Estimating a finite population mean under random non response in two stage cluster sampling with replacement

Abstract

Non-response is a regular occurrence in sample surveys. Developing estimators when non-response exists may result in large biases during estimation of population parameters. In this paper, a finite population mean is estimated when non-response exists randomly under two stage cluster sampling with replacement. It is assumed that non-response arises in the survey variable in the second stage of cluster sampling. Weighting method of compensating for non-response is applied. Asymptotic properties of the proposed estimator of the population mean are derived. Under mild assumptions, the estimator is shown to be asymptotically consistent.