NEW EFFICIENT CLASS OF ESTIMATORS FOR THE POPULATIONVARIANCE

摘要

In this paper, we propose a new efficient class of estimators for the population variance of the study variable using information on the auxiliary variable. The expressions for bias and mean square error (MSE) of the proposed estimator are obtained upto the first order of approximation. An optimum estimator for the proposed estimator is also obtained and its optimum properties are studied. It is shown that the proposed[estimator is more efficient than sample variance, traditional ratio estimator dueto Isaki (1983), Singh et al. (2011) exponential ratio estimator, estimator based on Kadilar and Cingi (2003) ratio estimator for the population mean etc. estimators under optimum conditions. For illustration, an empirical study is also carried out.