Estimating a Finite Population Mean under Random Non-Response in Two Stage Cluster Sampling with Replacement - Open Journal of Statistics

OJS > Vol.7 No.5, October 2017

Estimating a Finite Population Mean under Random Non-Response in Two Stage Cluster Sampling with Replacement ()

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Download as PDF (Size: 393KB) PP. 834-848

DOI: 10.4236/ojs.2017.75059 1,291 Downloads 2,457 Views Citations

Author(s)

Nelson Kiprono Bii¹, Christopher Ouma Onyango², John Odhiambo¹

Affiliation(s)

¹Institute of Mathematical Sciences, Strathmore University, Nairobi, Kenya.
²Department of Statistics, Kenyatta University, Nairobi, Kenya.

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.

KEYWORDS

Non-Response, Nadaraya-Watson Estimation, Two Stage Cluster Sampling

Share and Cite:

Bii, N. , Onyango, C. 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. doi: 10.4236/ojs.2017.75059.

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