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基于估计函数的面板计数边际分析AI 解读

We develop nonparametric estimation procedures for the marginal mean function of a counting process based on periodic observations, using two types of self-consistent estimating equations. The first is derived from the likelihood studied in Wellner & Zhang (2000), assuming a Poisson counting process, and gives a nondecreasing estimator, which is the same as the nonparametric maximum likelihood estimator of Wellner & Zhang and thus is consistent without the Poisson…

模型误设对 Cox 比例风险模型中无随机治疗效应检验的影响AI 解读

Summary We examine the asymptotic and small sample properties of model-based and robust tests of the null hypothesis of no randomized treatment effect based on the partial likelihood arising from an arbitrarily misspecified Cox proportional hazards model. When the distribution of the censoring variable is either conditionally independent of the treatment group given covariates or conditionally independent of covariates given the treatment group, the numerators of the partial…

截断生存数据的非参数分析及其艾滋病应用AI 解读

One source of data for the induction distribution of aids arises from persons infected by the aids virus from contaminated blood transfusions. Analyses of these data are complicated because the number of individuals infected by transfusion is unknown; information is available only for those who are infected and develop aids within a certain chronologic time interval. The statistical problem is one of making inferences about a stochastic process of infection and disease for…

比例风险回归中协变量误设造成的效率损失AI 解读

This note considers partial likelihood score tests for association between a covariate process and survival time based on a proportional hazards regression model. We derive the asymptotic efficiency of the test based on a misspecified form of the covariate process relative to the test based on the correct form. The results can be used to assess the consequences of various types of misspecification.

截断生存数据的非参数分析及其 AIDS 应用AI 解读

One source of data for the induction distribution of aids arises from persons infected by the aids virus from contaminated blood transfusions. Analyses of these data are complicated because the number of individuals infected by transfusion is unknown; information is available only for those who are infected and develop aids within a certain chronologic time interval. The statistical problem is one of making inferences about a stochastic process of infection and disease for…

比例风险回归中协变量形式误设造成的效率损失AI 解读

This note considers partial likelihood score tests for association between a covariate process and survival time based on a proportional hazards regression model. We derive the asymptotic efficiency of the test based on a misspecified form of the covariate process relative to the test based on the correct form. The results can be used to assess the consequences of various types of misspecification.

基于部分删失数据的卷积估计AI 解读

An estimator is proposed for the convolution of distribution functions, based on samples with some right-censored observations. The asymptotic variance of the estimator is calculated, and the method is illustrated with a set of cancer data.

比例风险回归模型中解释变量的图形评价AI 解读

A graphical technique for assessing explanatory variables in Cox's proportional hazards regression model is examined. The method arises from consideration of the cumulative hazard transformation and the partial likelihood score function, and consists of permuting the observed rank statistic to account for the effects of explanatory variables fitted to the model. An example is provided.

比例风险回归模型中解释变量的图形评估AI 解读

A graphical technique for assessing explanatory variables in Cox's proportional hazards regression model is examined. The method arises from consideration of the cumulative hazard transformation and the partial likelihood score function, and consists of permuting the observed rank statistic to account for the effects of explanatory variables fitted to the model. An example is provided.

利用部分删失数据估计分布卷积AI 解读

An estimator is proposed for the convolution of distribution functions, based on samples with some right-censored observations. The asymptotic variance of the estimator is calculated, and the method is illustrated with a set of cancer data.

Nonparametric likelihood methods are developed for the analysis of partially censored data arising from a multistate stochastic process. It is assumed that the underlying process follows a semi-Markov model in which state changes form an embedded Markov chain and sojourn times are independent with distributions depending only on adjoining states. The general likelihood function for a set of partially censored observations is determined and maximized nonparametrically. The…

部分删失数据的半马尔可夫模型AI 解读

Nonparametric likelihood methods are developed for the analysis of partially censored data arising from a multistate stochastic process. It is assumed that the underlying process follows a semi-Markov model in which state changes form an embedded Markov chain and sojourn times are independent with distributions depending only on adjoining states. The general likelihood function for a set of partially censored observations is determined and maximized nonparametrically. The…

删失生存分析模型：可变和模型的锥类AI 解读

A class of models is proposed for the analysis of censored survival data in situations where survival is affected by conditions which lead to censoring. The specific case where survival is exponential is examined in detail, and the methods are applied to a lung cancer clinical trial.

删失生存分析模型：可变和模型的锥类AI 解读

A class of models is proposed for the analysis of censored survival data in situations where survival is affected by conditions which lead to censoring. The specific case where survival is exponential is examined in detail, and the methods are applied to a lung cancer clinical trial.

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