Title: A remedy for enhanced estimation of population mean using exponential ratio-cum-product type estimator under non-response

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

Addresses: Department of Statistics, School of Physical and Decision Sciences, Babasaheb Bhimrao Ambedkar University (A Central University), Lucknow, UP, 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 ' Department of Statistics, School of Physical and Decision Sciences, Babasaheb Bhimrao Ambedkar University (A Central University), Lucknow, UP, India

Abstract: The present paper provides an improved estimation of the population mean of the study variable using known information on two auxiliary variables in the situation of non-response under a simple random sampling scheme. The bias and MSE of the proposed estimator are derived until the approximation of degree one. The optimal values of the scalars of the suggested estimator are obtained by minimising its MSE. The lowest MSE of the proposed estimator is also obtained for these optimal values of the scalars. Additionally, the bias and MSE are compared with a set of competing estimators, both theoretically and empirically. The theoretical efficiency conditions of the suggested estimator are compared to alternative estimators. These efficiency conditions are verified using two data sets from a natural population.

Keywords: non-response; mean squared error; MSE; bias; study variable; auxiliary variables.

DOI: 10.1504/IJOR.2023.130055

International Journal of Operational Research, 2023 Vol.46 No.4, pp.550 - 570

Received: 15 Jul 2020
Accepted: 23 Aug 2020
Published online: 04 Apr 2023 *

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