An Efficient Class of Dual to Product-Cum- Dual to Ratio Estimators of Finite Population Mean in Sample Surveys
Sanjib Choudhury, Bhupendra Singh
Abstract
Sanjib Choudhury, Bhupendra Singh
Abstract
Abstra ct - This pa per considers a class of dual to product-cum-dual to ratio estimators for estimating finite population mean of the study variate using auxiliary variate. The bias and mean square error of the proposed estimator have been obtained. The asymptotically optimum estimator (AOE) in the class has also been identified along with its approximate bias and mean square error. Theoretical and empirical studies have been done to demonstrate the superiority of the proposed estimators over the other estimators.
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Abstra ct - This pa per considers a class of dual to product-cum-dual to ratio estimators for estimating finite population mean of the study variate using auxiliary variate. The bias and mean square error of the proposed estimator have been obtained. The asymptotically optimum estimator (AOE) in the class has also been identified along with its approximate bias and mean square error. Theoretical and empirical studies have been done to demonstrate the superiority of the proposed estimators over the other estimators.
Key concepts: Estimator, Mathematics, Mean squared error, Dual (grammatical number), Statistics, Class (philosophy), Population, Applied mathematics