A CLASS OF MULTIVARIATE FAILURE TIME DISTRIBUTIONS
A CLASS OF MULTIVARIATE FAILURE TIME DISTRIBUTIONS
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DOI：
10.1093/biomet/73.3.671
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发表时间：
1986-12-01
期刊：
影响因子：
2.7
通讯作者：
HOUGAARD, P
中科院分区：
文献类型：
--
作者：
HOUGAARD, P
提出了一类连续多元寿命分布。群体中个体之间的依赖性由群体特定量建模，该量可以解释为群体中个体共有的未观察到的协变量，并假设遵循正稳定分布。可以在模型中包含协变量，并讨论在考虑特定协变量后依赖性是否仍然存在。如果条件风险是成比例的，那么边际分布中的风险也是成比例的，但具有不同的比例常数。此外，一组中最小风险的风险与边际风险成正比。如果给定组数量的条件分布是威布尔，则边际分布也是威布尔。该类可用于检验比例风险模型中同窝配偶独立性的假设。
A class of continuous multivariate lifetime distributions is proposed. The dependence between individuals in a group is modelled by a group specific quantity, which can be interpreted as an unobserved covariate common to the individuals in the group and assumed to follow a positive stable distribution. It is possible to include covariates in the model and discuss whether the dependence is still present after specific covariates are taken into account. If the conditional hazards are proportional, then the hazards in the marginal distributions are also proportional, but with different constants of proportionality. Also the hazard for the minimum in a group is proportional to the marginal hazards. If the conditional distributions given the group quantity are Weibull then the marginal distributions are also Weibull. This class can be used to test the hypothesis of independence of litter mates in the proportional hazards model.