Empirical likelihood confidence regions for one- or two-samples with doubly censored data

被引:1
作者
Shen, Junshan [1 ]
Yuen, Kam Chuen [2 ]
Liu, Chunling [3 ]
机构
[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
[2] Univ Hong Kong, Dept Stat & Actuarial Sci, Hong Kong, Hong Kong, Peoples R China
[3] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
基金
中国国家自然科学基金;
关键词
Chi-square convergence; Confidence region; Doubly censored data; EM algorithm; Empirical likelihood ratio; Moment constraint; SURVIVAL PROBABILITIES; MAXIMUM-LIKELIHOOD; SELF-CONSISTENT; EM ALGORITHM; RATIO; INFERENCE; MODEL; ESTIMATORS; REGRESSION; INTERVALS;
D O I
10.1016/j.csda.2015.01.010
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The purpose is to propose a new EM algorithm for doubly censored data subject to non-parametric moment constraints. Empirical likelihood confidence regions are constructed for one- or two-samples of doubly censored data. It is shown that the corresponding empirical likelihood ratio converges to a standard chi-square random variable. Simulations are carried out to assess the finite-sample performance of the proposed method. For illustration purpose, the proposed method is applied to a real data set with two samples. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:285 / 293
页数:9
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