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.

翻译：在下文中，我们提出了新的比例风险过程，该过程通过对互补幂函数分布过程进行边际变换得到。同时，我们还引入了两个新的帕累托过程，它们源自比例风险族。我们讨论了这类过程的分布特征，探讨了推断方面的问题，并给出了一个将新过程应用于实际数据的示例。