A NEW RATIO ESTIMATOR: AN ALTERNATIVE TO REGRESSION ESTIMATOR IN SURVEY SAMPLING USING AUXILIARY INFORMATION

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Statistics in Transition New Series

Polish Statistical Association

Central Statistical Office of Poland

Subject: Economics, Statistics & Probability

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ISSN: 1234-7655
eISSN: 2450-0291

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VOLUME 20 , ISSUE 4 (December 2019) > List of articles

A NEW RATIO ESTIMATOR: AN ALTERNATIVE TO REGRESSION ESTIMATOR IN SURVEY SAMPLING USING AUXILIARY INFORMATION

Mir Subzar / S. Maqbool / T. A. Raja / Prayas Sharma

Keywords : ratio type estimators, auxiliary information, bias, mean square error, simple random sampling, efficiency

Citation Information : Statistics in Transition New Series. Volume 20, Issue 4, Pages 181-189, DOI: https://doi.org/10.21307/stattrans-2019-041

License : (CC BY-NC-ND 4.0)

Received Date : 18-January-2018 / Accepted: 16-August-2018 / Published Online: 13-December-2019

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ABSTRACT

The most dominant problem in the survey sampling is to obtain the better ratio estimators for the estimation of population mean or population variance. Estimation theory is enhanced by using the auxiliary information in order to improve on designs, precision and efficiency of estimators. A modified class of ratio estimator is suggested in this paper to estimate the population mean. Expressions for the bias and the mean square error of the proposed estimators are obtained. Both analytical and numerical comparison has shown the suggested estimator to be more efficient than some existing ones. The bias of the suggested estimator is also found to be negligible for the population under consideration, indicating that the estimator is as good the regression estimator and better than the other estimators under consideration.

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