基于分散型和扩散型随机序对几种寿命分布类的刻画

摘要

本文基于分散型和(或)扩散型随机序,利用随机变量的剩余寿命给出了寿命分布类ILR,IFR,DMRL和IFR(2)及其对偶类的刻画.作为主要结果的一个应用,用k-系统的剩余寿命对IFR和DMRLS及其对偶类进行了刻画.这些结果拓宽和加强了文献中已有的结果.%Some aging notions (ILR, IFR, DMRL, IFR(2) and their duals) are characterized in terms of the dispersion-type or dilation-type variability orders, using the residual lifetime of the underlying random variable. As one application of the main results, the aging notions IFR and DMRLS and their duals are also characterized by using the residual lifetimes of k-out-of-n systems. These results extend and strengthen some known characterizations in the literature.