Authors

• E. Zamanzade
• H. Mohammad Ghasemi

Department of Statistics, University of Isfahan, Isfahan 81746-73441, Iran.

Abstract

‎In this paper‎, ‎we  consider the problem of  estimating E(Y) based on a simple random sample when at least one of the population quantiles is known‎. ‎We propose a stratified estimator of  E(Y)‎, ‎and show that it is strongly consistent‎. ‎We then establish the asymptotic normality of the suggested estimator‎, ‎and prove that it is asymptotically more efficient than the standard mean estimator in simple random sampling‎. ‎For finite sample sizes‎, ‎Monte Carlo simulation is used to show that the proposed method considerably improves  the standard procedure‎. ‎Finally‎, ‎a real data example is used to illustrate the application of the proposed method‎.

Keywords

• Mean estimation
• Relative efficiency
• Monte Carlo Simulation