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Improved Product Cum Dual to Product Estimator of Population Mean in Stratified Random Sampling |
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PP: 363-368 |
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Author(s) |
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Subhash Kumar Yadav,
Alok Kumar Shukla,
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Abstract |
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| This manuscript deals with the estimation of population mean in stratified random sampling where the units are
non-homogeneous for the characteristics under study using product cum dual to product estimator utilizing the negatively correlated
auxiliary variable. The expressions for the bias and mean square error (MSE) of proposed estimator have been obtained up to the first
degree of approximation. The optimum value of the constant a involved in the estimator that minimizes the mean square error of the
proposed estimator has been obtained. The minimum value of the mean square error of proposed estimator for this optimum value of
a has also been obtained. An efficiency comparison has also been made of the proposed estimator with other existing mentioned
estimators of population mean under stratified random sampling. Finally an empirical study is also carried out to judge the
performance of the proposed estimator along with the existing estimators under stratified random sampling. |
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