Title: Use of known population median of study variable for elevated estimation of population mean

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

Addresses: Department of Statistics, Babasaheb Bhimrao Ambedkar University, Lucknow, India ' Department of Business, Management and Accounting, University of Maryland Eastern Shore, Maryland, USA ' Department of Accounting, Virginia State University, Virginia, USA

Abstract: In this research, we proposed a new enhanced estimator of population mean of primary variable utilising the acquaintance on the known median of the main variable. We perused the features of the distribution of the proposed estimator till the approximation of order one. The articulated estimator is collated with the estimators in competition of the population mean, and the prerequisites of the suggested estimator to be more efficient over competing are derived. These conditions are put to the proof using the numerical example. The efficiencies are compared in terms of the mean squared errors.

Keywords: main variable; modified ratio estimator; mean squared error; percentage relative efficiency.

DOI: 10.1504/IJAMS.2023.128300

International Journal of Applied Management Science, 2023 Vol.15 No.1, pp.28 - 41

Received: 26 Sep 2019
Accepted: 23 Aug 2020
Published online: 17 Jan 2023 *