Enhanced Estimators of Population Variance with the Use of Supplementary Information in Survey Sampling

Author:

Lone Showkat Ahmad1ORCID,Subzar Mir2,Sharma Ankita3ORCID

Affiliation:

1. Department of Basic Sciences, Saudi Electronic University, Jeddah Campus, Riyadh, Saudi Arabia

2. Division of Agricultural Statistics SKUAST-K, Shalimar 190025, India

3. Department of Statistics, University of Jammu, Jammu, India

Abstract

In the present study, we propose the proficient class of estimators of the finite population mean, while incorporating the nonconventional location and nonconventional measures of dispersion with coefficient of variation of the auxiliary variable. Properties associated with the suggested class of improved estimators are derived, and an efficiency comparison with the usual unbiased ratio estimator and other existing estimators under consideration in the present study is established. An empirical study has also been provided to validate the theoretical results. Finally, it is established that the proposed class of estimators of the finite population variance proves to be more efficient than the existing estimators mentioned in this study.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Reference18 articles.

1. Use of auxiliary information in estimating the finite population variance;A. K. Das;Sankhya C,1978

2. Ratio estimators for the population variance in simple and stratified random sampling

3. Sub sampling rules for item non response of an estimator based on the combination of regression and ratio;C. N. Bouza;Journal of King Saud Science,2019

4. Variance Estimation Using Auxiliary Information

5. Improved estimation of finite population variance using quartiles;H. P. Singh;Istatistik Journal of The Turkish Statistical Association,2013

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