A GENERAL PROCEDURE FOR ESTIMATING THE MEAN OF A SENSITIVE VARIABLE USING AUXILIARY INFORMATION
Resumen
This paper proposes classes of estimators for the mean of sensitive variable utilizing information on a non – sensitive
auxiliary variable. Expressions for the biases and mean square errors of the suggested estimators correct up to first order
of approximation are derived. It has been shown that the suggested new class of estimators based on the known
population mean X and variance Sx
2 of the auxiliary variable X are better than conventional unbiased estimators which
do not utilize the auxiliary information, Sousa et al.’s (2010) ratio estimator and Gupta et al.’s (2012) regression
estimator under a very realistic condition.
auxiliary variable. Expressions for the biases and mean square errors of the suggested estimators correct up to first order
of approximation are derived. It has been shown that the suggested new class of estimators based on the known
population mean X and variance Sx
2 of the auxiliary variable X are better than conventional unbiased estimators which
do not utilize the auxiliary information, Sousa et al.’s (2010) ratio estimator and Gupta et al.’s (2012) regression
estimator under a very realistic condition.
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