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双重稳健泛函的选择性机器学习AI 解读

Summary While model selection is a well-studied topic in parametric and nonparametric regression or density estimation, selection of possibly high-dimensional nuisance parameters in semiparametric problems is far less developed. In this paper, we propose a selective machine learning framework for making inferences about a finite-dimensional functional defined on a semiparametric model, when the latter admits a doubly robust estimating function and several candidate machine…

时变处理边际结构Cox模型的工具变量估计AI 解读

Summary Robins (1998) introduced marginal structural models, a general class of counterfactual models for the joint effects of time-varying treatments in complex longitudinal studies subject to time-varying confounding. Robins (1998) established the identification of marginal structural model parameters under a sequential randomization assumption, which rules out unmeasured confounding of treatment assignment over time. The marginal structural Cox model is one of the most…

对《删失下生存函数的非参数广义置信推断》的回复AI 解读

We are very grateful to Professors Taraldsen, Lindqvist and Martin for providing stimulating and thoughtful discussions about our paper (Cui & Hannig, 2019). Several important questions are raised by the discussants. We respond to their comments in turn, omitting those points we agree with or to which we have nothing insightful to add. Thank you for the thorough review of fiducial inference in the first part of your discussion (Taraldsen & Lindqvist, 2019). An interesting…

删失下生存函数的非参数广义信赖推断AI 解读

Summary Since the introduction of fiducial inference by Fisher in the 1930s, its application has been largely confined to relatively simple, parametric problems. In this paper, we present what might be the first time fiducial inference is systematically applied to estimation of a nonparametric survival function under right censoring. We find that the resulting fiducial distribution gives rise to surprisingly good statistical procedures applicable to both one-sample and…