Some results on dynamic discrimination measures of order ($\alpha$, $\beta$)

Some results on dynamic discrimination measures of order ($\alpha$, $\beta$)

In this paper we propose two measures of discrimination of order ($\alpha$, $\beta$) for residual and past lifetimes. Lower and upper bounds of the proposed measures are derived. Some bounds are obtained by considering weighted distributions and subsequently, examples are presented. Finally, characterization results of the proportional hazards and proportional reversed hazards models are given.

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