01625caa a2200229 4500 210621s9999 xx 000 0 und d 2162-8475 Biradar, B.A Estimation of the Population Mean Based on Extremes Ranked Set Sampling Scientific & Academic Publishing Co 2015 All India Institute of Speech and Hearing, Mysore, India Department of Studies in Statistics, University of Mysore, Mysore, India biradarbs@statistics.uni-mysore.ac.in 32-36 Volume 5 Issue 1 This paper is concerned with ranked set sampling theory which is useful to estimate the population mean when the order of a sample of small size can be found without measurements or with other methods. In practice ranking a sample of moderate size and observing the i-th ranked unit (ranking of middle ordered units) is a difficult task. Therefore, in this paper we propose two estimators of the population mean based on extremes ranked set sampling methods. The proposed estimators are unbiased for the population mean when the underlying distribution is symmetric. It is shown that the proposed estimators are more efficient than their counter part simple random sampling method for distributions considered in this study. Ranked set sampling, Extremes ranked set sampling, Population mean, Relative efficiency, Errors in Ranking Santosha, C. D American Journal of Mathematics and Statistics https://dox.org/10.5923/j.ajms.20150501.05 FJAS FJAS 17625 17625