A GENERALIZED CLASS OF ESTIMATORS FOR THE FINITE POPULATION MEAN WHEN THE STUDY VARIABLE IS QUALITATIVE IN NATURE
Resumen
This paper suggests a generalized class of estimators for the population mean of a qualitative study variable in simple random
sampling using information on an auxiliary variable. Asymptotic expressions of bias and mean square error of the proposed class of
estimators have been obtained. Asymptotic optimum estimator has been investigated along with its approximate mean square error.
It has been shown that the proposed generalized class of estimators are more efficient than all the estimators considered by Singh et
al. (2010) in case of a qualitative study variable. In addition theoretical findings are supported by an empirical study based on real
population to show the superiority of the constructed estimators over others.
sampling using information on an auxiliary variable. Asymptotic expressions of bias and mean square error of the proposed class of
estimators have been obtained. Asymptotic optimum estimator has been investigated along with its approximate mean square error.
It has been shown that the proposed generalized class of estimators are more efficient than all the estimators considered by Singh et
al. (2010) in case of a qualitative study variable. In addition theoretical findings are supported by an empirical study based on real
population to show the superiority of the constructed estimators over others.
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