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分数填补下两非参数总体一般差异的经验似然置信区间
引用本文:黎玲,秦永松.分数填补下两非参数总体一般差异的经验似然置信区间[J].高校应用数学学报(A辑),2010,25(1).
作者姓名:黎玲  秦永松
作者单位:1. 广西师范大学漓江学院,广西桂林,541006
2. 广西师范大学数学科学学院,广西桂林,541004
基金项目:国家自然科学基金,广西自然科学基金 
摘    要:在一定的条件下证明了缺失数据情形基于分数填补方法得到的两非参数总体一般差异指标的经验似然比统计量的渐近分布为加权χ21,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 two nonparametric populations based on fractional imputation
LI Ling,QIN Yong-song.Empirical likelihood confidence intervals for various differences of two nonparametric populations based on fractional imputation[J].Applied Mathematics A Journal of Chinese Universities,2010,25(1).
Authors:LI Ling  QIN Yong-song
Abstract:Under certain mild conditions based on fractional imputation, it is shown that the asymptotic distributions of the empirical likelihood ratio statistics for various differences of two non-parametric populations are scaled X_1~2, 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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