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病例对照抽样下的现状数据AI 解读

In this paper, we show that the distribution function of survival times is identified, up to a one‐parameter family of distribution functions, based on information from case‐control current status data. With supplementary information on the population frequency of cases relative to controls, a simple weighted version of the nonparametric maximum likelihood estimator for prospective current status data provides a natural estimator for case‐control samples. Following the…

一类双重删失现时状态模型的非参数极大似然估计及伴侣研究应用AI 解读

The California Partners' Study is an ongoing investigation of heterosexual HIV transmission in partners of infected index cases (Padian, et al., 1987; Shiboski & Jewell, 1990). In addition to the HIV-status of the partner at the recruiting time one also observes the initial time of the partnership and a lower bound for the infection time of the index case. Following Jewell, Malani & Vittinghoff (1994) we assume that the infection time of the index case is uniformly…

数据报告延迟下含协变量右删失生存分布的局部有效估计AI 解读

For many sources of survival data, there is a delay between the recording of vital status and its availability to the analyst, and the Kaplan-Meier estimator is typically inconsistent in these situations. In this paper we identify the optimal estimation problem. As a result of the curse of dimensionality, no globally efficient nonparametric estimator exists with a good practical performance at moderate sample sizes. Following the approach of Robins & Rotnitzky (1992), given…

寿命与疾病发病时间分布的有效估计AI 解读

We study efficient nonparametric maximum likelihood estimation of the distribution of onset and lifetime associated with an irreversible disease that is only detectable at sacrifice or death. We show that, if the onset distribution is continuous, then estimation of the lifetime distribution cannot be improved by using current status information on the time till onset. In this case the Kaplan-Meier estimator of the lifetime distribution is asymptotically efficient. The…