General proportional mean residual life model. (English) Zbl 1413.60007

Summary: By considering a covariate random variable in the ordinary proportional mean residual life (PMRL) model, we introduce and study a general model, taking more situations into account with respect to the ordinary PMRL model. We investigate how stochastic structures of the proposed model are affected by the stochastic properties of the baseline and the mixing variables in the model. Several characterizations and preservation properties of the new model under different stochastic orders and aging classes are provided. In addition, to illustrate different properties of the model, some examples are presented.


60E05 Probability distributions: general theory
60E15 Inequalities; stochastic orderings
62N05 Reliability and life testing
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