Generalized Estimators of Population Median using Auxiliary Information
H. S. Jhajj, H. K. Bhangu
Abstract
H. S. Jhajj, H. K. Bhangu
Abstract
For estimating the median of the population, we have proposed two estimators using linear transformations using the information on median of the auxiliary variable. The expressions for biases, mean square errors and their minimum values have been obtained. It has been shown that proposed estimators are always efficient than the ratio estimator and equally efficient to the other estimators derived from a different approach respectively defined by Kuk and Mak (1989). The comparison of estimators among the proposed estimators with respect to their biases has also been done.The results have been illustrated by carrying out the simulation study.
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For estimating the median of the population, we have proposed two estimators using linear transformations using the information on median of the auxiliary variable. The expressions for biases, mean square errors and their minimum values have been obtained. It has been shown that proposed estimators are always efficient than the ratio estimator and equally efficient to the other estimators derived from a different approach respectively defined by Kuk and Mak (1989). The comparison of estimators among the proposed estimators with respect to their biases has also been done.The results have been illustrated by carrying out the simulation study.
Key concepts: Estimator, Population mean, Extremum estimator, Mathematics, Statistics, M-estimator, Population, Variable (mathematics)