关于区间数据的分布函数估计问题
Problems of Estimating a Distribution Function with Interval Censored Data
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摘要: 随机变量的区间观察值是指在随机试验中,我们只知道随机变量X是否落入某个可以观察的区间(TL,TR(该区间可以是来自某个已知或未知的二维分布),但不知道随机变量X的具体观察值.这类问题不同于以往讨论过的左截断,右截断或双侧截断问题,本文将所见到的一些有关分布函数方面的研究成果作了一个简要介绍,同时也给出了作者的最新研究结果。Abstract: An interval censored observation means that X is known either to lie inside an interval (XL, XR, or to lie below XL or above XR. But, we are not able to observe the exact value of the survival time X at all. This question is different from the usual right censoring, left censoring or double censoring. In this paper, we introduce some recent results about the estimates of unknown distribution function of interval censoring. Our research is also given simultaneously.