2016American Journal of Operational ResearchOpen access

Modified Ratio and Product Estimators for Estimating Population Mean in Two-Phase Sampling

Subhash Kumar Yadav, Sat Gupta, S.S. Mishra, Alok Kumar Shukla

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Abstract

In the present article, we have proposed a modified class of ratio and product type estimators of population mean using auxiliary information in two-phase sampling. The expressions for the Bias and Mean Squared Error of the proposed estimators have been obtained up to the first order of approximation. An efficiency comparison has been made with some of the other ratio and product estimators of population mean under two- phase sampling. A numerical study is also carried out to evaluate the performance of proposed and existing ratio and product estimators. It has been shown that the proposed estimators have smaller mean squared errors.

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What this paper is about

In the present article, we have proposed a modified class of ratio and product type estimators of population mean using auxiliary information in two-phase sampling. The expressions for the Bias and Mean Squared Error of the proposed estimators have been obtained up to the first order of approximation. An efficiency comparison has been made with some of the other ratio and product estimators of population mean under two- phase sampling. A numerical study is also carried out to evaluate the performance of proposed and existing ratio and product estimators. It has been shown that the proposed estimators have smaller mean squared errors.

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Available abstract

In the present article, we have proposed a modified class of ratio and product type estimators of population mean using auxiliary information in two-phase sampling. The expressions for the Bias and Mean Squared Error of the proposed estimators have been obtained up to the first order of approximation. An efficiency comparison has been made with some of the other ratio and product estimators of population mean under two- phase sampling. A numerical study is also carried out to evaluate the performance of proposed and existing ratio and product estimators. It has been shown that the proposed estimators have smaller mean squared errors.

Key concepts: Estimator, Population mean, Mean squared error, Mathematics, Statistics, Ratio estimator, Sampling (signal processing), Product (mathematics)

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