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关于剩余寿命的一则札记AI 解读

Two further characterizations are given of a family of survival distributions introduced by Hall & Wellner (1984). The second result involves a new family of semiparametric models requiring proportional mean residual life.

由共享脆弱性诱导的二元生存模型AI 解读

When two observed survival times depend via a proportional-hazards model on the same unobserved variable, called a frailty, this common dependence induces an association between the observed times. This article considers the class of bivariate survival distributions that can arise in this way, extends it to allow negative association, and shows that the observable bivariate distribution determines the unobserved frailty distribution up to a scale parameter. A cross-ratio…

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二元生存数据关联模型中的半参数推断AI 解读

Clayton's (1978) model for association in bivariate survival data is both of intrinsic importance and an interesting example of a semiparametric estimation problem, that is a problem where inference about a parameter is required in the presence of nuisance functions. We derive the asymptotic variance of Clayton's estimator, obtaining a simple explicit formula for uncensored data and indicating the modification required when the survival times are subject to arbitrary random…

双变量生存数据的关联模型AI 解读

Summary A reparameterization of a model introduced by D. G. Clayton for association in bivariate life-tables is discussed. Inference for the parameter governing the association is considered when the marginal distributions are specified up to Lehmann alternatives. The information matrix is derived explicitly and it is shown that the parameterization is moderately successful in introducing orthogonality between the association parameter and the two scale parameters. The…

论对数线性风险率AI 解读

Summary A simply computed estimator of the information matrix for the coefficients of log-linear hazard functions with right censored data is shown to be exactly unbiased.

删失生存数据中的渐近信息量AI 解读

Various procedures are considered for fitting a regression model to censored survival data in continuous time with time–dependent covariate functions. These include maximum likelihood with the underlying hazard function known completelyand known up to a multiplicative constant, and the maximization of Cox's partial likelihood. Explicit formulae for the asymptotic variances of the estimators are derived informally and compared. It is shown how sample second derivatives may be…

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