Stationary Proportional Hazard Processes via Complementary Power Function Distribution Processes

In the following, we introduce new proportional hazard (PH) processes, which are derived by a marginal transformation applied to complementary power function distribution (CPFD) processes. Also, we introduce two new Pareto processes, which are derived from the proportional hazard family. We discuss distributional features of such processes, explore inferential aspects and include an example of applications of the new processes to real-life data.