The reversed aging intensity function is defined as the ratio of the instantaneous reversed hazard rate to the baseline value of the reversed hazard rate. It analyzes the aging property quantitatively, the higher the reversed aging intensity, the weaker the tendency of aging. In this paper, a family of generalized reversed aging intensity functions is introduced and studied. Those functions depend on a real parameter. If the parameter is positive they characterize uniquely the distribution functions of univariate positive absolutely continuous random variables, in the opposite case they characterize families of distributions. Furthermore, the generalized reversed aging intensity orders are defined and studied. Finally, several numerical examples are given.

反向老化强度函数定义为瞬时反向危害率与反向危害率基线值之比。它定量分析了老化性能，反向老化强度越高，老化趋势越弱。本文介绍和研究了一组广义的逆向老化强度函数。这些功能取决于实际参数。如果参数为正，则它们可以唯一地描述单变量正绝对连续随机变量的分布函数，相反，它们可以描述分布族。此外，定义和研究了广义逆时效强度等级。最后，给出了几个数值示例。