In this paper, we introduce some new notions of aging based on geometric, harmonic means of failure rate and aging intensity function. We define a generalized version of aging functions called specific interval-average geometric hazard rate, specific interval-average harmonic hazard rate. We focus on some characterization results and their inter-relationships among the resulting non-parametric classes of distributions. Monotonic nature of so defined aging classes are exhibited by some well known probability distributions. Probabilistic orders based on these functions are taken up for further study. The work is illustrated through case studies and a simulated data having applications in reliability/survival analysis.

翻译：本文基于失效率的几何均值、调和均值及老化强度函数，提出了若干新的老化概念。我们定义了一类广义老化函数，称为特定区间平均几何风险率与特定区间平均调和风险率。重点研究了由此产生的非参数分布类的若干刻画结果及其相互关系。通过若干经典概率分布展示了所定义老化类的单调性质。基于这些函数的概率序被纳入进一步研究范畴。本文通过案例研究及可靠性/生存分析领域的仿真数据对研究成果进行了阐释。