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| 分数填补下线性模型响应变量差异的经验似然置信区间 | |
| 引用本文： | 黎玲,;庞伟才. 分数填补下线性模型响应变量差异的经验似然置信区间[J]. 广西师范学院学报（自然科学版）, 2009, 0(2): 31-36 |
| 作者姓名： | 黎玲, 庞伟才 |
| 作者单位： | [1]广西师范大学漓江学院,广西桂林541006; [2]广西师范学院数学科学学院,广西南宁530001 |
| 基金项目： | 基金项目：国家自然科学基金（10661003）;广西科学基金（0728092）;广西师范学院青年科研基金项目（081113001） |
| 摘 要： | 在一定条件下证明了缺失数据情形基于分数填补方法得到的线性模型响应变量一般差异指标的经验似然比统计量的渐近分布为加权χ^2（1）,由此可构造差异指标的经验似然置信区间. |
| 关 键 词： | 缺失数据 经验似然 置信区间 分数填补法 |
Empirical Likelihood Confidence Intervals for Various Differences of Response Variables in Linear Models Based on Fractional Imputation |
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| Affiliation: | LI Ling , PANG Wei-cai (1. Lijiang College of Guangxi Normal Univ. , Guilin 541006, China; 2. School of Mathematical Sciences, Guangxi Teachers Education University, Nanning 530001, China) |
| Abstract: | Under certain mild conditions on fractional imputation, it is shown that the asymptotic distribution of the empirical likelihood ratio for various differences of response variables in linear models is scalar χ^2（1）,which can be used to construct empirical likelihood confidence intervals for the differences. |
| Keywords: | missing data empirical likelihood confidence interval fractional imputation |
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