A GENERAL EXPONENTIAL FAMILY OF ESTIMATORS FOR POPULATION MEAN USING AUXILIARY ATTRIBUTE
Journal Title: Journal of Science And Arts - Year 2020, Vol 1, Issue 50
Abstract
The present article addresses the problem of improved estimation of population mean of the study variable. For elevated estimation, we suggest a new generalized exponential ratio type family of estimators of population mean using auxiliary attribute. The bias and mean squared errors (MSE) of the suggested family are derived up to the approximation of order one. The optimum value of the characterizing scalar is obtained and the minimum MSE of the suggested family is also obtained. Further more generalized class is also proposed and the suggested family is its special case. The minimum MSE of this class is also obtained for the optimum value of the scalar. A theoretical comparison of the suggested class has made with the competing estimators of population mean. An empirical study has also been performed to show that the suggested class is better than the competing estimators of population mean
Authors and Affiliations
Subhash Kumar Yadav, Tolga Zaman
Keywords
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