Title: New exponential ratio type estimators of the population mean under simple random sampling

Authors: S.K. Yadav; Dinesh K. Sharma; Kate Brown

Addresses: Department of Statistics, Babasaheb Bhimrao Ambedkar University, Lucknow-226025, U.P., India ' Department of Business, Management and Accounting, University of Maryland Eastern Shore, Princess Anne, MD 21853, USA ' Department of Business, Management and Accounting, University of Maryland Eastern Shore, Princess Anne, MD 21853, USA

Abstract: In this paper, we propose two useful estimators of the population mean employing the known population median of the study variable. We study properties like bias and mean squared error (MSE) of the sampling distribution of the suggested estimators. We obtain the least MSEs for the optimum values of the constants involved in the proposed estimators and compare them with the competing ratio estimators of the population mean using the auxiliary information. The results of the numerical analysis show that for optimal conditions, the suggested ratio type estimators are more efficient than competing regression and ratio type estimators.

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

DOI: 10.1504/IJBDA.2019.104148

International Journal of Business and Data Analytics, 2019 Vol.1 No.2, pp.111 - 123

Received: 30 Mar 2018
Accepted: 25 Jul 2018
Published online: 20 Dec 2019 *

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