Empilrical Likelihood for Non-parametric Regression Models with Missing Responses:Multiple Design Case  

作　　者：Qing-zhu Lei Yong-song Qin 

机构地区：[1]School of Mathematical Sciences, Guangxi Normal University, Guilin, Guangxi 541004, China

出　　处：《Acta Mathematicae Applicatae Sinica》2011年第1期1-12,共12页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No.10971038);the Natural Science Foundation of Guangxi (No.2010GXNSFA013117)

摘　　要：Empirical likelihood （EL） ratio statistic on θ=g（x） is constructed based on the inverse probability weighted imputation approach in a nonparametric regression model Y = g（x） ＋ε （x ∈ [0, 1]p） with fixed designs and missing responses, which asymptotically has X1^2 distribution. This result is used to obtain a EL based confidence interval on θ.Empirical likelihood （EL） ratio statistic on θ=g（x） is constructed based on the inverse probability weighted imputation approach in a nonparametric regression model Y = g（x） ＋ε （x ∈ [0, 1]p） with fixed designs and missing responses, which asymptotically has X1^2 distribution. This result is used to obtain a EL based confidence interval on θ.

关 键 词：Nonparametric regression empirical likelihood missing at random confidence interval 

分 类 号：O212.7[理学—概率论与数理统计] TU241[理学—数学]