A New Modified Product Estimator for Estimation of Population Mean when Median of the Auxiliary Variable is known

M. Zahid Hasan¹ , M. Ali Hossian² , M. Sultana³ , K. Fatema⁴ , M. Murad Hossain⁵

Section:Research Paper, Product Type: Journal-Paper
Vol.6 , Issue.6 , pp.108-113, Dec-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i6.108113

Online published on Dec 31, 2019

Copyright © M. Zahid Hasan, M. Ali Hossian, M. Sultana, K. Fatema, M. Murad Hossain . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In the present paper, it has been proposed a new modified product estimator of population mean when the median of the auxiliary variable is known. The paper clearly states those product estimators are used when correlation between study variable and auxiliary variable is negative. Then we have defined the proposed estimator and derived bias, mean square error of the same. A theoretical analysis from comparison shows improved performance in our proposed estimator. Further from numerical study the calculated mean square error and bias stamps the performance. The paper ends by showing high rations of the existing estimator to the proposed one.

Key-Words / Index Term :
Auxiliary Variable, Bias, Mean Squared Error, Modified Product Estimator, Simple Random Sampling

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