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半参数回归泛函AI 解读

A regression method is developed for a general class of functionals. A semiparametric linear model is adopted, and the regression parameters are estimated by maximizing a profiled nonparametric or empirical likelihood based on a local estimate of the conditional distribution function. Simulated and real data examples are shown, including an application of quantile regression to censored survival data from a clinical trial for myeloma.

半参数回归泛函AI 解读

A regression method is developed for a general class of functionals. A semiparametric linear model is adopted, and the regression parameters are estimated by maximizing a profiled nonparametric or empirical likelihood based on a local estimate of the conditional distribution function. Simulated and real data examples are shown, including an application of quantile regression to censored survival data from a clinical trial for myeloma.

摘要暂缺

删失生存数据中有序备择假设的检验AI 解读

In animal carcinogenesis experiments or comparative clinical trials where the r groups correspond to increasing dosages of an agent or an increasing number of additional modalities and the primary outcome is time to a certain event (e.g., tumor occurrence, death) T, ordered alternatives of the form H1 : S1 ≤ S2 ≤ · · · ≤ Sr , where Si(t) = Pr (Ti > t) is the survival function for group are of special interest. Using the counting process formulation of the problem and…

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生存数据马尔可夫模型的非参数检验AI 解读

Jones & Crowley (1989) introduced a general class of nonparametric statistics for right-censored survival data that includes many of the existing procedures involving a single covariate. This paper considers this class in the framework of a Markov model and suggests some tests especially appropriate for the Markov setting. Application to left-truncated and right-censored data is also given. Small sample properties and asymptotic relative efficiencies for several statistics…

生存分析中一类非参数检验的渐近性质AI 解读

Many of the popular nonparametric test statistics for censored survival data used in two-sample, $s$-sample trend and single continuous covariate situations are special cases of a general statistic, differing only in the choice of covariate-based label and weight function. Formulated in terms of counting processes and martingales this general statistic, standardized by the square root of its consistent variance estimator, is shown to be asymptotically normal under the null…

删失条件下二元生存函数的非参数估计AI 解读

A new family of estimators of a bivariate survival function based on censored vectors is obtained from a decomposition of the bivariate survival function. These estimators are uniformly consistent under bivariate censoring and are self-consistent under univariate censoring.

基于自洽性的不完整数据广义最大似然估计的大样本研究AI 解读

Self-consistent estimators for estimating distribution functions from incomplete data are presented. In many cases these estimators are also generalized maximum likelihood estimators. In this paper we discuss the theoretical properties of such estimators: existence, uniform consistency, law of the iterated logarithm, and weak convergence. Applications to the product limit estimator for right-censored data and to the estimator proposed by Turnbull (1974, 1976) for doubly…

Cox回归与一般条件似然的诊断方法AI 解读

Diagnostics for changes in the maximum likelihood estimate of β due to deletion of single observations in linear and logistic regression models are equivalent to diagnostics obtained from fitting augmented regression models. For the Cox proportional hazards model and in conditional models for arbitrarily matched or stratified data, diagnostics derived from augmented regression models are again useful and easy to compute. These diagnostics are applicable to different…

删失观测下一类半马尔可夫过程的非参数推断AI 解读

A class of semi-Markov models, those which have proportional hazards and which are forward-going (if state $j$ can be reached from $i$, then $i$ cannot be reached from $j$), are shown to fit into the multiplicative intensity model of counting processes after suitable random time changes. Standard large-sample results for counting processes following this multiplicative model can therefore be used to make inferences on the above class of semi-Markov models, including the case…

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用于多状态生存分析的若干检验统计量AI 解读

Some current nonparametric methods related to the log rank test are extended to cover ordered categories of response, e.g. response, no change, progression, and to incorporate information on duration of response. As an example, data from a protocol for the treatment of advanced breast cancer are analysed. The powers of several tests for this special case of multistate survival data are compared by Monte Carlo simulation for both small and moderate samples from exponential…

删失数据的多样本中位数检验AI 解读

A k-sample median test for censored data is proposed. The test is more sensitive to differences in median survival times than to differences in shape of the survival curves. The asymptotic distribution of the test statistic is derived under both the null and the alternative hypotheses and its variance is shown to take a simple form. The median test is compared to several other tests for censored data by computing asymptotic relative efficiencies and performing a Monte Carlo…

心脏移植生存数据的协变量分析AI 解读

This paper presents a number of analyses to assess the effects of various covariates on the survival of patients in the Stanford Heart Transplantation Program. The data have been updated from previously published versions and include some additional covariates, such as measures of tissue typing. The methods used allow for simultaneous investigation of several covariates and provide estimates of the relative risk of transplantation as well as significance tests.

器官移植研究中一种新非参数统计量的渐近正态性AI 解读

This article presents a proof of the asymptotic normality of a recently proposed nonparametric test statistic which has been used in analyzing heart transplant data.

用于器官移植研究的新非参数统计量的渐近正态性AI 解读

This article presents a proof of the asymptotic normality of a recently proposed nonparametric test statistic which has been used in analyzing heart transplant data.

关于若干导出对数秩检验的似然的札记AI 解读

A discussion is given of the derivation by Peto (1972) of the log rank test as the locally most powerful rank invariant test against certain Lehmann-type alternatives in the two-sample problem with censored data. The random censorship model is used to show that the test with this local optimality property may depend on the [censoring mechanism, even if censoring is applied equally to both groups. An explanation is offered of Peto's likelihood and of a special case of the…

关于导出对数秩检验的若干近期似然方法AI 解读

A discussion is given of the derivation by Peto (1972) of the log rank test as the locally most powerful rank invariant test against certain Lehmann-type alternatives in the two-sample problem with censored data. The random censorship model is used to show that the test with this local optimality property may depend on the [censoring mechanism, even if censoring is applied equally to both groups. An explanation is offered of Peto's likelihood and of a special case of the…