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Proportional odds frailty model and stochastic comparisons. (English) Zbl 1309.62166

Summary: In this paper, we present some distributional properties of the survival and frailty distribution involved in the proportional odds (PO) frailty model. Stochastic orderings are studied for this proportional odds frailty model. It is showed that negative dependence arises in the PO frailty model as opposed to the proportional hazard frailty model.

MSC:

62N05 Reliability and life testing
60E15 Inequalities; stochastic orderings
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