A New-Fangled Ratio-Type Exponential Estimator for Population Variance using Auxiliary Information

Authors

Khalid Ul Islam Rather, Division of Statistics and Computer Science, Main Campus SKUAST-J, Chatha Jammu-180009, IndiaFollow
Ayed AL e’damat, Department of Mathematics, Faculty of Science, AL Hussein Bin Talal University, P.O Box 20, Ma’an, JordanFollow
Tanveer Ahmad Tarray, Department of Mathematical Sciences, Islamic University of Science and Technology, Kashmir, 192122 IndiaFollow
M. Iqbal Jeelani, Division of Statistics and Computer Science, Main Campus SKUAST-J, Chatha Jammu-180009, IndiaFollow

Author Country (or Countries)

India

Abstract

This manuscript provides new exponential ratio type estimator in simple random sampling for estimating the population variance using auxiliary information. The key purpose of this paper is to propose a new estimator and to increase the efficiency of the estimator for the population variance. The proposed exponential product-type estimator’s bias and mean square error expressions have been derived. The optimum value of the characterizing scalar has been found, which minimizes the MSE of the proposed estimator. The proposed estimator was theoretically compared to competing estimators. It is shown that the proposed estimator outperforms its competitors. To demonstrate the practical use of different estimation formulae and empirically demonstrate the efficiency of the constructed estimators, a numerical analysis is conducted using real data sets.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/120225

Recommended Citation

Ul Islam Rather, Khalid; AL e’damat, Ayed; Ahmad Tarray, Tanveer; and Iqbal Jeelani, M. (2023) "A New-Fangled Ratio-Type Exponential Estimator for Population Variance using Auxiliary Information," Journal of Statistics Applications & Probability: Vol. 12: Iss. 2, Article 26.
DOI: http://dx.doi.org/10.18576/jsap/120225
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol12/iss2/26