Exponential Method of Estimation in Two-Occasion Successive Sampling
The present work shows the efficient use of exponential method of estimation of current population mean in two-occasion successive sampling. Utilizing the information on two auxiliary variables which are readily available on both occasions and have positive and negative correlations with study variables besides the information on study variable from the previous occasion, efficient estimators of population mean of study variable on the current occasion have been proposed. Behaviors of the proposed estimators have been studied and compared with the sample mean estimator when there is no matching from the previous occasion and the natural successive sampling estimator, which is a linear combination of the means of the matched and unmatched portion of the sample at the current (second) occasion. Optimum replacement policies are discussed and empirical studies are carried out to show the dominance of the proposed estimator.
Exponential, successive sampling, auxiliary variable, bias, mean square error, optimum replacement policy.
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