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On comparisons of population and subpopulations in frailty models |
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| Authors: | Gaofeng Da Weiyong Ding Xiaohu Li |
| Affiliation: | 1. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, China;2. dagfvc@gmail.com;4. School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, China;5. Department of Mathematical Sciences, Stevens Institute of Technology, Hoboken, New Jersey, USA |
| Abstract: | AbstractThis 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. |
| Keywords: | Stochastic order reverse hazard rate proportional hazard rates additive frailty mixture |