Volume 6, Issue 1, February 2018, Page: 28-42
Domain Mean Estimation Using Double Sampling with Non-Linear Cost Function in the Presence of Non Response
Alila David Anekeya, Department of Mathematics Masinde Muliro University of Science and Technology, Kakamega, Kenya
Ouma Christopher Onyango, Department of Statistics and Actuarial Science Kenyatta University, Nairobi, Kenya
Nyongesa Kennedy, Department of Mathematics Masinde Muliro University of Science and Technology, Kakamega, Kenya
Received: Dec. 17, 2017;       Accepted: Jan. 5, 2018;       Published: Feb. 15, 2018
DOI: 10.11648/j.sjams.20180601.14      View  1611      Downloads  70
Abstract
This paper describes theoretical estimation of domains mean using double sampling with a non-linear cost function in the presence of non-response. The estimation of domain mean is proposed using auxiliary information in which the study and auxiliary variable suffers from non-response in the second phase sampling. The expression of the biases and mean square errors of the proposed estimators are obtained. The optimal stratum sample sizes for given set of non-linear cost function are developed.
Keywords
Double Sampling for Ratio Estimation, Domain Mean, Auxiliary Variable, Non-Linear Cost Function and Non-Response
To cite this article
Alila David Anekeya, Ouma Christopher Onyango, Nyongesa Kennedy, Domain Mean Estimation Using Double Sampling with Non-Linear Cost Function in the Presence of Non Response, Science Journal of Applied Mathematics and Statistics. Vol. 6, No. 1, 2018, pp. 28-42. doi: 10.11648/j.sjams.20180601.14
Copyright
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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