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.
基金
Supported by the National Natural Science Foundation of China (No.10971038)
the Natural Science Foundation of Guangxi (No.2010GXNSFA013117)