<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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...

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

Publié en ligne: 09 juil. 2020

Pages: 61 - 75

DOI: https://doi.org/10.2478/jamsi-2020-0005

Mots clés
Study Variable, Auxiliary Variables, Simple Random Sampling, MSE, PRE

© 2020 S. Baghel et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Publié en ligne: 09 juil. 2020

Pages: 61 - 75

DOI: https://doi.org/10.2478/jamsi-2020-0005

Mots clésStudy Variable, Auxiliary Variables, Simple Random Sampling, MSE, PRE

© 2020 S. Baghel et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
Study Variable, Auxiliary Variables, Simple Random Sampling, MSE, PRE