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Restructured class of estimators for population mean using an auxiliary variable under simple random sampling scheme Cover

Restructured class of estimators for population mean using an auxiliary variable under simple random sampling scheme

By: S. Baghel and  S. K. Yadav  
Open Access
|Jul 2020

Abstract

The present paper provides a remedy for improved estimation of population mean of a study variable, using the information related to an auxiliary variable in the situations under Simple Random Sampling Scheme. We suggest a new class of estimators of population mean and the Bias and MSE of the class are derived upto the first order of approximation. The least value of the MSE for the suggested class of estimators is also obtained for the optimum value of the characterizing scaler. The MSE has also been compared with the considered existing competing estimators both theoretically and empirically. The theoretical conditions for the increased efficiency of the proposed class, compared to the competing estimators, is verified using a natural population.

DOI: https://doi.org/10.2478/jamsi-2020-0005 | Journal eISSN: 1339-0015 | Journal ISSN: 1336-9180
Language: English
Page range: 61 - 75
Published on: Jul 9, 2020
Published by: University of Ss. Cyril and Methodius in Trnava
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2020 S. Baghel, S. K. Yadav, published by University of Ss. Cyril and Methodius in Trnava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.