几何与调和老化强度函数及可靠性视角
Geometric and Harmonic Aging Intensity function and a Reliability Perspective
AI总结：
本文提出基于几何与调和平均的广义老化强度函数，刻画非参数分布类并研究其概率序，通过案例和模拟数据验证其在可靠性分析中的应用。
摘要：
本文基于失效率的几何平均、调和平均以及老化强度函数，引入了一些新的老化概念。我们定义了老化函数的广义版本，称为特定区间平均几何风险率和特定区间平均调和风险率。我们重点研究了一些刻画结果以及由此产生的非参数分布类之间的相互关系。一些众所周知的概率分布展示了如此定义的老化类的单调性质。基于这些函数的概率序被进一步研究。该工作通过案例研究和具有可靠性/生存分析应用的模拟数据加以说明。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
