There are many measures for qualitative and quantitative analysis of ageing phenomena of a system with a well defined statistical distribution, namely, hazard rate, ageing intensity (AI) function etc. The extensive usage of Weibull distributions in various fields has prompted us to explore the ageing property of these models. The present work derives the AI function of recent continuous Weibull distributions. In the process, we obtain generalizations of a few recent Weibull models. As noted, the characteristics of a distribution described by hazard rate and ageing intensity function differ altogether in many cases. Some of the results presented in this work have been analyzed through a simulation study using R software.
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Giri et al. (2021) studied this question.