On comparisons of population and subpopulations in frailty models

Gaofeng Da, Weiyong Ding and Xiaohu Li

Communications in Statistics - Theory and Methods, 2020, vol. 49, issue 15, 3698-3711

Abstract: This paper studies stochastic comparisons between a population and subpopulations in both multiplicative and additive frailty models. The comparisons between a population and its baseline in stochastic ordering are conducted as a special case. We build equivalent characterizations of some common stochastic orders between a population and a subpopulation, in terms of the frailty of the subpopulation and the first two moments of frailty variable. Some examples and applications are discussed as well.

Date: 2020
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DOI: 10.1080/03610926.2019.1708401

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