论文标题
在广义反向衰老强度功能上
On Generalized Reversed Aging Intensity Functions
论文作者
论文摘要
反向衰老强度函数定义为瞬时危险率与反向危险率的基线值的比率。它定量地分析衰老特性，反向衰老强度越高，衰老趋势越弱。在本文中，引入和研究了一个广义反向的衰老强度功能。这些功能取决于真实参数。如果参数为正面，它们将独特地表征单变量正面的分布函数绝对连续的随机变量，在相反的情况下，它们表征了分布家族。此外，定义和研究了广义反向的衰老强度顺序。最后，给出了几个数值示例。
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.
