Enhancing the Mean Ratio Estimators for Estimating Population Mean Using Non-Conventional Location Parameters

Conventional measures of location are commonly used to develop ratio estimators. However, in this article, we attempt to use some non-conventional location measures. We have incorporated tri-mean, Hodges-Lehmann, and mid-range of the auxiliary variable for this purpose. To enhance the efficiency of...

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Bibliographic Details
Published in:Revista Colombiana de estadística 2016-01, Vol.39 (1), p.63-79
Main Authors: Abid, Muhammad, Abbas, Nasir, Nazir, Hafiz Zafar, Lin, Zhengyan
Format: Article
Language:English
Subjects:
Bias
Correlation analysis
Estimating techniques
Mean square errors
Variance analysis
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Summary:Conventional measures of location are commonly used to develop ratio estimators. However, in this article, we attempt to use some non-conventional location measures. We have incorporated tri-mean, Hodges-Lehmann, and mid-range of the auxiliary variable for this purpose. To enhance the efficiency of the proposed mean ratio estimators, population correlation coefficient, coefficient of variation and the linear combinations of auxiliary variable have also been exploited. The properties associated with the proposed estimators are evaluated through bias and mean square errors. We also provide an empirical study for illustration and verification.
ISSN:0120-1751
2389-8976
DOI:10.15446/rce.v39n1.55139