Advances and Applications in Statistics
Volume 11, Issue 1, Pages 87 - 99
(February 2009)
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A NOTE ON SAMPLING OVER TWO OCCASIONS FOR THE ESTIMATION OF CURRENT POPULATION PRODUCT
Amelia V. Garcí¡ Luengo (Spain) and Inmaculada Oñ¡ ƒasado (Spain)
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Abstract: The problem of estimation of the population product for the current occasion based on the samples selected over two occasions has been considered. This estimator is obtained suitably combining two independent estimates of the population product. One estimate is derived from retained sample using double sampling estimator (method ratio cum product) for the product of two means, while the other is an ordinary product estimate derived from the new sample. The expression for optimum estimator, its mean square error, the optimum matched proportion, the gain in efficiency of the proposed estimate over the direct estimate using no information gathered on the first occasion, have been computed. An empirical study is made to study the performance of the proposed strategy. |
Keywords and phrases: successive sampling, population product estimator, matching fraction, gain in efficiency. |
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