Bii, Nelson KipronoOnyango, Christopher OumaOdhiambo, John2017-12-282017-12-282017Bii, N.K., Onyango, C.O. and Odhiambo, J. (2017) Estimating a Finite Population Mean under Random Non-Response in Two Stage Cluster Sampling with Replacement. Open Journal of Statistics , 7, 834-848. https://doi.org/10.4236/ojs.2017.750592161-71982161-718Xhttp://ir-library.ku.ac.ke/handle/123456789/18012Research ArticleNon-response is a regular occurrence in Sample Surveys. Developing estimators when non-response exists may result in large biases when estimating 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.enNon-ResponseNadaraya-Watson EstimationTwo Stage Cluster SamplingArticle