A New Ratio-Cum-Dual to Ratio Estimator of Finite Population Mean in Simple Random Sampling
Balkishan Sharma, Rajesh Tailor
Abstract
Balkishan Sharma, Rajesh Tailor
Abstract
Abstract: This paper proposes a ratio-cum-dual to ratio estimator of finite population mean. The bias and mean squared error of the proposed estimator are obtained. It has been shown that the proposed estimator is more efficient than the simple mean estimator, usual ratio estimator and dual to ratio estimator under certain given conditions. An Asymptotic optimum estimator in the class of estimator is identified with its mean squared error formula. To judge the merits of the proposed estimator over other estimators an empirical study is carried out.
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Abstract: This paper proposes a ratio-cum-dual to ratio estimator of finite population mean. The bias and mean squared error of the proposed estimator are obtained. It has been shown that the proposed estimator is more efficient than the simple mean estimator, usual ratio estimator and dual to ratio estimator under certain given conditions. An Asymptotic optimum estimator in the class of estimator is identified with its mean squared error formula. To judge the merits of the proposed estimator over other estimators an empirical study is carried out.
Key concepts: Estimator, Mathematics, Mean squared error, Ratio estimator, Minimum-variance unbiased estimator, Efficient estimator, Bias of an estimator, Trimmed estimator