缺失数据下线性EV模型均值的经验似然推断  

Empirical Likelihood Inference for the Mean of a Linear EV Models with Missing Data

作　　者：魏成花 胡锡健[1] 

机构地区：[1]新疆大学数学与系统科学学院,乌鲁木齐830046

出　　处：《重庆理工大学学报（自然科学）》2014年第8期114-116,139,共4页Journal of Chongqing University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(41261087)

摘　　要：考虑了响应变量随机缺失情形下的线性EV模型,利用逆概率加权的方法构造响应变量均值的经验对数似然比统计量,在一定条件下证明了所构造的经验对数似然比统计量渐近于卡方分布,利用这个结果可构造均值的置信域。The missing response problem in the linear EV（ error-in-varibles） models is investigated.Using the inverse probability-Weighted method,the empirical log-likelihood ratio statistics for the Mean in the model is constructed. It is proved that the proposed statistics are asymptotically chisquare under some suitable conditions. With this results,the confidence region for the Mean can be constructed.

关 键 词：线性EV模型 缺失数据 经验似然 卡方分布 

分 类 号：O211.9[理学—概率论与数理统计]