Estimating a Finite Population Mean under Random Non-Response in Two Stage Cluster Sampling with Replacement
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Date
2017
Authors
Bii, Nelson Kiprono
Onyango, Christopher Ouma
Odhiambo, John
Journal Title
Journal ISSN
Volume Title
Publisher
Scientific Research Publishing
Abstract
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.
Description
Research Article
Keywords
Non-Response, Nadaraya-Watson Estimation, Two Stage Cluster Sampling
Citation
Bii, 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.2017.75059