Generalised Synthetic Estimator Using Double Sampling Scheme and Auxiliary Information
DOI:
https://doi.org/10.15415/mjis.2015.41002Keywords:
ratio, product, quadratic and ratio - cum - product synthetic estimator under double sampling scheme, sampling bias, mean square error and small area domainAbstract
In Small Area Estimation there are two type of estimation Direct and Indirect Estimation. The word ‘Synthetic Estimation’ was coined by National Centre for Health Statistics (1968) for the method of estimation. The term ‘Synthetic’ was used because these estimates were not derived directly from survey results. So ‘Synthetic Estimation’ is indirect method of estimation. If we want to use auxiliary information for estimation and the information is not available, this leads to the synthetic estimation under double sampling scheme. In this paper we propose a quadratic synthetic estimator and generalised ratio and product synthetic estimator under this scheme and compare their efficiency.
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References
Chochran, W.G. (1963): Sampling Techniques, John Wiley and Sons inc., N.Y.
G Ghangurde, P.D. and Singh, M.P. (1977). Synthetic Estimators in Periodic Household Surveys, Survey Methodology, 3, (151-181)
G Gonzalez, M.E and Waksberg, j. (1973), Estimation of the error of Synthetic Estimates, Paper Presented at the first meeting of the International Association of Survey Statisticians, Vienna, Austria.
Rao, J.N.K. (2003) Small Area Estimation. Wiley, New York. http://dx.doi.org/10.1002/0471722189
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Articles in Mathematical Journal of Interdisciplinary Sciences (Math. J. Interdiscip. Sci.) by Chitkara University Publications are Open Access articles that are published with licensed under a Creative Commons Attribution- CC-BY 4.0 International License. Based on a work at https://mjis.chitkara.edu.in. This license permits one to use, remix, tweak and reproduction in any medium, even commercially provided one give credit for the original creation.
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Mathematical Journal of Interdisciplinary Sciences by Chitkara University Publications is licensed under a Creative Commons Attribution 4.0 International License. Based on a work at https://mjis.chitkara.edu.in |
