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Likelihood Methods in Survival Analysis: With R Examples

生存分析中的似然方法:附 R 示例

Jun Ma, Annabel Webb, and Harold Malcolm Hudson. Boca Raton, FL: Chapman & Hall/CRC Press, 2024, xv + 384 pp., $130.00(H), ISBN: 978-0-815-36284-5.Likelihood Methods in Survival Analysis—With R Exa...

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On the relative efficiency of the intent-to-treat Wilcoxon–Mann–Whitney test in the presence of noncompliance

存在不依从时意向治疗Wilcoxon–Mann–Whitney检验的相对效率

Summary A general framework is set up to study the asymptotic properties of the intent-to-treat Wilcoxon–Mann–Whitney test in randomized experiments with nonignorable noncompliance. Under location-shift alternatives, the Pitman efficiencies of the intent-to-treat Wilcoxon–Mann–Whitney and $t$ tests are derived. It is shown that the former is superior if the compliers are more likely to be found in high-density regions of the outcome distribution or, equivalently, if the…

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A unified approach to the calculation of information operators in semiparametric models

半参数模型中信息算子的统一计算方法

Summary The infinite-dimensional information operator for the nuisance parameter plays a key role in semiparametric inference, as it is closely related to the regular estimability of the target parameter. Calculation of information operators has traditionally proceeded in a case-by-case manner and has often entailed lengthy derivations with complicated arguments. We develop a unified framework for this task by exploiting commonality in the form of semiparametric likelihoods.…

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On causal estimation using $U$-statistics

基于 U 统计量的因果估计

We introduce a general class of causal estimands which extends the familiar notion of average treatment effect. The class is defined by a contrast function, prespecified to quantify the relative favourability of one outcome over another, averaged over the marginal distributions of two potential outcomes. Natural estimators arise in the form of |$U$|-statistics. We derive both a naive inverse propensity score weighted estimator and a class of locally efficient and doubly…

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Efficient Estimation of Semiparametric Transformation Models for the Cumulative Incidence of Competing Risks

竞争风险累积发生率半参数变换模型的有效估计

Summary The cumulative incidence is the probability of failure from the cause of interest over a certain time period in the presence of other risks. A semiparametric regression model proposed by Fine and Gray has become the method of choice for formulating the effects of covariates on the cumulative incidence. Its estimation, however, requires modelling of the censoring distribution and is not statistically efficient. We present a broad class of semiparametric transformation…

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Maximum likelihood estimation for semiparametric transformation models with interval-censored data

区间删失数据半参数变换模型的最大似然估计

Interval censoring arises frequently in clinical, epidemiological, financial and sociological studies, where the event or failure of interest is known only to occur within an interval induced by periodic monitoring. We formulate the effects of potentially time-dependent covariates on the interval-censored failure time through a broad class of semiparametric transformation models that encompasses proportional hazards and proportional odds models. We consider nonparametric…

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