Efficient class of exponential estimators for population mean in two-stage cluster sampling

For the purpose to estimate the population mean,when the available population is structured as clusters,we have proposed the class of efficient estimators in this paper under two stage cluster sampling. in this paper we have also discussed the estimators when the weights of clusters are either known or unknown and also when the clusters are of equal sizes. the expressions mean square error (mse) and equations have been derived for the proposed class of exponential estimators. some theoretical conditions have been identified for which the proposed class of estimators is more efficient than sukhatme et al. (1984) and mishara (2012). an empirical study has also been carried out in order to demonstrate the performance of the proposed estimators. the proposed estimators are more efficient than usual call of estimators. © 2015 pakistan journal of statistics.