International Research Journal of Agricultural Economics and Statistics

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Variance Estimation Using Linear Combination of Tri-Mean and Quartiles


Affiliations
1 Division of Agricultural Statistics, Sher-e-Kashmir University of Agricultural Science and Technology-Kashmir, Kashmir (J&K), India
2 Division of Agricultural Statistics, Sher-e-Kashmir University of Agricultural Science and Technology-Kashmir, Kashmir(J&K), India
     

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In this paper, we have proposed a class of modified ratio type variance estimator for estimation of population variance of the study variable, when Tri-mean and Quartiles of the auxiliary variable are known. The bias and mean square error (MSE) of the proposed estimator are obtained. From the numerical study it is observed that the proposed estimator performs better than the existing estimators in the literature.

Keywords

Simple Random Sampling, Bias, Mean Square Error, Tri-Mean, Quartiles, Auxiliary Variable.
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  • Variance Estimation Using Linear Combination of Tri-Mean and Quartiles

Abstract Views: 248  |  PDF Views: 0

Authors

M. A. Bhat
Division of Agricultural Statistics, Sher-e-Kashmir University of Agricultural Science and Technology-Kashmir, Kashmir (J&K), India
S. Maqbool
Division of Agricultural Statistics, Sher-e-Kashmir University of Agricultural Science and Technology-Kashmir, Kashmir(J&K), India
T. A. Raja
Division of Agricultural Statistics, Sher-e-Kashmir University of Agricultural Science and Technology-Kashmir, Kashmir(J&K), India

Abstract


In this paper, we have proposed a class of modified ratio type variance estimator for estimation of population variance of the study variable, when Tri-mean and Quartiles of the auxiliary variable are known. The bias and mean square error (MSE) of the proposed estimator are obtained. From the numerical study it is observed that the proposed estimator performs better than the existing estimators in the literature.

Keywords


Simple Random Sampling, Bias, Mean Square Error, Tri-Mean, Quartiles, Auxiliary Variable.

References