Title: Use of auxiliary variables in searching efficient estimator of population mean

Authors: S.K. Yadav; Dinesh K. Sharma; S.S. Mishra; Alok Kumar Shukla

Addresses: Centre of Excellence on Advanced Computing, Department of Mathematics and Statistics, Dr. R.M.L. Avadh University, Faisabad-224001, U.P., India ' Department of Business, Management and Accounting, University of Maryland Eastern Shore, Princess Anne, MD 21853, USA ' Centre of Excellence on Advanced Computing, Department of Mathematics and Statistics, Dr. R.M.L. Avadh University, Faisabad-224001, U.P., India ' Department of Statistics, D.A.V. College, Kanpur-208001, U.P., India

Abstract: The paper deals with the improvement in Yadav et al. (2016) estimator of the population mean using the known coefficient of kurtosis and median of the auxiliary variable. The large sample properties of the estimator, bias and mean squared error (MSE), have been calculated up to the first order of approximation. The optimum values of the characterising scalars which minimise the MSE of the proposed estimator have been obtained. A comparative study has been conducted with the existing estimators of the population mean using auxiliary variable under simple random sampling scheme. To justify the improvement of proposed estimator over Yadav et al. (2016) and other estimators of the population mean, an empirical study is also presented by calculating the mean squared errors of the different estimator of the population mean under simple random sampling.

Keywords: ratio-cum-product estimator; coefficient of kurtosis; median; bias; mean squared error; MSE; efficiency.

DOI: 10.1504/IJMDA.2018.091810

International Journal of Multivariate Data Analysis, 2018 Vol.1 No.3, pp.230 - 244

Received: 13 Apr 2017
Accepted: 15 Apr 2017

Published online: 08 May 2018 *

Full-text access for editors Access for subscribers Purchase this article Comment on this article