Generalized aging intensity functions

Highlights: • Definition and properties of the α-generalized aging intensity functions. • Deep analysis of variability of lifetime distributions. • Characterization of continuous random variables. • Stochastic orders based on the α-generalized aging intensities. • Applicability of the α-generalized aging intensity in the reliability practice. A family of generalized aging intensity functions is introduced and studied. The functions characterize lifetime distributions of univariate positive absolutely continuous random variables. Further on, the generalized aging intensity orders are defined and analyzed.