数学
一致性(知识库)
估计员
非参数统计
统计
区间(图论)
最大似然
渐近分布
计量经济学
区间数据
功能(生物学)
应用数学
组合数学
离散数学
进化生物学
数据包络分析
生物
标识
DOI:10.1080/10485252.2022.2147173
摘要
The generalised maximum likelihood estimator (GMLE) of a survival function So(t) based on truncated interval-censored (TIC) data has been studied since 1990s (by Frydman, H. (1994), ‘A note on nonparametric estimation of the distribution function from interval censored and truncated data’, Journal of the Royal Statistical Society, Series B, 56, 71–74 among others). In the literature related to the GMLE based on TIC data, there are several issues that have not been properly settled in both methodology and theory including: (1) innermost intervals based on the TIC data are not correctly formulated and they lead to inconsistent estimators which are not the GMLE; and (2) the consistency of the GMLE has not been established. We settle these two issues in this paper. In particular, we specify the correct forms of innermost intervals and establish consistency results for the GMLE under a realistic model.
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