Abstract
The present paper deals with the two modified ratio estimators for estimation of population mean of the study variable using the linear combination of the known population values of the Correlation Coefficient and the Median of the auxiliary variable. The biases and the mean squared errors of the proposed estimators are derived and are compared with that of existing modified ratio estimators for certain natural populations. Further we have also derived the conditions for which the proposed estimators perform better than the existing modified ratio estimators. From the empirical study it is also observed that the proposed modified ratio estimators perform better than the existing modified ratio estimators.
Highlights
The simplest estimator of population mean is the sample mean obtained by using simple random sampling without replacement (SRSWOR), when there is no additional information on the auxiliary variable available
The lists of modified ratio estimators together with their biases, mean squared errors and constants available in the literature are classified into two classes namely Class 1, Class 2 and are given respectively in Table 1 and Table 2 respectively
For want of space; for the sake of convenience to the readers and for the ease of comparisons, the modified ratio estimators given in Table 1, Table 2 are represented into two classes as given below: Class 1:The biases, the mean squared errors and the constants of the modified ratio type estimators Y1 to Y 7 listed in the
Summary
Kumarapandiyan population mean Y 1 N i N 1Yi with some desirable properties on the basis of a random sample selected from the population U using auxiliary information. When population parameters of the auxiliary variable X such as Population Mean, Coefficient of Variation, Coefficient of Kurtosis, Coefficient of Skewness, Correlation Coefficient, Median are known, a number of estimators such as ratio, product and linear regression estimators and their modifications are proposed in the literature. Before discussing further about the modified ratio estimators and the proposed modified ratio estimators the notations to be used in this paper are described below:. Y ‐ Study variable X - Auxiliary variable Y, X ‐ Population means y, x ‐ Sample means
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
