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An Estimator of Population Variance Using Auxiliary Information under General Sampling Design


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1 School of Studies in Statistics, Pt. Ravishankar Shukla University, Raipur, (C.G.), India
     

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The paper deal with a difference type estimator of population variance using auxiliary information is more efficient than various estimators under stringent conditions. Properties of proposed estimator have been studied after estimating the constants involved in the estimator and hence a modified regression type estimator has been suggested which has superiority over Isaki (1983) type regression estimator of population variance. At last numerical illustration have been made.

Keywords

Auxiliary Variable, Ratio and Regression Type Estimators, Bias, Mean Square Error (MSE), Relative Efficiency, Simple Random Sampling.
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  • An Estimator of Population Variance Using Auxiliary Information under General Sampling Design

Abstract Views: 222  |  PDF Views: 0

Authors

Vyas Dubey
School of Studies in Statistics, Pt. Ravishankar Shukla University, Raipur, (C.G.), India
Minal Uprety
School of Studies in Statistics, Pt. Ravishankar Shukla University, Raipur, (C.G.), India

Abstract


The paper deal with a difference type estimator of population variance using auxiliary information is more efficient than various estimators under stringent conditions. Properties of proposed estimator have been studied after estimating the constants involved in the estimator and hence a modified regression type estimator has been suggested which has superiority over Isaki (1983) type regression estimator of population variance. At last numerical illustration have been made.

Keywords


Auxiliary Variable, Ratio and Regression Type Estimators, Bias, Mean Square Error (MSE), Relative Efficiency, Simple Random Sampling.