Confidence intervals for marginal parameters under fractional linear regression imputation for missing data

Item nonresponse occurs frequently in sample surveys and other applications. Imputation is commonly used to fill in the missing item values in a random sample {Yi;i=1,…,n}. Fractional linear regression imputation, based on the model with independent zero mean errors ϵi, is used to create one or more imputed values in the data file for each missing item Yi, where {Xi,i=1,…,n}, is observed completely. Asymptotic normality of the imputed estimators of the mean μ=E(Y), distribution function θ=F(y) for a given y, and qth quantile θq=F-1(q),0