mbox{%DIFAUXCMD guerinrenaud20150pt%DIFAUXCMD ), where ruin is deemed to occur at the earliest time the risk process cumulatively stays below a critical level over a pre-determined time-threshold.