A Note on Estimationg Variance of Finite Population Distribution Function

Abstract

Estimating finite population distribution function is an important problem to the survey samplers since it summarizes almost all the relevant information of interest about the finite population. Moreover due to its nonlinearity estimation of variance of estimators of distribution function remains an active area of research since Chambers et al., 1992. Both analytic and resampling-based variance estimators are developed earlier. Here we poropse a bootstrap hybrid variance estimator of model-based semi-patametric estimator of finite population distribution function estimator. We prove its consistency and also show that its numerical performances are superior to analytical estimator.