(Scientific Research Publishing, 2017) Bii, Nelson Kiprono; Onyango, Christopher Ouma; Odhiambo, John
Non-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.