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分数填补下两总体分位数差异的经验似然置信区间
引用本文:王历容,秦永松,白云霞.分数填补下两总体分位数差异的经验似然置信区间[J].应用数学学报,2012,35(1):138-155.
作者姓名:王历容  秦永松  白云霞
作者单位:1. 湖南人文科技学院计算机科学技术系,娄底,417000
2. 广西师范大学数学科学学院,桂林,541004
基金项目:国家自然科学基金(10661003,10971038);广西自然科学基金(2010GXNSFA013117)资助项目
摘    要:设有两个非参数总体,其样本数据不完全,用分数填补法补足缺失数据,得到两总体的"完全"样本数据,在此基础上构造两总体分位数差异的经验似然置信区间.模拟结果显示,分数填补法可以得到更加精确的置信区间.

关 键 词:分位数  缺失数据  分数填补  经验似然  置信区间

Empirical Likelihood Confidence Intervals for Quant ile Differences of Two Populations under Fractional Imputation
WANG LIRONG , QIN YONGSONG , BAI YUNXIA.Empirical Likelihood Confidence Intervals for Quant ile Differences of Two Populations under Fractional Imputation[J].Acta Mathematicae Applicatae Sinica,2012,35(1):138-155.
Authors:WANG LIRONG  QIN YONGSONG  BAI YUNXIA
Institution:(School of Mathematical Sciences,Guangxi Normal University,Guilin 541004)
Abstract:Consider two independent nonparametric populations with missing data.Fractional imputation method is used to impute the missing data to obtain"complete"data. Empirical likelihood confidence intervals for quantile difference of two populations are then constructed based on the fractional imputation.It is shown that fractional imputation can improve the accuracy of confidence intervals.
Keywords:quantile  missing data  fractional imputation  empirical likelihood  confidence intervals
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