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2016•DergiPark (Istanbul University)Open access

A GENERALIZED CLASS OF DOUBLE SAMPLING RATIO CUM DUAL TO RATIO ESTIMATOR IN PRESENCE OF NON-RESPONSE

Waikhom Warseen Chanu, Bhupendra Kumar Singh, Yater Tato

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Abstract

In the present paper, we propose a generalized class of double sampling ratio cum dual to ratio estimator in two cases in presence of non-response to estimate the population mean of the study variable y. The bias and mean square error (MSE) of the proposed estimator has been obtained for both the cases. The asymptotically optimum estimator (AOE) in this class has also been obtained along with its bias and MSE. Comparisons have been made with the existing similar estimators theoretically and numerically to demonstrate the superiority of the proposed estimator.

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What this paper is about

In the present paper, we propose a generalized class of double sampling ratio cum dual to ratio estimator in two cases in presence of non-response to estimate the population mean of the study variable y. The bias and mean square error (MSE) of the proposed estimator has been obtained for both the cases. The asymptotically optimum estimator (AOE) in this class has also been obtained along with its bias and MSE. Comparisons have been made with the existing similar estimators theoretically and numerically to demonstrate the superiority of the proposed estimator.

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Available abstract

In the present paper, we propose a generalized class of double sampling ratio cum dual to ratio estimator in two cases in presence of non-response to estimate the population mean of the study variable y. The bias and mean square error (MSE) of the proposed estimator has been obtained for both the cases. The asymptotically optimum estimator (AOE) in this class has also been obtained along with its bias and MSE. Comparisons have been made with the existing similar estimators theoretically and numerically to demonstrate the superiority of the proposed estimator.

Key concepts: Estimator, Class (philosophy), Mathematics, Statistics, Dual (grammatical number), Ratio estimator, Sampling (signal processing), Applied mathematics

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