Quantile-based Reversed Aging Intensity Function

This paper proposes a novel measure, the quantile-based reversed aging intensity (QRAI) function, which serves as a quantile-based analogue of the classical reversed aging intensity function traditionally defined within the distribution function framework. The QRAI function offers valuable characterizations for specific parametric lifetime models and provides new insights into aging properties when compared with existing aging classes. The paper also explores stochastic comparisons of random variables using the QRAI measure and establishes its relationship with well-known stochastic orderings. We have obtained the QRAI function for the series and parallel systems, and studied how component and system level QRAI functions are connected. Two non-parametric estimators of the QRAI function are proposed, and their performance is assessed through simulation studies under selected parametric models. Additionally, a real data application is presented to demonstrate the practical usefulness of the proposed estimators.