Geometric and harmonic aging intensity functions and their reliability perspective

In this paper, we introduce some new notions of aging based on geometric and harmonic means of failure rate and aging intensity function. We define a generalized version of aging functions called specific interval-average geometric failure rate, specific interval-average harmonic failure rate respectively. 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.