Empirical likelihood for response differences in two linear regression models with missing data

被引：0
|
作者：
Yong-song Qin
Tao Qiu
Qing-zhu Lei
机构：
[1] Guangxi Normal University Guilin,Department of Mathematics
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2015年 / 31卷
关键词：
linear model; inverse probability weighted imputation; empirical likelihood; missing at random; confidence interval; 62G05; 62E20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Consider two linear models Xi = U′iβ + εiYj = V′jγ + ηj with response variables missing at random. In this paper, we assume that X, Y are missing at random (MAR) and use the inverse probability weighted imputation to produce ‘complete’ data sets for X and Y. Based on these data sets, we construct an empirical likelihood (EL) statistic for the difference of X and Y (denoted as Δ), and show that the EL statistic has the limiting distribution of χ12, which is used to construct a confidence interval for Δ. Results of a simulation study on the finite sample performance of EL-based confidence intervals on Δ are reported.
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收藏
页码：963 / 976
页数：13
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