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

• Main Authors: MUHAMMAD ABID, NASIR ABBAS, HAFIZ ZAFAR NAZIR, ZHENGYAN LIN
• Format: Article
• Language: English
• Published: Universidad Nacional de Colombia
• Series: Revista Colombiana de Estadística
• Subjects: coeficiente de correlación poblacional; coeficiente de variación; error cuadrático medio; estimador de Hodges-Lehmann; sesgo; trimean
• Online Access: http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0120-17512016000100005&lng=en&tlng=en

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.