EFFICIENT ESTIMATORS OF POPULATION MEAN USING AUXILIARY INFORMATION UNDER SIMPLE RANDOM SAMPLING

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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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eISSN: 2450-0291

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VOLUME 19 , ISSUE 2 (June 2018) > List of articles

EFFICIENT ESTIMATORS OF POPULATION MEAN USING AUXILIARY INFORMATION UNDER SIMPLE RANDOM SAMPLING

Mir Subzar / Showkat Maqbool / Tariq Ahmad Raja / Surya Kant Pal / Prayas Sharma *

Keywords : Auxiliary information, Bias, Mean Square Error, Simple Random Sampling, Efficiency

Citation Information : Statistics in Transition New Series. Volume 19, Issue 2, Pages 219-238, DOI: https://doi.org/10.21307/stattrans-2018-013

License : (CC BY-NC-ND 4.0)

Published Online: 22-July-2018

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ABSTRACT

In the present study we have proposed an improved family of estimators for estimation of population mean using the auxiliary information of median, quartile deviation, Gini’s mean difference, Downton’s Method, Probability Weighted Moments and their linear combinations with correlation coefficient and coefficient of variation. The performance of the proposed family of estimators is analysed by mean square error and bias and compared with the existing estimators in the literature. By this comparison we conclude that our proposed family of estimators is more efficient than the existing estimators. To support the theoretical results, we also provide the empirical study.

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