分数填补下两总体分位数差异的半经验似然推断  

Semi-empirical likelihood inference for quantile differences of two populations based on fractional imputation

作　　者：张正家[1,2] 秦永松[1] 

机构地区：[1]广西师范大学数学科学学院,广西桂林541004 [2]桂林空军学院,广西桂林541002

出　　处：《高校应用数学学报（A辑）》2009年第4期391-400,共10页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(10661003);广西自然科学基金(0728092);教育部留学回国人员科研启动基金([2004]527)

摘　　要：在完全随机缺失机制情形,利用分数填补法填补缺失值,然后用经验似然方法构造两总体分位数差异的半经验似然比统计量,证明其渐近服从加权x^2分布并构造了相应的半经验似然置信区间。Based on fractional imputation, a semi-empirical likelihood statistic of quantile differences of two populations with missing data under missing completely at random （MCAR） mechanism is constructed and the asymptotic distribution of the statistic is proved to be a weighted chi-square distribution. The semi-empirical likelihood confidence interval for quantile differences of two populations is constructed based on the asymptotic result.

关 键 词：完全随机缺失 分数填补法 经验似然 分位数差异 置信区间 

分 类 号：O212.7[理学—概率论与数理统计]