New Generalized Estimators for the Population Variance Using Auxiliary Information

Abstract

We suggest a generalized class of estimators for the population variance
using an auxiliary variable. Triphati et al. (T.P. Tripathi, Singh, H.P.
and Upadhyaya, L.N. A general method of estimation and its application to the estimation of coefficient of variation, Statistics in Transition
5(6), 887–908, 2002) proposed some generalized estimators for a population parameter. By adapting these estimators to population variance,
we develop some estimators. We obtain the mean square error (MSE)
equation of the proposed estimators. We illustrate the results with an
application using original data.

Keywords

• Variance estimation,Ratio estimator,Auxiliary variable,Bias,Minimum mean square error,2000 AMS Classification: 62D05

References

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