Empilrical likelihood for non-parametric regression models with missing responses: Multiple design case

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)+ɛ (x ∈ [0, 1] ^p ) with fixed designs and missing responses, which asymptotically has χ ₁² distribution. This result is used to obtain a EL based confidence interval on θ.