<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper we have proposed a class of modified ratio type variance estimators for estimation of population variance of the study variable using the known parameters of the auxiliary variable. The bias and mean squared error of the proposed estimators are obtained and also derived the conditions for which the proposed estimators perform better than the traditional ratio type variance estimator and existing modified ratio type variance estimators. Further we have compared the proposed estimators with that of the traditional ratio type variance estimator and existing modified ratio type variance estimators for certain natural populations.</p></abstract>

In this paper we have proposed a class of modified ratio type variance estimators for estimation of population variance of the study variable using the known parameters of the auxiliary variable. The bias and mean squared error of the proposed estimators are obtained and also derived the conditions for which the proposed estimators perform better than the traditional ratio type variance estimator and existing modified ratio type variance estimators. Further we have compared the proposed estimators with that of the traditional ratio type variance estimator and existing modified ratio type variance estimators for certain natural populations.

A Class of Modified Ratio Estimators for Estimation of Population Variance

Department of Statistics Ramanujan School of Mathematical Sciences, Pondicherry University R V Nagar, Kalapet, Puducherry – 605014, India.

Department of Statistics Ramanujan School of Mathematical Sciences, Pondicherry University R V Nagar, Kalapet, Puducherry – 605014, India

Journal of Applied Mathematics, Statistics and Informatics

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

{"article-title":"A Class of Modified Ratio Estimators for Estimation of Population Variance"}

In this paper we have proposed a class of modified ratio type variance estimators for estimation of population variance of the study variable using the known...

A Class of Modified Ratio Estimators for Estimation of Population Variance

Published Online: Jun 27, 2015

Page range: 91 - 114

DOI: https://doi.org/10.1515/jamsi-2015-0006

Keywords
Coefficient of variation, Kurtosis, Median, Natural populations, Simple random sampling, Skewness

© Faculty of Natural Sciences, University of Saint Cyril and Metodius

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

A Class of Modified Ratio Estimators for Estimation of Population Variance

Published Online: Jun 27, 2015

Page range: 91 - 114

DOI: https://doi.org/10.1515/jamsi-2015-0006

KeywordsCoefficient of variation, Kurtosis, Median, Natural populations, Simple random sampling, Skewness

© Faculty of Natural Sciences, University of Saint Cyril and Metodius

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

Keywords
Coefficient of variation, Kurtosis, Median, Natural populations, Simple random sampling, Skewness