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.
Original language | English |
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Pages (from-to) | 3698-3711 |
Number of pages | 14 |
Journal | Communications in Statistics - Theory and Methods |
Volume | 49 |
Issue number | 15 |
DOIs | |
State | Published - 2 Aug 2020 |
Keywords
- 60K10
- Primary 90B25
- Secondary 60E15
- Stochastic order
- additive frailty
- mixture
- proportional hazard rates
- reverse hazard rate