Title: New enhanced class of estimators of population mean using known median of study variable

Authors: S.K. Yadav; Dinesh K. Sharma; S.S. Mishra

Addresses: Department of Statistics, Babasaheb Bhimrao Ambedkar University, Lucknow-226025, UP, India ' Department of Business, Management and Accounting, University of Maryland Eastern Shore, Princess Anne, MD 21853, USA ' Department of Mathematics and Statistics (Centre of Excellence on Advanced Computing), Dr. R. M. L. Avadh University, Faizabad-224001, UP, India

Abstract: The present paper estimates the population mean of the variable under study by improving the class of estimators utilising the known information of the population median of the study variable. The sampling properties of the proposed class of estimators have been studied. In sampling properties, bias and mean squared errors (MSE) have been obtained. This is because a characterising scalar is involved in the estimator and it takes different values. Thus, the optimum value of this characterising constant which minimises the MSE of proposed class has also been obtained. The least value of the MSE of the proposed estimator is obtained for the optimal value of characterising constant. The proposed estimator has been compared with the competing estimators for various natural populations under simple random sampling scheme. The conditions under which, a proposed estimator performs better than above estimators have been given. The numerical study shows that the proposed estimator performs better than the competing estimators.

Keywords: study variable; auxiliary variable; median; bias; mean squared error; MSE; percentage relative efficiency.

DOI: 10.1504/IJMDA.2018.096061

International Journal of Multivariate Data Analysis, 2018 Vol.1 No.4, pp.337 - 347

Received: 20 Apr 2018
Accepted: 06 Jun 2018

Published online: 05 Nov 2018 *

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