On the use of chain-type ratio to difference estimator in successive sampling

On the use of chain-type ratio to difference estimator in successive sampling

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Article ID: iaor20072209
Country: India
Volume: 5
Issue: S06
Start Page Number: 41
End Page Number: 49
Publication Date: Sep 2006
Journal: International Journal of Applied Mathematics & Statistics (IJAMAS)
Authors: ,
Keywords: statistics: sampling
Abstract:

Use of auxiliary information for improving the precision of estimates is well known technique in sample surveys. In successive (rotation) sampling it is advantageous to use the information collected on previous occasions for improving the precision of estimates at current occasion. The previous information may be in form of an auxiliary character or the character under study itself or both. In the present work, a new chaintype ratio to difference estimator has been proposed using the information on an auxiliary character in successive (rotation) sampling over two occasions. The proposed estimator has been compared with sample mean estimator when there is no matching and the optimum estimator, which is a combination of the means of the matched and unmatched portions of the sample at the second occasion. Optimum replacement policy is also discussed. Results have been justified empirically.

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