Far East Journal of Theoretical Statistics
Volume 58, Issue 2, Pages 133 - 149
(March 2020) http://dx.doi.org/10.17654/TS058020133 |
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IMPROVED EXPONENTIAL RATIO TRANSFORMED ESTIMATORS IN THE PRESENCE OF AUXILIARY VARIABLE IN SUCCESSIVE SAMPLING
T. Nazeema Beevi
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Abstract: In this paper, we propose an exponential transformed ratio estimator using one auxiliary variable for the estimation of the current population mean under successive sampling scheme and analyze its properties. The bias and mean squared error are obtained upto the first order of approximation. We show theoretically that the proposed estimator is more efficient than the estimator proposed by Cochran [2] using no auxiliary variable and simple mean per unit estimator. Optimum replacement strategy is also discussed. Results have been justified through empirical interpretation. |
Keywords and phrases: auxiliary variable, bias, exponential transformed estimator, mean square error, optimum replacement, successive sampling.
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